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Different Perspectives of Numbers: layman vs mathman

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Saving this post just to see the dumpster fire in the comments over the number theory remark
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_harmonic anal_
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I'm surprised you say topologists don't need more than the natural numbers. \mathbb{R} and [0,1] are two of the most importabt topological spaces. How do you find an n-dimensional manifold without reference to \mathbb{R}^n?
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Differential geometry:

0 means I've just applied Stokes' theorem.

1 I don't care about.

2 is useful.

2pi means I'm making something an integer.

3 and 4 are cool, but 4 is too hard.

1/n! means I've messed up a summation convention or computed a volume.

No other numbers exist.
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Some things you‘re saying are just utterly wrong.
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I too search for counterexamples to the CH. That dang independence result usually gets in the way, however...
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(Some) applied mathematicians: the only numbers are floating point numbers
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Category theorists: scared of numbers
by
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**Number Theory**

Numbers? Oh, you mean the most complicated and intricate geometric landscape in the entirety of math?

---

Also,

>The set theorist is probably the first person to come to mind when thinking about numbers.

Out of everything even in the "Number Theory" portion, this is the most triggering.
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We also use Z to index the homotopy groups in stable homotopy theory

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