How to Teach Math

Several years ago, I wrote a column explaining why math is an important subject. In it, I pointed out that the actual content, that is, the actual mathematical manipulations, didn't really matter.  What matters in math is the meta-concepts.

To be successful in math, you have to master an approach to the world that is inherently useful. College majors typically require mastery of a math course not because anyone cares about math, but because passing a math course is the easiest way to demonstrate mastery of the meta-concepts that everyone actually does care about.

Once you realize that math is about meta-concepts, and not about math at all, teaching math becomes really very easy.

1) Buy a math notebook.

Every frustrated math student, everyone who is poor at math, has one thing in common: they don't organize their work. They scribble numbers down all over the page without regard to sequence. If students learn ANYTHING in math, they must learn to break that habit.

So, beginning students should be actively discouraged from doing math in their heads. Yes, I know the Math-Bowl encourages this for the advanced students who compete, but it's not a good idea for beginners. Beginners need the external structure. So, buy a THICK, empty math notebook, with lots of empty pages.

2) Throw out the calculator

For basic math, they don't need it.

Calculators interrupt the student's concentration, forcing him to alternate between doing the procedure the problem requires and doing the procedure the machine requires, figuring out the correct sequence of key punches.

Calculators are mostly a distraction. No one needs a calculator until they start doing trigonometry or statistics. If they aren't doing either, then let them learn the multiplication tables.

If you think calculators should be allowed on basic math tests, then why shouldn't cell phones and internet access be allowed for reference on history or English tests? The Internet is the equivalent of a history or grammar calculator. Why bog down the student with memorization of useless dates and grammar rules when they could be doing higher-order stuff?

Now, watch the history and English teachers howl in outrage that you should suggest such a thing. Watch the math teachers smile sadly and say, "Yeah, well, welcome to our world, suckers."

3) Write down each step

The student must write down each problem as follows:

1. On the first line, the problem itself
2. On the second and subsequent lines, write each successive step.
3. No more than one operation (add, subtract, multiply, divide) is permitted in any step.
4. The answer is written at the bottom of the step sequence. 

No scribbling in side margins allowed at all. Don't allow multiple operations in any one step because beginning students get themselves confused easily. Each step does exactly one thing, that is all.

Ignore their whining. Even if a beginning student gets the answer correct, the problem is wrong if they haven't shown all their steps. Make that clear. Stand over them for a month, enforce it, and they will gain the habit. Ingraining into them this single, solitary little trick solves over half your math problems overnight.

4) A fresh sheet of paper for every problem 

Math is not an exercise in conserving paper. Be profligate. Paper costs less than half a cent a sheet. Splurge. Once they have successfully trained themselves to write out every step, you can alter this rule to allow more than one problem per page, but even then NEVER let them break a problem over two sheets of paper. Ever. No. I mean it, don't do it.

Beginning students get a feeling of accomplishment from seeing all their work laid out neatly at a glance. It feels restful, as the eye glides downhill through the gears of the problem and finally takes up its ease at the bottom of the sequence, peacefully resting upon the (correct) answer.

5) When they get stuck

First, if there is ANY sign of margin scribbling, turn the old sheet of paper face-down, start on a fresh sheet.
No.
Do it.
If you start on the old sheet, all the old scribblings will be a distraction. The student will wander down rabbit-trails trying to figure out what went wrong with the previous procedure. Clear his mind. Start fresh. Give him the gift of new eyes and a clean slate.

Now, math teaches a lot of (seemingly) arbitrary procedures. The student has to know all the procedures and know when to apply which procedure. Both parts of this are hard, but the second part - knowing when to apply which procedure - is the hardest. So, when he gets stuck and isn't sure what to do next, here's what you do:

• Ask him a question you are sure he can answer.
• When he answers correctly, affirm it ("That's right."), 
• Rinse and repeat. Ask a series of questions, each one of which you are confident he can answer.
• Build that series of questions so as to lead him to or through the correct procedure.
• In basic math, this question will always come up at some point: "Do you think you would add, subtract, multiply or divide?" Those are the four basic operations, and one of them is almost certainly going to be part of the path to solving the problem. 
• The student is almost always able to weed out at least a couple of the operations. That instills self-confidence, it shows partial mastery.
• Don't give the student the answer. 
• Ever. 
• Always respond with a question you know s/he can answer.
• Once s/he has gotten the answer, point out the truth: "I didn't tell you the answer. All I did was ask questions. You KNEW all the answers. You already KNEW how to do it."
• And the student DID know how to do it. He just needs to internalize how to ask himself the same series of questions you asked.
• Don't point this out. 
• Simply keep repeating this sequence with him on every problem he has, week in, week out, making sure he writes down every problem step-by-step
• He will learn to internalize the question sequence himself. He will start asking and answering his own questions. 
• At that point, you can go bake brownies.
• This whole sequence only takes a couple of months to instill. 

Once this basic skill set is instilled, it is now permissible to have the student walk through the steps of a failed problem to see where the mistake was made.

• If each step has only one operation, it will be relatively easy to see which step failed. 
• Now the student will see the wisdom of the step-by-step process.
• He doesn't have to re-do every problem from scratch. 
• He can find and correct his own mistakes easily.
• Once he realizes this, math becomes almost bearable.

6) When YOU get stuck

Don't be afraid to say, "I don't know. Let's Google it." You don't have to know everything in math. In fact, you don't have to know ANYTHING about math. Remember, math isn't about math. Math is about learning how to be

• organized, 
• good at documenting details, 
• good at being detail-oriented, and 
• good at following and trusting arbitrary procedures.

None of those skills require you to know the arbitrary procedures yourself. Even if you are no good at math, you will naturally be better at searching for the correct way to do it. Model how to search for the right way to do things. Have your student watch you as you bumble along, figuring it out.

The student thereby learns:
(1) it is ok to not know something,
(2) this is how you find out what you don't know,
(3) Searching for the right procedure takes time and that's also ok,
(3) Perseverance can be as important, or more important, than possessing knowledge.

That's all there is to teaching math.
Seriously.

Well, that and liberal use of Khan Academy. Yes, I have a degree in computer science, minor in math, and have taught developmental math at the college level for years, but I taught my children almost no math at all. There's no point. Khan Academy teaches the concepts as well or better than I could. I only got involved if a video was opaque (unusual) or a solution sequence unclear (also unusual).

Often-times, I would walk along through the Khan Academy solution to the problem as perplexed about the correct sequence as my child was. It's not like I remember most of the stuff I learned thirty or forty years ago. We would discover the solution together, which was rather fun.

No, the only way I have ever taught math was to follow the sequence I have described above. It works.

Update:

A friend reminds me that I have omitted an important step.  Obviously, patience on the part of both teacher and student is a developed skill that is the absolute key to the method, on both parts.

