For nearly ten years, I've had a phrase bouncing around in my head. I truly want to write a paper (or novel or play) with this title:
A Definition in Search of a Theorem
(Yes, this is a nonoblique reference to Luigi Pirandello's play Six Characters in Search of an Author)
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One of those days where I really want to accept cookies, but not the website kind.
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Starting my lecture notes for today with a parenthetical remark
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Someone recently asked me about my ontological commitments and I said I didn't think such things existed. They didn't get it.
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Difficult to focus on work today. I wonder why.
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I love the phrase "lazy evaluation" in programming language theory. To me it sounds like what you normally do when you grade quizzes and homework.
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Should I talk about skeletons in tomorrow's category theory class? It is, after all, the correct date for it.
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Since Pythagorean stuff is appearing again in the popular press, let me once more recommend The Pythagorean Proposition by Elisha S. Loomis (1852-1940). Depending on how they are counted, the book has about 360 proofs of the theorem. (I will not address the issue of how different they actually are.) It's not a book anyone would read front to back, but it's a lot of fun to flip through. A legal e-copy of the 1968 reprinting of the 1940 second edition can be found at the Education Resources Information Center of the US Department of Education:
https://files.eric.ed.gov/fulltext/ED037335.pdf
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Me doing research today
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"A good mathematical puzzle, paradox, or magic trick can stimulate a child's imagination much faster than a practical application (especially if the application is remote from the child's experience), and if the 'game' is chosen carefully it can lead almost effortlessly into significant mathematical ideas." -- Martin Gardner (1979)
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Oh sure, everyone celebrates when a new largest prime number is announced, but when I announce I've found a new smallest prime number, people say things like "please get out of my office" and "how were you ever given tenure?"
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The proof of the pudding is left to the eater.
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I just accidentally typed "snurjective" and now I very much want it to be a mathematical word.
"Snur" was a synonym for "snort", used by the turn-of-the-15th-to-16th-century English poet John Skelton:
https://www.oed.com/dictionary/snur_v
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Enriched categories are those with diversified portfolios of hom-sets, they didn't just dump all their morphisms into crypto.
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A mathematician uses first person plural in proofs to suggest to the reader that they are on a journey together. This is not dissimilar to Virgil guiding Dante through the Inferno.
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"Free your mind" is left adjoint to "Forget I said anything"
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My category theory class meets in the afternoons on Tuesdays and Thursdays, or as the class has decided, Tuesdays and coTuesdays.
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I still think skeuomorphism should have a mathematical meaning
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Enjoying the lunar eclipse. Of course, I'm not looking directly at the moon, that's bad for your eyes.
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