In the fundamentals (at the very core if you like) of mathematics,

>>9167945
https://en.m.wikipedia.org/wiki/Transcendental_function

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If you define natural numbers using axiomatic set theory, then not only does 1+1 equal 2, but you can further break that "2" into a bunch nested of sets.

>>9167945
Pshhh, sure, if you only wanna live in the rational numbers.

Good luck defining pi or 2^.5 with just the four basic operations, and no limits or whatnot

>>9167970
God I hate her annoying face. Roasties

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>>9168032
Shut your fucking mouth or I ask my moderator brother to ban you. Koreans are top-tier qts.

>>9167945
Parenthesis, or if you prefer, brackets. They literally cause people to invent imaginary math.
For example, if I do 1+(1), someone is going to insist the answer is 1.

>>9167945
in abstract algebra you can define structures with operations that may or may not have anything to do with those 4

>>9167945
>>9168030
I guess with those 4 operations and exponentiation, you can achieve all the algebraic numbers. But the amount of algebraic numbers compared to transcendental is literally infinitely smaller.

>>9167945
Yes, HTT, category theory or set theory are all "more fundamental", but much less intuitive.

The basic number sytems and operations all have real-world examples making them more suited to teach to children.

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>>9167945
I hate these threads where OP comes along and asks a dumb question, then doesn't even bother to check up on it. Like at least indicate that some of this is getting through your thick skull.

>>9168463
Whats htt? Nothing show up when I google it.

>>9168724
Homotopy type theory

>>9167945
pretty sure multiplication and division boil down to addition and subtraction

https://en.wikipedia.org/wiki/Chunking_(division)
https://en.wikipedia.org/wiki/Grid_method_multiplication

>>9168745
Not really. How do you use those definitions to calculate:

[math]e \sqrt{2} [/math]