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  1. 9. Mai 2024 · PAUL HALMOS Celebrating 50 Years of Mathematics. William H. Gustafson. 595 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
  2. 20. Mai 2024 · Paul Halmos introduced the $\square$ 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.

  3. Vor 4 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.

  4. Vor 3 Tagen · Paul Erdős (1913–1996) was a Hungarian mathematician. He considered mathematics to be a social activity and often collaborated on his papers, having 511 joint authors, many of whom also have their own collaborators. The Erdős number measures the "collaborative distance" between an author and Erdős.

  5. Vor 2 Tagen · Paul Halmos - Naive Set Theory. booksandnotes.substack.com. Copy link. Facebook. Email. Note. Other. Paul Halmos - Naive Set Theory Exercises from sections 9-11. Manuel del Rio . Jun 04, 2024. Share this post. Paul Halmos - Naive Set Theo ...

  6. en.wikipedia.org › wiki › Type_theoryType theory - Wikipedia

    Vor 4 Tagen · [a] Type theory is the academic study of type systems. Some type theories serve as alternatives to set theory as a foundation of mathematics. Two influential type theories that have been proposed as foundations are: Typed λ-calculus of Alonzo Church. Intuitionistic type theory of Per Martin-Löf.

  7. epsilonjourney.wordpress.com › 2024/05/23 › initial-pointInitial Point – Epsilon

    23. Mai 2024 · So over this period of two months, I’m going to try to continue reading “Naive Set Theory” by Paul Halmos and maybe a book on proof writing. Linear algebra is one branch which interests me, I plan on trying that too, just a little bit of the top. So yeah nothing too complicated, step by step, and we’ll see where it goes.