Cycle 15 · 8 Oct 2026Nature vs. freedom?- 23:48Peano's axioms suffice to found the infinite set of natural numbers: the power of mathematics comes from a minimum of propositions at the outset.
Axiom
Worked through in 4 videos · 4 passages.
Cycle 15 · 8 Oct 2026Nature vs. freedom?
Talks · 14 Jul 2022From Plato to world revolution- 26:23First propositions, undemonstrated, few in number, from which everything else is derived; Euclid calls them demands.
Cycle 9.2 · 28 Apr 2021#9.20 From signal to sign: Einstein- 1:06:39Undemonstrated propositions on which one must agree; mathematical rigor rests on a relation between subjects, not on an object.
Talks · 8 Aug 2015Mythology and truth- 10:47Euclid calls the first notions "postulates": one is no longer in a relation to the thing, but in a relation to the other.