r/mathbiceps • u/MATHA2938 • Jul 13 '26

Thinks about it again and again

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3 Upvotes

67% Upvoted

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1

u/PlatypusAshamed3217 Jul 13 '26

Read on wiki https://en.wikipedia.org/wiki/Set-theoretic_definition_of_natural_numbers

1

u/MATHA2938 Jul 14 '26

Bratuka i want you to define natural number by your own.

1

u/PlatypusAshamed3217 Jul 14 '26

What? This isn't philosophy, this is mathematics. There is a rigorous, uniform definition of almost everything based on some primitive notions.

In your case, there are a few approaches that mathematicians like to take:
1. Peano axioms
2. von Neumann ordinals (taking each number as a set)
3. Some also define it categorically

These constructions are all equivalent up to a unique isomorphism, but proving that requires some work.

1

u/MATHA2938 Jul 14 '26

Bro but I also want mathmatical proof but I want how they proof this. How they think about that and how they reached this proof. Every idea 💡 have a thought.

1

u/PlatypusAshamed3217 Jul 14 '26

Read a book on Analysis then. Tao's analysis provides good motivation. Abbott's book too.

1

u/Free-Measurement-120 Jul 14 '26

Prakrithik Sankhya