But here's the step I'm missing: constantly remind the student that math requires only one thing - it simply requires you to be as perfect as God. You can't make any mistakes. Easy, eh?

I used to regale the children with stories of mathematicians who made very simple mistakes and destroyed millions of dollars worth of equipment, or entirely killed people. Everyone makes math mistakes, even the most skilled engineers and mathematicians. As I have frequently pointed out, I am a math teacher because I have gotten thousands more problems wrong than any of my students. My students can only become math teachers if they have failed as often as I have.

Fail early and often!
Join our club!

Is Wealth Inequality Bad?

Many people, including Pope Francis, rail against wealth inequality. From an economic perspective, it is not at all clear why. Wealth inequality actually corresponds quite well with the rising tide of affluence throughout the world. Right now, during a period of the most extreme wealth inequality between nations ever, we are also on the verge of wiping out extreme poverty. This is not a coincidence.

I have noted before that the office of the papacy does not include the requirement that the Pope be very knowledgeable of economic theory, nor that he be very intelligent in his comments on it. While the Church has a duty to serve the poor, the method by which the poor are best served is largely prudential - different people might legitimately choose different means to solve it. Wealth inequality, by itself, is not a sin so long as everyone's minimum requirements for food, clothing, shelter, education, medical care and basic human dignity are being met. Quite frankly, all but the last of those minimum needs are being met much better today, in a time of enormous wealth inequality, then they have ever been met in the entire course of human history.

In fact, things have gotten so much physically better precisely as a result of growing wealth inequality. Wealth inequality is correlated with EVERYONE getting out of poverty.
The "trickle-down" theory of Reaganomics is a fine example of how inequalities actually help everyone. Even Ted Kennedy admitted that much. The rising tide which brings incredible wealth to the 1% ALSO lifts the 99% out of poverty. The mechanics for how it works is very straightforward.

Take laparoscopic surgery, for instance. When I was young, that was only an option for millionaires. But, as more millionaires bought the procedure, economies of scale kicked in and semi-millionaires could afford it. There were a lot more semi-millionaires than there were millionaires, so scale kicked in again, repeatedly. As cost fell, more and more people could afford it, so more and more people did it, which dropped costs still further. The increase in scale also meant the procedure became increasingly streamlined and efficient, if only so as to handle the demand better.

Today, laparoscopic surgery is standard procedure for gallbladder and appendix removal, among a host of other applications. It provides cheap out-patient surgery that simply didn't exist 50 years ago. Why? Because millionaires volunteered to act as the guinea pigs. They were the only ones who could originally afford it. As they and their extremely well-paid doctors refined the procedure, it became increasingly available to the rest of us. Today, it is so common that it doesn't merit mention.

The same thing happened with cell phones. The original radio phones and cell phones were the size of bread boxes and cost more than any average Joe could possibly afford. But millionaires needed to stay in constant contact with their businesses and with the stock market, so they bought the tech. They served as the guinea pigs. As scale increased, price dropped, efficiencies improved. Now, literally everyone in the US can afford cell phones. And not just cell phones. Today's phones are the 1960s equivalents of super-computers that fit in our pocket and put us in touch with most of humanity's combined store of knowledge. The rich people and their richly rewarded tech outfits worked out the kinks. We have all benefited.

THAT is what wealth inequality does. It allows millionaires to act as guinea pigs for new tech. If it doesn't work, they waste their money and/or die. If it DOES work, then I get the tech about fifteen years later, because by then, the cost has dropped down to where even I can afford it.

Wealth inequality is an extremely efficient way to utilize resources. If I have a new tech idea, I can either try to convince tens of thousands of middle-class people to fund my idea, at great personal risk to each of their wealth stores, OR I can convince one extremely wealthy person to fund it at minimal risk to his wealth store. It was easier to do the latter than the former. Even today, being on Shark Tank will bring you funding in literally 20 minutes, while promoting the same project on Kickstarter will take days, weeks, or months to accomplish the same level of funding. It is far easier for Elon Musk to guide a project like the Falcon Heavy or BFR to successful completion than it is for ten thousand people to agree on how to do so, and that assumes you could get the funding from that ten thousand at all.

Wealth inequality is not the problem many people make it out to be. In fact, wealth inequality has historically been the solution which has made us all fabulously wealthy by any historical standard you care to name. Because of wealth inequality, the rich are willing to serve as the experimental guinea pigs necessary to bring functioning solutions to the masses. That's not a bad thing.

We have a knee-jerk reaction against wealth accumulation because we innately see the world as a zero-sum game. And the fallen world often acts and reacts as if it were. But the whole point of Christianity is to change our world-view. A Christian understands that God's grace and power are infinite, therefore the zero-sum game view can never be correct. Insofar as we image God, we have the ability to change our world from being zero-sum to being infinitely resourceful and wealthy.

Can we create Utopia? Physically, sure. Spiritually, not a chance. We are still fallen creatures, and that will always prevent us from establishing any real paradise on earth. We are slowly solving the problem of physical poverty. It really is going to disappear, possibly in our lifetimes.

But spiritual poverty? As long as anyone in the world is not Catholic, then the world still suffers from extreme spiritual poverty. THAT is the wealth inequality which we, as Catholics, need to remedy. Fortunately, from that viewpoint, Catholics are the rich one-percent. We have infinite resources that can be delivered to the poor among us, and make them all wealthy too. As physical riches percolate out into the world, that is the only wealth inequality we really need to be concerned about.

Hepatitis C: We Pay More, Thank God

This is a popular meme floating around the Internet. Sometimes it picks India, sometimes Egypt, but the idea is the same. The US pays 84 times or 250 times or some ungodly percentage more than these lousy third world countries! Why are US citizens being gouged?

Well, to put it bluntly, US citizens are NOT being gouged. When all things are considered, those prices are all pretty fair. To begin with, let us simply accept the numbers above without argument. For this analysis, we shall add some numbers of our own.

Country	Price / pill	% of US cost	Median Income	% of US Income	Hep C Prevalence
USA	$1000	100%	$51,700	100%	3.2 million
Egypt	$    11	1%	$  5,680	11%	38 million
India	$      4	0.4%	$  3,800	7%	10-15 million

So, the average American earns 10x as much as the average Egyptian and roughly fifteen time as much as the average Indian. One would think, based just on this, that the average Egyptian treatment would cost one-tenth as much. That is, it would seem the price should be $100 per pill in Egypt, for instance.

But, then we have to factor in the prevalence of the disease. Egypt has 10x as many cases of hepatitis C, India has 3-5x times as many cases of the disease. So, we have to knock down the Egyptian price by another factor of ten (due to volume) and lo! The price is pretty much correct. When you factor in both India's disease prevalence and income, even the Indian price is not that far off.

