Cycle 15 · 8 Oct 2026Nature vs. freedom?- 23:48His few axioms suffice to found, with full rigor, the theory of the natural whole numbers.
Peano
Appears in 3 videos · 3 passages, 2 of them in depth.
Who is this?Giuseppe Peano (; Italian:; 27 August 1858 – 20 April 1932) was an Italian mathematician and glottologist. The author of over 200 books and papers, he was a founder of mathematical logic and set theory, to which he contributed much notation, for instance, notations of set operations. The standard axiomatization of the natural numbers is named the Peano axioms in his honor. As part of this effort, he made key contributions to the modern rigorous and systematic treatment of the method of mathematical induction. He spent most of his career teaching mathematics at the University of Turin. […]
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Cycle 15 · 8 Oct 2026Nature vs. freedom?
Cycle 1 · 14 Sept 2015#1.3 Between crisis and war: philosophising?- 43:23The theory of numbers rests on his five axioms: zero is a number, every number has a successor…
Talks · 14 Jul 2022From Plato to world revolution- 26:44Formally founded the theory of natural integers on five axioms.