/sci/ - Science & Math » Thread #13992315

764B, 225x225, 1.png

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Anonymous Tue 21 Dec 18:35:51 2021 No.13992315 View Reply Original Report

Quoted By: >>13992344 >>13992350 >>13992352 >>13992472 >>13992513 >>13992533 >>13993013 >>13993267 >>13993545 >>13993553

What is 1?
Prove it.

Anonymous

Anonymous Tue 21 Dec 2021 18:43:03 No.13992344 Report

Quoted By:

>>13992315
It's right in your image retard

Anonymous

Anonymous Tue 21 Dec 2021 18:44:19 No.13992350 Report

Quoted By:

>>13992315
The loneliest number.

Anonymous

Anonymous Tue 21 Dec 2021 18:44:33 No.13992352 Report

Quoted By: >>13992378

>>13992315
1 is just the unique element such that $1 \cdot e = e$ . Proof... maybe:

Suppose there exists another element with the same property: $1' \cdot e = e$ then $1 \cdot e = e = 1' \cdot e \\ \implies 1 \cdot e = 1' \cdot e \\ \implies 1 = 1'$
For a suitable choice of axioms.

Anonymous

Anonymous Tue 21 Dec 2021 18:44:37 No.13992353 Report

Quoted By:

1 = 1, simple as

Anonymous

Anonymous Tue 21 Dec 2021 18:48:11 No.13992378 Report

Quoted By:

>>13992352
succinct

Anonymous

Anonymous Tue 21 Dec 2021 19:12:54 No.13992472 Report

Quoted By:

>>13992315
identity for product

Anonymous

Anonymous Tue 21 Dec 2021 19:19:42 No.13992513 Report

Quoted By:

>>13992315
In a ring (R, +, ×) 1 is the element of R for which 1×x = x×1 = x for every x in R.
Proof.
1 is the element of R for which 1×x = x×1 = x for every x in R, by definition.

Anonymous

Anonymous Tue 21 Dec 2021 19:25:57 No.13992533 Report

Quoted By: >>13992537

>>13992315
An asbtraction in your head. Proof: every attempt ITT.

Anonymous

Anonymous Tue 21 Dec 2021 19:27:06 No.13992537 Report

Quoted By:

>>13992533
dayum, psychologists be trowing mad shade rn

Anonymous

Anonymous Tue 21 Dec 2021 19:59:27 No.13992658 Report

Quoted By:

1 is defined such that 1 * x = x, where x is any value.

Anonymous

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Anonymous Tue 21 Dec 2021 21:48:28 No.13993013 Report

Quoted By:

>>13992315
A subject.
>proof
We talk about it.

Anonymous

Anonymous Tue 21 Dec 2021 23:00:27 No.13993267 Report

Quoted By:

>>13992315
It's the identity of multiplication.
Anything times 1 = itself

Anonymous

Anonymous Wed 22 Dec 2021 00:25:47 No.13993545 Report

Quoted By:

>>13992315
.999...

x = 0.999...
10x = 9.999...
9x = 9.000
x = 1

Anonymous

Anonymous Wed 22 Dec 2021 00:29:22 No.13993553 Report

Quoted By: >>13993594

>>13992315
Congratulations on your thread demonstrating an example of the sort of pathological navel gazing infecting and impeding the sciences.

Anonymous

Anonymous Wed 22 Dec 2021 00:47:38 No.13993590 Report

Quoted By:

1 is the multiplicative identify. This is an axiom and is true by definition.

Anonymous

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Anonymous Wed 22 Dec 2021 00:50:03 No.13993594 Report

Quoted By:

>>13993553
>Congratulations on your thread demonstrating an example of the sort of pathological navel gazing infecting and impeding the sciences.

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