There's no reason to stop with the table above, though. Try factoring in the sub-populations that actually get infected with hepatitis C and therefor have to pay these different prices. The "disparity" becomes even more interesting.

In the United States, hepatitis C is primarily the scourge of IV drug users and, to a lesser extent, homosexuals. Homosexuals tend to be richer than the average American. They are narcissists who have no children, and who claw their way up the corporate ladder quite efficiently, that is, they tend to get paid more. Conversely, in Egypt and India, hepatitis C most adversely effects the poorest of the poor. It is the poor in these countries who are the least likely to have access to clean water.

So, let's summarize those numbers with fresh eyes. In general, American IV drug users and homosexuals are subsidizing the medical treatment of the poorest of the poor in the Third World.

Personally, I can find no reason to object to this arrangement.
Can you?

On the Absurdity of IQ Tests

My daughter read this Huffington Post story, and asked me what the big deal was about IQ tests. Here's what I told her.

What you are reading is one voice in a LONG argument that has extended for at least the last fifty years.

IQ testing unquestionably has eugenics origins. It was invented by eugenicists, administered by them and normed by them. The whole point of IQ testing was originally to keep southern Europeans, Mexicans and Asians out of the country.

This is bad. Eugenicists are not nice people. They say that some people are more valuable than others, they support abortion, euthanasia, yada, yada, yada. It is a very ugly philosophy. Unfortunately, a lot of interesting results have come from these eugenics-inspired tests.

For instance, over the course of time, IQ has steadily risen across the board throughout every aspect of the population. No one is quite sure why this has been happening for the last century, but the suspicion is that improvements in nutrition and medicine, along with reductions in pollution (particularly the removal of lead from gasoline and household paints, which greatly reduced the blood levels of lead in all populations, especially the poor) contributed quite a lot to this effect.

During the 1950s and 60s, the argument was made that the IQ test was really a test of culture, not a test of IQ, so in the intervening 50 years, there have been many attempts to "fix" them so that they really do measure intelligence. The problem is, none of the "fixes" seemed to cause the various sub-populations to test the same. Some subpopulations always test smarter, other always test stupider.

No matter how the tests have been "fixed", on average, Asians always score the best, whites second, Hispanics third and blacks fourth. Women always cluster close to the mean, men always scatter out so that (a) their mean is lower and (b) there are more outliers at BOTH ends of the IQ scale. This doesn't speak to any particular individual, of course, only averages.

People who want the tests to reveal absolutely no real differences between different genetic populations always insist the tests are skewed, but they can't figure out how to fix them so that they don't produce these results. Psychologists have pretty much given up. They admit privately that there are real differences in the average IQ of various populations, but they can't say this out loud without being called "racist" or some such, so you get articles like the one you found, where people who don't like the results sob loudly for their lost cause, and psychologists shift uncomfortably from foot to foot, then state firmly that they are going out for a beer and does anyone else want them to pick something up while they are out?

The major problem with IQ tests is that they only measure the ability to engage in rational thought. They don't measure a person's happiness in life, they don't measure how happy one person makes someone else. They don't measure artistic ability, musical ability, the ability to care for or empathize with animals, other human beings, etc.

The original high-IQ society, Mensa, was envisioned to become a powerhouse of world happiness. Put all these really smart people together in a room, the reasoning went, and they would solve the world's problems. But the actual organization has never solved anyone's problems. None of the dozens of high-IQ societies that have been created since Mensa have done anything useful either. Each one seems to be a way for some specific small group of people to pretend to be superior to some other slightly larger group of people (the top 1% vs the top 0.1% vs the top 0.01% and so on).

In fact, all IQ tests seem to do is produce high-IQ societies filled with people who do really hard crossword puzzles and odd math sequences while dressing oddly. So, the whole debate is, at this point, kind of stupid. Sure, some high-IQ people do useful things, but a lot of high-IQ people really don't do anything useful, so what's the point here?

It's the modern equivalent of arguing about how many angels can dance on the head of a pin: how many IQ points does it take before you actually accomplish something useful? Take Marilyn vos Savant, for instance, who has highest IQ ever recorded (note that she is female, in contradiction to the average). She hasn't done a single useful thing in her life, apart from making money off her IQ score. She hasn't invented anything, accomplished anything that helped anyone in any serious way - in terms of helping society, she has completely wasted her life. So... who really cares about IQ? What does it ultimately buy us?

Paying Tribute to America

In ancient times, any country conquered by Rome had to pay tribute to Rome. These vassal states had to spend their own resources to build up stores of grain, honey, and other trade goods in order to ship them to Rome for free, or at a greatly reduced price. This was how they acknowledge Rome's hegemony over them.

Today, countries acknowledge America's hegemony by doing the same thing. Other countries build up stores of trade goods at their own expense and ship those goods to us at a greatly reduced price, a price subsidized by foreign governments, in the hopes that we will buy those goods.

From an economic perspective, Trump's "Buy American" policy runs counter to his "Make America Great Again" policy. America proves her economic greatness when vassal countries ship us cheap goods whose manufacture has been subsidized by foreign governments. Whenever the foreign government throws government money at producing a good that will be sold in the US, that government has essentially sent us a check to help us prop up our economy. Foreign-subsidized goods that enter the US are as much free money as any cashier's check, grain shipment or oil shipment we send for cheap or free to a third-world country.

Americans frequently complain about the amount of free money we send to other governments, other countries. They almost never acknowledge that foreign-subsidized goods are free money that those foreign states send to us. Every dollar a foreign government spends to produce a good is a dollar in tax that they pay to America in exchange for the privilege of being allowed to sell to Americans. Foreign subsidies of goods are nothing more than tax dollars paid by foreign citizens, collected and paid, by foreign governments, as tribute to the United States.

Thus, forcing American government projects to "buy American" is absurd. We should be buying the least expensive material from whoever produces it. If we are lucky, foreign countries will subsidize the production of the steel, oil, etc., that we use in our projects. When we build American projects on American soil, any decent economist would much prefer the material in those projects come from companies that are subsidized by foreign governments. That's free money for us.The "trade deficit" is not a bug, it's a feature. It proves that America receives more money from vassal states than she sends out.

"It is no coincidence that the smallest American merchandise trade deficit since 1982, $74 billion in 1991, occurred during the period’s only recession."

To reiterate, foreign government subsidies of any industrial good we import is nothing more or less than a foreign country paying tribute to America. Foreign subsidies acknowledge American economic superiority. THAT is what I want. Do you want to Make America Great Again? Buy foreign goods. Make sure the world keeps paying its taxes to us.

