Peano Axioms 1.1. Introduction to Peano Axioms. Foundations of Natural Numbers

In this video, we are going to talk about the foundations for natural numbers - Peano Axioms.

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Please watch: "Real Projective Space, n=1"
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[NewCalculus]

How we got numbers:


Peano's Crap-axioms:


Most important mathematics book ever written:

[Absilicon]

Will you show us how the axioms allow us to construct the natural numbers?

[nikstopics]

Peano Axioms demonstrate how the simplest mathematical ideas can be made more rigorous.

[copperfield]

it always annoy me that the mathematician does't make their mind with the natural numbers, that they start at 1 or that they start at 0...
those axiom can be stated with "0" instead of "1" and would be the same...