prior probability

I will be taking a brief hiatus from blogging today and tomorrow, but I will soon resume my blogging duties by turning my attention to the hit show Better Call Saul. (Pictured below is the poster for Season 6 of Better Call Saul, the final season, which is scheduled to air sometime in 2022.) Specifically, I will explore the problem of illicit or wicked promises and what moral weight, if any, we should assign to these types of promises.

The government is once again “postponing” the release of the next batch of JFK assassination records. For your reference, here is the official announcement.

What if we replaced all of Alabama and Mississippi as well as most of Georgia and parts of Tennessee with “Greater Florida”? And what if, instead of sleepy Tallahassee, we made St Augustine, Florida’s oldest city, the capital of this new mega-state?

All great college courses are based on thought-provoking questions. This syllabus asks the most important question of all. (Source: University of Florida.)

Via Kottke: “The Simpsons Library Instagram account has been documenting all of the books, magazines, and other printed matter that has appeared on the long-running sitcom.”

That is the title of my research poster on the law and ethics of Chegg, which I will be presenting at the Florida Statewide Symposium on Best Practices in Undergraduate Research this weekend. (This year, the symposium will take place at the University of Florida in Gainesville; more details about this annual symposium are available here.) Reduced to a screenshot, my massive poster will look like this — click on the image for a better-quality resolution:

Thanks to the careful work of Sarah Skwire, especially her beautiful draft paper “As If: Clueless about the Invisible Hand”, we have seen how people often add the words “as if” to Adam Smith’s original formulation of the invisible hand metaphor, and we have traced the source of this error back to Paul Samuelson’s 1948 textbook on economics, but why does this “as if” error matter?

Simply put, this seemingly-innocent error matters because adding the words “as if” to Smith’s passage changes the entire tenor and meaning of the invisible hand metaphor, or in Skwire’s own words: “when ‘as if’ is added to ‘led by an invisible hand,’ it changes the rhetorical figure from a metaphor to something else.” To be more precise, the phrase “as if” converts Smith’s invisible hand metaphor into a conditional or counter-factual statement.

Why is this problematic? Because a counter-factual statement, by definition, consists of a conditional claim with the following logical structure: “if p were true, then q would be true.” (See generally B. K. Milmed, “Counterfactual Statements and Logical Modality,” Mind, Vol. 66, No. 264 (1957), pp. 453-470, available here.) That is, logically speaking, when when say “if p were true, then q would be true” what we really are saying is that both the antecedent (p) and the consequent (q) are false. As a result, the phrase “as if” injects doubt and uncertainty into the sentence into which these words are added.

To see this, compare Paul Samuelson’s formulation of the invisible hand theory with Adam Smith’s original formulation:

A. What Paul Samuelson thinks Adam Smith said: “[Smith] proclaimed the mystical principle of the ‘invisible hand’: that each individual in pursuing his own selfish good was led, as if by an invisible hand, to achieve the best good of all ….”

B. What Adam Smith really said: “… by directing [our] industry in such a manner as its produce maybe of the greatest value, [we] intend[] only [our] own gain; and [we are] in this, as in many other cases, led by an invisible hand to promote an end which was no part of [our] intention.” [Note to my Millennial & Gen-Z readers — you win: I have changed Smith’s pronouns from “he/his” to “we/our”.]

Do you see the difference in tone and meaning? What Samuelson is basically saying is that Smith’s “invisible hand” is bullshit. Of course, maybe Samuelson is right; maybe the economy is not always guided by Smith’s Panglossian invisible hand, but that is definitely not what the great Adam Smith himself is saying. Instead, Smith is using the idea of a harmonious invisible hand as a metaphor, not as a counter-factual. For Smith, the paradox of people “intending only their own gain” (to paraphrase Smith) and yet producing good outcomes in the aggregate is real.

Now, walk into your local market or grocery store and look around … Isn’t Smith right?

In my previous post, I took the liberty of cutting-and-pasting the introduction of Sarah Skwire’s beautiful draft paper “As If: Clueless About the Invisible Hand.” In brief, Adam Smith’s invisible hand metaphor is probably the most well-known and popular idea in all of economics, and as Dr Skwire notes, most people often restate Smith’s famous metaphor in the following terms:

“Each individual, in pursuing his own good, is led as if by an invisible hand to increase the welfare of others.”

The problem is that the great Adam Smith never used the words “as if” in the original formulation of his invisible hand metaphor! In fact, according to Dr Skwire, it was none other than Paul Samuelson who first put the words “as if” into Smith’s mouth, so to speak. Specifically, on page 36 of the original 1948 edition of his textbook (pictured below), Professor Samuelson (as quoted on page 2 of Skwire’s draft paper; emphasis added) formulates Smith’s invisible hand idea in the following terms:

“Even Adam Smith, the canny Scot whose monumental book, ‘The Wealth of Nations’ (1776), represents the beginning of modern economics or political economy — even he was so thrilled by the recognition of an order in the economic system that he proclaimed the mystical principle of the ‘invisible hand’: that each individual in pursuing his own selfish good was led, as if by an invisible hand, to achieve the best good of all, so that any interference with free competition by government was almost certain to be injurious.”

Samuelson’s popular textbook went through multiple editions — all of them with the words “as if” grafted onto Smith’s invisible hand metaphor — and was highly influential, for it was used to teach economics to several generations of Anglophone students. Okay, so what? Now that we have identified our main culprit, why is this misstatement of Smith’s invisible hand theorem such a problem? I will address this next question in my next blog post …

Moving on, the third of my three favorite talks at this year’s International Adam Smith Society (IASS) meeting was Sarah Skwire’s Saturday morning presentation (10/16/21) titled “As If: Clueless About the Invisible Hand“; in fact, I loved Dr Skwire’s beautiful paper so much that (starting tomorrow) I am going to devote my next few blog posts to it. For now, however, check out the introduction to Skwire’s IASS talk, which I am posting below (I have added a picture of Dr Skwire):