Corporations and the American Dream

Libertarians, the political teenagers who want to have their cake and eat it too, always complain about government over-regulation and the imposition of other people's values. "We should have the right to live as we please, without government interference!" they cry. "Enough of government regulation!"

But the absurdity of their position is apparent after a moment's thought. The government "over-regulates" - what a judgemental word! Doesn't that word impose libertarian values on others, wherein some random libertarian gets to determine what counts as 'over-regulation'? And what if large corporations WANT a lot of regulations? Shouldn't it be their right to try to get those regulations in place if they want them?

The corporate-government nexus is a revolving door. Corporations donate their executives to government and draw their executives from government. Corporations write and pay for the implementation of laws that will protect their businesses from competition. "Government" is just the word we use for corporations working together to protect their respective turfs. "Big"  government and "over-regulation" is a natural result of a free market in which some people do MUCH better than others, and want to keep it that way. Has it never occurred to anyone that using words like "crony capitalism" and "over-regulation" is just as much an imposition of values on everyone as insisting on income equality is?

And this is another point that libertarians don't quite understand. They argue that income inequality is good. They are correct. Yes, it is demonstrably true that income inequality has been associated with the largest improvement of the world's general welfare in human history. Consider: in 1800, everyone was equally poor. No matter how much money you had, you still got smallpox and polio, your cattle died of rinderpest, you couldn't buy air-conditioning, antibiotics, analgesics, laparoscopic surgery, a cellphone, or a 2017 Honda Odyssey. Now, even those in the most extreme poverty won't die of smallpox, their cattle won't die of rinderpest, and we all have, as of 2017, 16 chances out of 7 billion of getting polio. Even the poorest may not have direct access to air-conditioning, antibiotics or a cellphone, but there is likely someone who could gift any of those things in a heartbeat. Income inequality is real, and it is one of the hallmarks of a much less impoverished world.

In short, it is demonstrably the case that income inequality has reduced poverty throughout the world. Income inequality arises because some people are much better at serving everyone's needs than other people are. The people who are best at serving other people's needs get physically rewarded. They are rich.

I don't have any problem with people being unequally rewarded for having unequally served people's needs. Those who serve needs better should be better rewarded. I am perfectly fine with income inequality. But let's not pretend that "over-regulation" and "crony government" is anything other than what it is: "over-regulation" is the capitalist system working as libertarians think it should. "Crony" government, "big" government, is the result of successful corporations creating favorable turf for themselves out of a shared resource (government).

According to libertarian theory, there should be nothing wrong with that, especially if it contributes to income inequality. And it will, because "over-regulation" and "cronyism" will prevent most entreprenurial upstarts, forcing those wannabees to endure poverty because they can't get past the government regulations. This allows corporations to continue to acquire massive wealth and increase the income inequality that ends up helping everyone. Just as jailers find it easier to serve prisoners if every prisoner is regimented in his own cell, so corporations find it easier to serve customers if all the customers can be trained to want the same thing and respond the same way to the same stimuli.

A corporation is not much different than any other person. You own a gun, corporations pretty much own law enforcement. You have pets, corporations have customers. You allow your pets to do what they want, as long as they aren't defecating in your house or climbing on the furniture. Corporations allow customers to do what they want, as long as they don't compete with the corporate profits at year's end.

If corporations are legally "persons", and they are, then they have as much right to do what they want as you and I. If what corporations want is to regulate things so as to maximize profits, well, that's the American dream, right?

Perversion on the Liberal Left

The left lionizes homosexuality, trans-sexuals and the whole LGBTQwxyz thing but is happy to label heterosexual interactions (men chasing women or women chasing men) "perversion".

Screaming Children: God's Blessing

Liturgy, it is said, is the life of the Church. The word itself means "work of the people." It originates in pagan Greek practice, where the wealthiest Greek citizens of a city-state would ritually donate warships, plays, public buildings and festivals to honor the city of their birth and give delight to its citizens.

Christians began using, in their own buildings, the adaptations of Jewish Temple ritual that Jesus had taught them. Christians called their ritual "liturgy" to show that it honored the City of God. The rituals that Jesus empowered with the grace of the Crucifixion were performed by Christians in order to deliver the sacraments and the divinizing grace of those sacraments to the people. This makes the people holy and thereby builds up the City of God. Just as with the pagan Greeks, the divine liturgy" was the "work of the people", but unlike the pagan Greeks, Christian liturgy actually carried divine power. In part, the divine liturgy makes up what is lacking in Christ's suffering, for the sake of the Church, just as Colossians 1:24 promised to do. By using the pagan Greek word to describe God's work in their lives, the Christians helped pagans understand the Paschal Mystery and the Body of Christ.

Jesus was both human and divine, so the liturgy is work done by human beings, but carrying divine power. The Mass is about the Passion, Death, Resurrection and Ascension, which are the four aspects of the Paschal Mystery. Each of the four aspects of the single act which is the Paschal Mystery is itself inexorably linked to one of the four reasons for Christ's Incarnation (CCC 457-460). God became man to To show us how much He loves us (Passion), To save us from our sins (Death), To give us a model of holiness (Resurrection), To divinize us (Ascension).

Thus, the Mass is always about those four actions and those four reasons.

So, what does a screaming toddler have to do with any of this?
Does the toddler make you suffer?
Ohhh.... poor you.

Does the toddler force you to die to your self-perceived facade of holiness because you suddenly find less than serene thoughts floating through your mind?
Oh... that must be terrible for you.

Does the toddler give you the opportunity to rise above your petty selfishness?
Good.

Does the toddler give you the opportunity to again climb the mountain back into the liturgy, this time with a better understanding of your own failings in charity towards others?
Why, this is most excellent!

Were there screaming children watching the condemned men process up the road to Calvary? I bet there were. Did Golgotha have a cry room? Call me a skeptic, but I doubt it.

The Mass is the life of the Church, and my life is my life before God. In both of these lives, there are screaming children, children acting out, children running up and down aisles, playing with toys instead of paying attention, children even trying (succeeding?) in running into the sanctuary during Mass. The difference between children in the life of the Church and the child in MY life, is that the child in MY life is ME.

I scream when God offers me holiness, I ignore His call, I play with toys rather than pay attention, I run up and down my every day life without thought nor care of God. That child acting out in front of me is a visual representation of ME, every day, even AFTER I have had my morning coffee. That's why so many of us hate hearing children at Mass. Those kids are way, way too much like offensive little ole' me. If I don't want my own self-perception pierced, then I damned well can't have children around showing me off to myself.

Get thee to a nunnery!
Or a cry room.

Or anywhere, really, but in front of me. This glass is not darkly enough, I can still see into it. I don't want face-to-face, I want the picture of Dorian Gray in front of me, so I can pretend it is my mirror. Let me have children about me that are fat, Sleek-headed children and such as sleep a-Mass. Yon screaming child has a lean and hungry look. He suffers too much. Such children are dangerous.

