/sci/ - Science & Math

Name a number on R between .999... and 1.
You can't.
Therefore .999... = 1

>>11473744
Limits, motherfucker.

>if there are no numbers between one number and another, then they are the same number
Prove it.

Their nominal difference is analogous, i.e. of their own natural consequence, because they are different. For practical calculation, the answers of which are always a finite representation of numbers, .999 does equal 1, but in reality, not really. It's like your tiny brains just can't grasp the concept of infinitely-repeating digits, so if close enough, they must equal the next number up. Plus you've been shown little tricks on numberphile that just assume something like necessarily, infinity - infinity = 0, and you think you've become smarter for accepting this knowledge without question.

Show me one (1) proof that .999... = 1 that doesn't just presuppose one infinity eliminates another, i.e. that necessarily, infinity - infinity = 0. If you can't or won't, then show me proof that necessarily, infinity - infinity = 0.

The problem is, brainlets think the underlying axioms of math are, well, mathematical. They're not. They're metaphysical inductions, and for something that I can't take a priori, I'm not just naively going to believe some lowly math professor or youtuber if they were to imply something like infinities, unless shown otherwise, are all the "same" size.

Side note: I wonder if said or similar proofs or tricks would work in a base-11 number system?

pic related
>what is a asymptote

They're nominally different because they are different. For practical calculation, the answers of which are always a finite representation of numbers, .999 does equal 1, but in reality, not really. It's like your tiny brains just can't grasp the concept of infinitely-repeating digits, so if close enough, they must equal the next number up. Plus you've been shown little tricks on numberphile that just assume something like necessarily, infinity - infinity = 0, and you think you've become smarter for accepting this knowledge without question.

Show me one (1) proof that .999... = 1 that doesn't just presuppose one infinity eliminates another, i.e. that necessarily, infinity - infinity = 0. If you can't or won't, then show me proof that necessarily, infinity - infinity = 0.

The problem is, brainlets think the underlying axioms of math are, well, mathematical. They're not. They're metaphysical inductions, and for something that I can't take a priori, I'm not just naively going to believe some lowly math professor or youtuber if they were to imply something like infinities, unless shown otherwise, are all the "same" size.

Side note: I wonder if said or similar proofs or tricks would work in a base-11 number system?

They're nominally different because they are different. For practical calculation, the answers of which are always a finite representation of numbers, .999 does equal 1, but in reality, not really. It's like your tiny brains just can't grasp the concept of infinitely-repeating digits, so if close enough, it must equal the next number up. Plus you've been shown little tricks on numberphile that just assume something like necessarily, infinity - infinity = 0, and you think you've become smarter for accepting this knowledge without question.

Show me one (1) proof that .999... = 1 that doesn't just presuppose one infinity eliminates another, i.e. that necessarily, infinity - infinity = 0. If you can't or won't, then show me proof that necessarily, infinity - infinity = 0.

The problem is, brainlets think the underlying axioms of math are, well, mathematical. They're not. They're metaphysical inductions, and for something that I can't take a priori, I'm not just naively going to believe some lowly math professor or youtuber if they were to imply something like infinities, unless shown otherwise, are all the "same" size.

Side note: I wonder if said or similar proofs or tricks would work in a base-11 number system?

pic related
>what is a asymptote