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# merjet

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merjet had the most liked content!

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Member

## Previous Fields

• Country
United States
Ohio
• Relationship status
Married
• Biography/Intro
I have several articles published in Objectivity and the Journal of Ayn Rand Studies.
• School or University
University of Illinois
• Occupation
actuary (retired)

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1. ## Math and reality

😊 I must confess that my recollection is not as good as it might seem. My last post was copied from something I wrote a few years ago and then edited a little.
2. ## Math and reality

A few years ago I purchased and listened to Pat Corvini's two sets of lectures on number:1. Two, Three, Four and All That; and 2. Two, Three, Four and All That: The SequelThe main topic is her view of numbers. A lesser topic is criticism of Cantor's claims about infinite sets, and his method, with she calls postulational and contructive. Corvini does not say so, but the postulational/contructive philosophical view is epitomized by the famous mathematician David Hilbert's opinion that the most reliable way to treat mathematics is to regard it not as factual knowledge, but as a purely formal discipline that is abstract, symbolic, and without reference to meaning.Her method focuses on "the what" of numbers, whereas Cantor's methods focuses on "the how" of numbers. She sharply distinguishes between counting -- which use only the positive integers -- and measuring -- whose domain is the real numbers (integers + rationals + irrationals). Cantor's method of one-to-one correspondence blurs the distinction.She talks about Cantor in the 1st and 3rd lectures of The Sequel. The last 1/3rd or so of Sequel #2 and the first half or so of Sequel #3 elaborate her view of measurement. Then she returns to Cantor and the postulational/constructive view of the rational and irrrational numbers. In her view there are two sorts of infinities -- counting (conceptualized by the positive integers) and measuring (conceptualized by real numbers and attained by subdividing). The postulational/constructive method blurs the distinction and treats open-ended construction like a concrete.I much agree with what she says, but believe there are even stronger criticisms of Cantor's nonsense. At one point in Sequel #1, Corvini talks in terms of 2-to-1 correspondence, but not any wider range of multiple-to-1 correspondences. Nor does she utilize part-whole logic to criticize Cantor's nonsense.
3. ## Math and reality

Can you elaborate? Is there an online source for reading more of what she said?

5. ## Correspondence and Coherence blog

Trump’s Health Insurance Changes #2
6. ## Charles Tew

I observed a few minutes of a few videos here. https://www.youtube.com/channel/UC8iOCGZj09rvCXhXeya4vkw My impressions were not favorable. In one video he called the session with Jordan Peterson at OCON 2018 a disaster. I was there, and the audience surely didn't judge it a disaster. His Why Socialism Fails based an an analogy with computers was poor. Hayek's explanation was far better. In another video he talks about mathematics. I don't remember which one. He prefaced his remarks with his not being a mathematician, but what he said about math did not sit well with me. As I recall, he said mathematics is about reality. Yes and no. It is also about our concepts. Show me a matrix, differential equation, integral or complex number in reality that wasn't written by some human being, then I will reconsider.

8. ## Correspondence and Coherence blog

I suspect that our differences would diminish if we discussed this more. For now, I will limit myself to the following. I believe that coercion by government should be severely limited. On the other hand, (1) I don't believe it can realistically be eliminated, and (2) coercion comes in degrees. There are guns, incarceration, regulatory prohibitions which have economic effects, court summons, quarantines, etc. Consider settling disputes, familial or business lawsuits or bankruptcy. The parties to such disputes often don't happily and voluntarily submit to remediation. But in order to protect the rights of the wronged in such cases, government must use some degree of coercion -- such as a court summons -- if the dispute is going to be settled rather than do nothing. The latter could possibly make matters worse.
9. ## Octonions

My second try: The suspicion, harbored by many physicists and mathematicians over the decades but rarely actively pursued, is that a description of the properties exhibited by the peculiar panoply of forces and particles of reality may be so accurately depicted by eight-dimensional numbers called “octonions.”
10. ## Correspondence and Coherence blog

Trump’s Health Insurance Changes
11. ## Octonions

I agree. I think the sentence you partly quoted would be better if it were: The suspicion, harbored by many physicists and mathematicians over the decades but rarely actively pursued, is that the properties of the peculiar panoply of forces and particles that comprise reality spring logically from the properties of eight-dimensional numbers called “octonions.” (my bold).
12. ## Octonions

The Peculiar Math That Could Underlie the Laws of Nature https://www.quantamagazine.org/the-octonion-math-that-could-underpin-physics-20180720/
13. ## Correspondence and Coherence blog

Spheres of Justice #8 Spheres of Justice #9
14. ## Article and recent book about Ayn Rand

Ayn Rand's Legacy of Unifying Social Cruelty https://truthout.org/articles/ayn-rands-legacy-of-unifying-social-cruelty/ I suggest also clicking on the link within "she advocated a cartoon fantasy of economic "freedom"” about half-way through the article. The book is Mean Girl: Ayn Rand and the Culture of Greed. I haven't read the book, but it's likely a screed like the article.
15. ## Reblogged:William Whewell's "Discoverer's Induction" (Part 2)

Are you familiar with this? http://www.johnmccaskey.com/induction-and-concepts-in-bacon-and-whewell/
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