This child is ... this child is... this child is a living, breathing, sobbing tableaux of the Crucifixion, and I am really not able to face Christ crucified. Give me the quiet Mass and its quiet illusion of quiet. Take away from me this image of the bloody, snot-streaming Christ. It offends my gentle holiness.

Yes.
Yes, it does.
And that's a GOOD thing.

What is a Distributed Ledger?

Ask for a description of cryptocurrencies, and the reply will always involve the phrase "it's a distributed ledger..." They say it as if you are supposed to know what it means. Who the heck does? What on earth is a distributed ledger?

The best thumbnail description I've seen is to think of an Excel spreadsheet. Lots of rows and columns, and it's good for adding numbers, right? That's a ledger - it's just a spreadsheet.  Saying it is "distributed" means that copies of the spreadsheet are held on hundreds or thousands or hundreds of thousands of computers at the same time. Any change made to one spreadsheet is automatically replicated to all of the others. Every computer that has a copy of the spreadsheet has to process or "vote" on whether or not to accept the change.

Who can change the cells of the spreadsheet? Well, that's where "coins" come in. Think of each cell as a separate "coin". Access to the cell is granted only to the person who holds the cryptographic keys to that cell. In this analogy, the "blockchain" would just be the map of all the spreadsheet cells.

Just as a spreadsheet can hold numbers or text, and the numbers can be currency or dates or anything else, so the "coins" in the spreadsheet can hold data. Most people simply buy access to the coins, as one would buy empty real estate. You don't necessarily intend to ever build anything there, but when you buy a coin, you are expressing the bet that someone else will one day want to build something in that spreadsheet cell. So, some people build on their coins - put data or programs into the coins (cells) they hold - but most people buy coins for the same reason you buy real estate. You're betting this blockchain is going to become a bustling city, and everyone will want to build there. So, you buy some empty cells ("coins", "land," whatever you want to call it), and wait for the property values to go up.

The person who holds the cryptographic keys to a coin is the one who can stuff data or programs or whatever inside of that coin (land parcel). If you lose your keys, or your keys are stolen, then access to that particular coin is permanently lost.

You prove that you have rights to make changes to the "coin" by supplying your password. You can sell your coin to someone else without ever telling them your password. When you sell, the blockchain recognizes the transfer of ownership - you get the cash, someone else now owns the access to that spreadsheet cell or "coin" in that spreadsheet (blockchain).

Every time you want to make a change to the cell, either by putting data into it or transferring ownership, you have to pay a processing fee to all the computers that update their copy of the ledger for you. The computers that acknowledge and update their copy of the ledger are called "miners." The fee is generally magnitudes cheaper than you would pay a bank. Once enough miners agree to update their ledger, all the others than auto-update their copies as well. Generally, a transaction requires multiple "confirmations", three or six or nine or whatever, to initiate the auto-update on all the other thousands of copies.

Every change to the "coin" or cell is permanently written to the cell and visible to everyone. So, every transfer of ownership, every content addition or change, all of it is permanently recorded in the cell, impossible to erase. Everyone can see the whole history of everything that happened in that cell and to that cell, right down to the last niggling little detail. Forever.

So, if you want permanent records and don't mind them being publicly visible to everyone with access to a computer, this is a great feature. Every public record could be permanently recorded into a blockchain. Medical records could be put in a blockchain, instantly accessible by medical personnel anywhere. You might think "Good heavens! I don't want everyone to know I had my gallbladder out!" Not a problem - encrypt the data before you stuff it into the cell. Now everyone can see the encrypted data in the blockchain, but only you have the key. When you show up at the hospital, the doctors check the blockchain with the key you supply for that record, and they can see the relevant details about your gallbladder. Without the key, no one else can read the cell contents. Win-win, the record can be updated by the doctors with your permission and the payment of the very nominal processing fee to update the blockchain. These are a couple of use cases. There are many more.

Some blockchains have no upper limit to the number of cells in their spreadsheet, so new "coins aka "land" aka "spreadsheet cells" are continually created. Other blockchains have a hard upper limit - only so many coins will ever be created and that's it. Some blockchains generate new "coins" at a steady rate, a certain percentage a minute/hour/day. Other blockchains generate new "coins" according to other methods.  Some blockchains come with all the coins they will ever have already in existence when they first publish their Initial Coin Offering (ICO).

As I pointed out before, each blockchain has its own unique characteristics. How, and how many of, the new coins are generated (and how new coins are generated) affects the value of the coin. Just as there is no single agreed upon "best set" of qualities, there is no single agreed upon "best method" for coin generation. People are still figuring out what works best for which applications. All of these unknowns are why values fluctuate so steeply.

Is cryptocurrency overvalued, in a bubble? It really is impossible to tell. It should be obvious that this is a pretty new technology, a new way of thinking about how to deal with information. How useful is it? Well, that's what the market is trying to figure out. The more people think about it, the more useful it seems to be, which is why the "coins" or the "real estate value" of the various distributed ledgers are steadily increasing. Is a lot of it pure mis-calculation? Could it be that this thing is really a lot less useful than it appears? Sure.

It's a penny stock, land speculation, stock market gambling, all wrapped up in a portable package that transcends both national boundaries and national currencies. It allows anyone with a cell phone to become his own personal uninsured bank and banker. Is it safe? Probably not, but maybe it will be once we figure out what it is and how to cage it. Is it fun? Yes.

A Discussion of Cryptocurrencies

A friend asked me to weigh in on the various crypto-currencies. There are now over 1000 of them, and I can't claim to know much about more than a handful. That said, here is my take.

First, what is cryptocurrency? Cryptocurrencies are open-inspection distributed ledger systems. The value of crypto lies in the fact that these ledger systems put every transaction out in the open, essentially impossible to fake. Because the ledger is distributed across millions of computers, it is generally very difficult to corrupt or take down the system. If you need an accounting system with those characteristics, cryptocurrency does it better than any other accounting system. That is its value.

Those characteristics are worth money. No one is sure exactly how much, but as time goes on, more and more people are coming up with things where this crypto-currency distributed ledger system might be useful. Tracking mortgage transactions and title to land is one area. Tracking stock market transactions is another (e.g., Australia is moving to a crypto-currency ledger system for its stock market).  Every day, more use cases are being created, thus every day, crypto becomes more valuable.

While those are the general qualities of all cryptos, it is also the case that each of the thousand different ledger systems out there, i.e., each of the crypto-currencies, have slightly different characteristics. Some might be easier to program with, others may have faster transaction times, still others provide more guarantees of anonymity in every transaction. Thus different coins have different monetary values, based on whether the people investing think the characteristics of that particular coin are valuable.

