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Vor 23 Stunden · Paul Halmos introduced the notation for the end of proofs, inspired by end marks in (non-maths) magazines, in the 1950s—and lots of people still call it the ‘halmos’. Honestly, I’d be on board with anything he has to say about writing and typesetting maths. And as I keep telling my fellow Chalkdust editors, I think the more we can do to ...
9. Mai 2024 · PAUL HALMOS Celebrating 50 Years of Mathematics. William H. Gustafson. 593 Accesses. Abstract. In 1974, A. Sampson [16] gave a rather technical matrix-theoretic proof that any complex matrix of determinant ±1 can be written as a product of finitely many involutions.
- William H. Gustafson
- 1991
27. Apr. 2024 · From a different direction, Paul Halmos provided a classic style guide for mathematics and discussed both imperatives in maths and the use of the first-person plural “we.” Regarding imperatives, he said: “A frequently effective and time-saving device is the use of the imperative. ‘To find P, multiply q by r.’ ‘Given p, put q equal to r.’ ” (Halmos
27. Apr. 2024 · Paul Halmos is cited as remarking that “The present proof relies in effect on an Oracle, and I say down with Oracles! They are not mathematics’” (Mackenzie 2001 , 102).
Vor 5 Tagen · It is not lying to say that mortality rate was halved, but it would be entirely misleading; and as Paul Halmos pointed out, lying is quite permissible [we call them “white lies”] provided one doesn’t mislead [2]. Spurious accuracy. Everyone ought to have been taught, in the most rudimentary math classes, the meaning of ...
Vor 3 Tagen · First-order logic is the standard for the formalization of mathematics into axioms, and is studied in the foundations of mathematics. Peano arithmetic and Zermelo–Fraenkel set theory are axiomatizations of number theory and set theory, respectively, into first-order logic.
27. Apr. 2024 · Paul Halmos - Naive Set Theory. Exercises from sections 3-5. Manuel del Rio. Apr 27, 2024. I am generally wary of reading two math textbooks at once, as they require such an amount of concentration that even with one I only progress at snail’s pace (especially if I insist on doing all the exercises). I have decided to risk it with Paul Halmos ...