Bitcoin is the most well-known and hyped, but is the least likely to win any long-term races for a variety of reasons. Its problems include the fact that it has relatively long confirmation times for trades and low transaction speeds. It is extremely difficult to program (Bitcoin code looks a lot like assembler, if you know what that means), so it is difficult to build applications on it. It is literally first generation architecture, the very first attempt at creating an open-inspection distributed ledger. On the plus side, because it is first, it gets all the hype. In addition, if you want to buy other cryptos, you generally have to buy some Bitcoin first. You trade dollars for Bitcoin, and Bitcoin for the currency you REALLY want. This means Bitcoin prices aren't going to go down until that changes. That won't change until a whole lot of cryptocurrency trading platforms allow for easier direct conversion of US dollars to cryptos beside Bitcoin. This is already changing, but there's a lot of room for improvement here. Improving this aspect of crypto trade won't take forever... a year or two at most. If you invest in Bitcoin, be prepared to switch to a different currency within the next few months/years.

What should you switch to?

Ethereum is a good platform, widely adopted, much better suited for general use. It is much easier to code, much easier to build applications on, and currently has faster, cheaper transaction times. A lot of big-name companies are building on Ethereum. There is little question Ethereum's value will outlast Bitcoin. It is definitely a more intermediate investment that will hold value for, hopefully, the next several years.

Monero's claim to fame is its privacy protections. It is very strong in that regard and those privacy protections are what drives the major value in this coin offering. Bitcoin claims to provide anonymous transactions, and that is kind of true, but not entirely true. While it is hard to do, it is possible to track a person's Bitcoin transactions. Monero takes "hard to do" and tries to turn it into "damned-near impossible." If you don't like having people all up in your business, then Monero is an appealing coin.

There are a few other cryptos I have looked at, but none of the others are really worth mentioning here, except for one. Of all the cryptos I know about, my favorite up-and-coming coin is Cardano. 

First, Cardano is still extremely inexpensive.  Second, it has GREAT modular design. Third, it was created using the Haskell programming language, which theoretically reduces the likelihood of bugs. It's programming interfaces are very modern and allow the use of several of the most popular programming languages. In fact, it is, to my knowledge, the most modular coin on the market.

What does "modular" mean? It means various characteristics of the coin can be taken out and replaced without disturbing the coin's basic ledger system. Even the coin's base cryptography can theoretically be changed out at a moment's notice.

I mention this particularly because of something called quantum computing. Nearly all of the crypto-currencies out there are built on a cryptographic system called "asymmetric key algorithms." This kind of cryptography is gold-standard for regular computers, because it is essentially impossible to crack. It is used for nearly every kind of cryptographic transaction you can think of: banks, credit cards, spy stuff, even your Amazon purchases all use asymmetric key.

Sadly, asymmetric key is theoretically breakable with quantum computers. If quantum computing ever becomes a thing, not only are all of your Amazon purchase now at risk, anyone holding asymmetric-based crypto coins can have all of those coins stolen in just a few minutes. That may be the least of your worries: if quantum computing becomes a thing, every bank account in the world can be broken into in just minutes as well. The whole world depends on asymmetric key crypto, and quantum will break all of it.

The problem is simple: quantum computing will be able to solve entire classes of problems very quickly, so many big organizations, including IBM, Intel, Google and most national governments, are working to create big quantum computers. When they do, all asymmetric algorithms suddenly become much, much more vulnerable. It will be a freaking nightmare for security experts. 

But, while quantum (when it is more fully developed) can take out asymmetric crypto, it can't do anything to symmetric crypto. That's still safe. So, all existing asymmetric applications, including cryptocurrencies will, at some point (probably within the next 10 years), have to switch over to symmetric cryptography for their basic security. There are technical reasons why this has not been done yet (for instance, the key-size for symmetric crypto is not small), but everyone can see that it is coming. We've got maybe a decade, and then the deluge.

Because it is hard to code, Bitcoin is very badly positioned for such a switch. Ethereum is better off. Cardano is, from what I can see, as close to optimal for such a switch as we are likely to get in the near future. For this reason, I consider Cardano a definite long-term buy and hold. As more people become more educated about crypto-currencies in general, I expect non-Bitcoin crypto-currencies to increase. Cardano should, if my assessment is correct, go up by a factor of at least 100.

What Is Natural Law?

Contrary to popular opinion, natural law has nothing to do with "nature red in tooth and claw". Darwin's theory, whether true or not, has absolutely no bearing on natural law theory.

Natural law speaks to morality, the nature of sin and virtue. Darwin's theory says absolutely nothing about morality, sin or virtue. In fact, Darwin's theory does not even allow for value judgements. You cannot say something is "more evolved" or "less evolved", you cannot call one adaptation "better" or another "worse." You can only speak of whether or not an organism's chances of survival are greater or less, given the circumstances. That's it.

Apart from using the generic concept of a thing having a "nature", natural law theory also has nothing to do with pagan Greek thought. Natural law is a purely Christian concept that supports the purely Christian concept which is personhood.

For an example of how natural law works, let us assume two couples. Each couple gives birth to a sickly child. The first couple takes the child out to the forest and abandons it among the trees, where insects, birds, coyotes and other animals eventually eat the child (either eat the child alive, or eat its corpse, because the child died from exposure).

The second couple take their child to the NICU, where a team of doctors and nurses spend days hooking the child to machines, artificial pumps, artificial temperature control, etc., in order to assure the child's survival.

Which couple acted according to the natural law?
Since God is love, and God is life, and we are made in God's image and likeness, the SECOND couple acted according to the natural law. They acted as God acts, assisting the little one in need. Meanwhile, the first couple acted contrary to the natural law by abandoning their child to certain death.

That's natural law. Natural law is not about the laws of nature. Natural law is about how men are meant to image, in their own bodies and their own actions, the very life of the Three Persons of the Trinity, the God Who Is Love and Life. Darwin simply isn't relevant. 

Natural law theory rests on our grace-empowered ability to image God's life of love. If God sends the grace (and He does), then we can live natural law - we can live according to our nature. If He does not, then we cannot. Our rational minds need grace to choose the good, our bodies need grace to do the good. Without grace, as St. Paul said, I know what is good, but I do not choose it, rather, I choose that which I know is not good. Natural law does not work without grace.

Liturgical Christians know that the Fall marred human nature, but did not totally destroy it. In order to believe in the concept of "inherent human rights", America's Founding Fathers had to implicitly repudiate Luther and accept liturgical Christian understanding of human nature: marred, but not destroyed. Thus, if the Founders were correct about inviolable human rights, it is only because they implicitly refuse to accept total depravity. It is only because they embraced the Catholic understanding of human nature.

On Roy Moore

1917 Code of Canon Law - legal age of marriage for women is 12.

1983 Code of Canon Law - legal age of marriage for women is 14.

Even if the allegations are true, Catholics cannot really entertain a brief against Roy Moore.

Advent Play List

Courtesy of Jeff Miller

+ Adjuvabit eam
+ Alma Redemptoris Mater
+ Angelus Ad Virginem
+ A Maiden Most Gentle
+ Benedixisti Domine
+ Christ Whose Glory Fills The Skies
+ Come Thou Fount of Every Blessing (18th Century)
+ Come, thou long-expected Jesus
+ Come Thou Redeemer Of The Earth
+ Comfort Ye My People (Messiah)
+ Conditor alme siderum
+ Creator Alme Siderum
+ Creator of the Stars of Night
+ Dies Irae - Tuba Mirum (Messa Da Requiem)
+ Every Valley Shall Be Exalted (Messiah)
+ Gabriel's Message
+ Hail to the Lord's Anointed
+ Hark The Glad Sound!
+ Hark! A Thrilling Voice Is Sounding
+ High O'er The Lonely Hills
+ Holy is His Name
+ I Sing of a Maiden
+ I Wonder as I Wander
In The Bleak Midwinter
Let All Mortal Flesh Keep Silent
Lift Up Your Heads Ye Mighty Gates
Like The Dawning
Lo, He Comes With Clouds Descending (Hymn)
Long ago, prophets knew
Lord, Thou Hast Been Our Refuge
Maria Walks Amid The Thorn
Novissima hora est (The Dream of Gerontius)
O Come, Divine Messiah
O come, O come, Emmanuel
O Heavenly Word Eternal Light
O Magnum Magisterium
O Quickly Come, Dread Judge of All
O Radix Jesse
O Word That Goest Forth On High, Plainsong 7th Century Latin
On Jordan's bank the Baptist's cry
People Look East
Praeparate Corda Vestra
Prepare the Way
Regnantem Sempiterna
Rejoice All Ye Believers
Rorate Caeli
Savior Of The Nations, Come
Sleepers, Wake! (Wachet Auf, Ruft Uns Die Stimme )
The Angel Gabriel
The Cherry Tree Carol
The King Shall Come When Morning Dawns
The Lord Will Come And Not Be Slow
There is no rose of such virtue
Thy Kingdom Come O God
Thy Kingdom Come On Bended Knee
Veni Redemptor gentium
Veni Veni Emmanuel (Latin version)
Vox clara ecce intonat
Wake, Awake for Night is Flying
Watchman (Watchman, Tell Us of the Night)
Zion hört die Wächter singen - Choral: "Zion hört die Wächter singen" J.S. Bach: Choral

In The Country of the Blind

Many people, including myself, have called Humanae Vitae a prophetic document. But, as I think about events, I suspect we are all wrong. It is not a prophetic document at all. Let me explain.

Everyone talks about the terrible social lapses caused by contraception. What most people don't realize is that the eugenics movement and its daughter, the contraception movement, were merely steps in an already existing problem. The problem was the demographic transition. The cause, as near as anyone can tell, was the Industrial Revolution and the improvements in housing and medical care that revolution made possible.

The demographic transition, that is, the loss in fertility rate below replacement levels, actually began in the early 1800s. Dropping fertility rates spread from France and England throughout the world, country by country, for the next two centuries right up to the present day. The current baby-bust is not the aberration, the post-war Baby Boom was the aberration.

But, because we all grew up in the post-Baby Boom years, we all think this is a post-1960s problem. It isn't. And, while the Church has never changed her teaching, while the Church has always taught that we should not exploit workers or women, Rerum Novarum, Casti Conubii and Humanae Vitae, were documents that were playing catch-up.  The Church was late in recognizing the nature of the problem in the sense that She was late getting a firm grasp of the cultural shift.

The Luddites understood that the machines were going to create a problem. They misunderstood exactly how. They thought machines would take everyone's jobs and make everyone poor. Instead, the machines took most people's jobs, but made everyone rich. They knew there was a problem, but they didn't understand the problem.

Marx saw it as well - he was wrong in an entirely different way than the Luddites. He thought the machines would allow a small group of people to exploit the workers. It never occurred to him that it would allow that small group of people to simply ignore the workers. Again, he knew there would be a problem, but he didn't accurately predict what the problem would be or how it should be resolved. Indeed, he thought the destruction of the family would be a good thing. He absolutely did not understand that the industrialized destruction of the family was the problem.  The worker-employer relationship was just a symptom. The central problem completely eluded his grasp.

The Church has always taught that people are subjects, not objects, and the larger Christian society had largely understood this, for over a millennia at least, by 1800. What the episcopate took too long figuring out, in re both workers rights' and contraception, was that Christian cultural attitudes towards those two issues were undergoing such a major and rapid shift that encyclicals were required.

Culture had already gone 70 years down that road before we saw Rerum Novarum, 100 years down it for Castii Connubi and 150 for HV. THAT is the sense in which the Church was late to the table.

Not that anyone else was much earlier - we would be hard-pressed to identify someone who pronounced earlier AND correctly, about what was coming. Lots of people pronounced earlier, but they all got something important wrong. Others got the essentials right, but largely by mimicking what the Church had already said.

The problem is precisely in the fact that, by the time the Church had articulated the problem correctly, in a way the culture was likely to understand, the culture had changed to the point that the Church was largely ignored.

In that sense, Rerum Novarum, Castii Conubii and HV were actually not prophetic at all.  They were all three simply descriptive. After all, what those documents described was already well underway - it was just that the Church was the only one who saw it, because She was the only one who was still able to see.

Double Standards: The Church and Science

"Within the next week, two doctors cleared Geoghan for parish duty, according to an archdiocesan chronology that is in court files. It reads: “12/11/84 Dr. [Robert] Mullins - Father Geoghan `fully recovered.’ . . . 12/14/84 Dr. [John H.] Brennan: “no psychiatric contraindications or restrictions to his work as a parish priest.”

But, of course, NO ONE blames the medical profession for being wrong. Instead, everyone tells the Church, "You should NOT have followed SETTLED SCIENCE!"

And the science of the time WAS settled - according to the medical professionals then, they could cure it. They were experts, after all.

So, when the Church questions science, She's wrong, and when the Church accepts science She is wrong. Nice double standard you got there.

Usury and Capitalism (short version)

"Usury", in its simplest meaning, means "to charge for the use of a thing."  But Aquinas points out that the ACTUAL definition of usury is "to sell that which does not exist", i.e., to commit what we would now call "fraud."

In a subsistence-level society, money is functionally identical to consumption. In a surplus-goods society, money is NOT functionally identical to consumption.

Thus, as the monasteries were able to produce local areas of surplus goods, the function of money changed and the definition changed with it.

See Aquinas' commentary here as he explains why you can charge for the use of some things (e.g., you can rent a house), but not for the use of other things (you can't rent food).

Money was originally understood to be very much like food, but over time, the medievals began to realize that surplus food made it possible to think of money more like a house. It was this change in the understanding and use of money which allows one to "build a house of gold", i.e., accumulate capital.

I have a longer gloss here on his commentary which may (or may not) help to understand what he meant.

So, both capitalism and the industrial revolution are the result of Christian philosophy. The Catholic willingness to understand that the definition of money could change, and the affect this change had on the definition of usury was central to the development of capitalism. The Catholic development of experimental science was built off the high regard Catholics have always had for manual labor, and central to the industrial revolution.

Islam never understood the change in the definition of  "money" from the 600s through the 1500 years that followed. Christians, on the other hand, realized that the definition being used in their Scriptures was fundamentally different than how the word was being used even by the end of the first millennium. Thus, you see Aquinas drawing very fine distinctions in the Summa Theologica about what does and does not constitute usury.

Precisely because the definition of "money" changed, the definition of what it meant to "charge interest" also changed, and Aquinas recognized those changes. Usury is still a sin to this day, but Christians don't use the 600s AD broad-based definition still used today by Muslim banks, which inhibits capital formation in Muslim countries.

Instead, Christians recognized the elements of the underlying economy, distinguished them, and pointed out that many uses of this new "money" paradigm didn't actually violate any spiritual principles that had been put in peril under the old definitions.

The change then was almost as profound as the move from gold-based to fiat-based to crypto. Christians recognized, tracked and leveraged these changes without violating the spirit of the Faith. Muslims still haven't figured out that anything is different.

SJWs and the Duty to Defend

The state legitimately defends its citizens against foreign invaders.

The biggest killers in time of war, e.g., invading armies, is not the military action itself, but the disease, malnutrition and exposure to the elements that these invading armies inflict upon the citizens.

So, arguably, when defending its citizens against an invading army the state is not primarily tasked with defending its citizens against a bloodless coup, but against agents that inflict disease, malnutrition and exposure on its citizens.

But, if THAT is true, then the state's duty to defend its citizens should also involve defending its citizens against those deleterious effects regardless of whether an army is invading.

Which means the state has a duty to make sure its citizens are at least somewhat protected against those three things under all circumstances. This means the state has the duty to conduct, say, nation-wide vaccination campaigns to wipe out smallpox and polio, mandate campaigns against vitamin-deficiency and malnutrition (which contribute to disease spread in addition to being threats in their own right).

You see where this is going.

IF we admit, as the Constitution does, that the state has a duty to protect its citizens, THEN arguments about the nation's duty to commit acts of social justice are really just variations on an argument over  where the "defense" line is drawn.

"Green Energy" Kills Black Children

Al Gore, Barack Obama and Elon Musk support killing black children for personal gain.

Follow the bouncing ball:

1. "Green energy", i.e., energy from wind and solar, is unreliable.
2. Because it is unreliable (the sun doesn't always shine, the wind doesn't always blow), any electricity it generates that is not instantly transmitted and used must be stored. 
3. The only way to store that electricity is to put it into a battery.
4. The most efficient batteries use cobalt.
5. Half the world's supply of cobalt is in the Democratic Republic of the Congo.
6. The companies in the DRC use small children to mine the cobalt.
7. Because there is virtually no safety equipment, the children die.

SO, anyone who supports green energy tacitly supports killing small black children to make their money and/or their political point.

Now, Tesla (Elon Musk) has publicly and specifically said he refuses to source cobalt from the DRC.  Oddly enough, it seems Elon Musk is a liar.

"Human rights charity Amnesty International also investigated cobalt mining in the DRC and says that none of the 16 electric vehicle manufacturers they identified have conducted due diligence to the standard defined by the Responsible Cobalt Initiative."

Even if he does eventually succeed in not using DRC cobalt directly (which is highly unlikely, given world cobalt demand), his use of all the other cobalt supplies in the world will drive up the price of DRC cobalt so that DRC's child-mining operations become even MORE profitable than they are now. Supply and demand, and Elon still ends up contributing to the deaths of small black children.

As for Gore and Obama always nattering about "green energy", both seem (as you do), oblivious to the fact that "green energy" REQUIRES battery backup for off-peak power, and those batteries currently REQUIRE cobalt, which is mined by small black children who are worked to incapacity and death.

"Cobalt is up 150% in the last year, but it's likely to see far higher prices due to a severe deficit. According to Macquarie Research, the deficit for the next year will be 885 tonnes. In 2019, that number rises to 3,205, and by 2020, we are looking at a 5,340 tonne supply shortage!"

So, Gore, Obama, and Musk are deliberately blind to the fact that they are essentially advocating the death of small black children. "Green energy" can't avoid killing small black kids until it can avoid using the DRC's cobalt. It can't avoid using the DRC's cobalt until new cobalt-free battery technology comes on-line. That battery technology is not projected to come on-line for years, if ever.

Is Technology Pro-Worker?

Technology gives EVERYONE a better life, 
but EVERYONE has fewer jobs available, 
and HALF the population has dramatically fewer jobs available.
Why?

Tech improves everyone's life. 
Tech destroys old jobs. 
Tech creates new jobs.
Tech creates fewer jobs than it destroys, so there is a net loss of jobs, but a net increase in living standards for everyone. Tech takes the low-hanging job fruit, so it automates the simplest jobs, leaving only complex jobs and, when it creates jobs, creating relatively complex jobs.

In 1800, everyone from age 5 to dead worked 12 hours a day, six days a week.
In the intervening two centuries, we have eliminated jobs for:
• essentially everyone under 18, 
• most people over age 65, 
• anyone going to college (30% of the working population), 
• reduced the number of workdays to five, 
• reduced the number of work hours to 40 
• Obamacare tries to reduce that number to 30.

By the standards of 1800, everyone today job shares. 
So, tech brings very much increased standards of living, greatly reduces the number of jobs, and right-shifts the jobs it DOES create to the right-hand of the bell-curve. While 50% of the general population by definition always has an IQ below 100, the jobs tech creates tends to be best-suited for those in the 100+ IQ curve.

Janitors and 40-year old fast food workers generally cannot retrain as IT network administrators.

So, EVERYONE gets a better life, 
but 
EVERYONE has fewer jobs available 
and 
HALF the population has dramatically fewer jobs available.

Is that pro-worker? 
Depends on how you define it. What happens is fewer to no jobs, but higher standard of living. If that fits your definition of "pro-worker", then it is. Otherwise, it isn't.