/sci/ - Science & Math » Thread #13827096

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Undergrad Brainlet Here

Anonymous Sun 07 Nov 00:15:41 2021 No.13827096 View Reply Original Report

Quoted By: >>13827101 >>13827105 >>13827108 >>13827261 >>13827277 >>13827302 >>13827324 >>13827330 >>13827744 >>13830006 >>13830982

Redpill me on the real numbers

Anonymous

Anonymous Sun 07 Nov 2021 00:18:19 No.13827101 Report

Quoted By: >>13827384

>>13827096
At the end of spivaks book theres a constructions of the real numbers
Judge it yourself

Anonymous

Anonymous Sun 07 Nov 2021 00:18:52 No.13827105 Report

Quoted By:

>>13827096
muh dick, nigga.
ooga booga

Anonymous

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Anonymous Sun 07 Nov 2021 00:19:35 No.13827108 Report

Quoted By: >>13827324

>>13827096
>Redpill me
GTFO pill-popping /pol/itard

Anonymous

Anonymous Sun 07 Nov 2021 00:27:48 No.13827127 Report

Quoted By: >>13827135

"Points on a line" is really all you need to know if you're an undergrad.

Anonymous

Anonymous Sun 07 Nov 2021 00:30:51 No.13827135 Report

Quoted By:

>>13827127
Only if you're majoring in a shitty uni. Even in the third world we're expected to learn some level of depth knowledge on the metric and topological properties of the real line.

Anonymous

Anonymous Sun 07 Nov 2021 01:13:13 No.13827210 Report

Quoted By: >>13829767

What kind of fucking request is this ?

Anonymous

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Anonymous Sun 07 Nov 2021 01:41:18 No.13827261 Report

Quoted By:

>>13827096

Anonymous

Anonymous Sun 07 Nov 2021 01:44:25 No.13827264 Report

Quoted By: >>13827270

they're not real and they're not numbers.

Anonymous

Anonymous Sun 07 Nov 2021 01:48:22 No.13827270 Report

Quoted By: >>13827276

>>13827264
a specker sequence isn't a number, but pi sure is.

Anonymous

Anonymous Sun 07 Nov 2021 01:52:10 No.13827276 Report

Quoted By: >>13827282

>>13827270
wrong

Anonymous

Anonymous Sun 07 Nov 2021 01:52:57 No.13827277 Report

Quoted By: >>13827376 >>13828378 >>13832001

>>13827096
You can't prove 1=.999..., only define an equivalence relation.

Anonymous

Anonymous Sun 07 Nov 2021 01:55:17 No.13827282 Report

Quoted By: >>13827379

>>13827276
says you and what army

El Arcón

El Arcón Sun 07 Nov 2021 02:06:10 No.13827302 Report

Quoted By:

>>13827096
>Redpill me on the real numbers

Fractional Distance: The Topology of the Real Number Line with Applications to the Riemann Hypothesis
https://vixra.org/abs/1906.0237
Recent analysis has uncovered a broad swath of rarely considered real numbers called real numbers in the neighborhood of infinity. Here we extend the catalog of the rudimentary analytical properties of all real numbers by defining a set of fractional distance functions on the real number line and studying their behavior. The main results of are (1) to prove with modest axioms that some real numbers are greater than any natural number, (2) to develop a technique for taking a limit at infinity via the ordinary Cauchy definition reliant on the classical epsilon-delta formalism, and (3) to demonstrate an infinite number of non-trivial zeros of the Riemann zeta function in the neighborhood of infinity. We define numbers in the neighborhood of infinity as Cartesian products of Cauchy equivalence classes of rationals. We axiomatize the arithmetic of such numbers, prove all the operations are well-defined, and then make comparisons to the similar axioms of a complete ordered field. After developing the many underling foundations, we present a basis for a topology.

Anonymous

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Anonymous Sun 07 Nov 2021 02:19:01 No.13827324 Report

Quoted By: >>13829762

>>13827096
The unique Dedekind-complete ordered field.
>>13827108
Seething redditard.

Anonymous

Anonymous Sun 07 Nov 2021 02:20:38 No.13827330 Report

Quoted By: >>13830975

>>13827096
Complete ordered field.
Completeness of the rationals
Extension field for finding solutions for polynomials with rational coefficients,
etc.

Anonymous

Anonymous Sun 07 Nov 2021 02:40:15 No.13827376 Report

Quoted By:

>>13827277
It depends. If you define an infinite decimal a1.a2a3a4... to be the limit of the sequence (a1, a1.a2, a1.a2a3, a1.a2a3a4, ...), then you can prove that 0.999... = 1.

Anonymous

Anonymous Sun 07 Nov 2021 02:41:19 No.13827379 Report

Quoted By: >>13827449

>>13827282
i'll pit my countably finite army against your uncountable army. let's see who wins.

Anonymous

Anonymous Sun 07 Nov 2021 02:46:19 No.13827384 Report

Quoted By:

>>13827101
at the start of baby rudin they ate defined with no pre-requisite knowledge of anything.
you can find a copy of introduction tonmathematical analysis for like $10 online. That is like one pizza. you can't skip pizza for a weekend, eat a ham sandwich, and buy a copy of baby rudin?
if you really can't, Google "principles of mathematical analysis pdf" it is the first result.

Anonymous

Anonymous Sun 07 Nov 2021 03:28:53 No.13827449 Report

Quoted By: >>13827453

>>13827379
>uncountable
not so fast there tiger, pi is part of the countables

Anonymous

Anonymous Sun 07 Nov 2021 03:29:48 No.13827453 Report

Quoted By: >>13827465

>>13827449
>set of something that doesn't exist is countable
>>>/x/

Anonymous

Anonymous Sun 07 Nov 2021 03:36:01 No.13827465 Report

Quoted By:

>>13827453
>computable numbers aren't countable
is that all you got?

Anonymous

Anonymous Sun 07 Nov 2021 03:42:27 No.13827473 Report

Quoted By:

A valuable abstraction. Heresy.

Anonymous

Anonymous Sun 07 Nov 2021 05:00:24 No.13827744 Report

Quoted By: >>13827759

>>13827096
They don't exist. Only rational approximations. Real numbers are pretty in concept though.

Anonymous

Anonymous Sun 07 Nov 2021 05:07:47 No.13827759 Report

Quoted By:

>>13827744
almost all of them don't exist but pi sure does.

Anonymous

Anonymous Sun 07 Nov 2021 12:00:08 No.13828264 Report

Quoted By:

They don't really exist. The computable numbers are the real numbers.

Anonymous

Anonymous Sun 07 Nov 2021 13:29:55 No.13828378 Report

Quoted By:

>>13827277
>equality of equivalence classes is not an equality

Anonymous

Anonymous Sun 07 Nov 2021 20:30:53 No.13829335 Report

Quoted By: >>13832959

There are more real numbers between 0 and 1 than all the natural numbers.

Anonymous

Anonymous Sun 07 Nov 2021 20:38:14 No.13829350 Report

Quoted By:

I'm sort of bored with the reals, what kind of numbers can get us to $\aleph_{2}$
Is it possible to describe and prove such a thing?

Anonymous

Anonymous Sun 07 Nov 2021 22:53:38 No.13829762 Report

Quoted By:

>>13827324
>Seething
babby lern'd a new werd

Anonymous

Anonymous Sun 07 Nov 2021 22:55:25 No.13829767 Report

Quoted By:

>>13827210
It's a /pol/itard's "redpill" request.

Anonymous

Anonymous Mon 08 Nov 2021 00:24:26 No.13830006 Report

Quoted By: >>13830115 >>13830987

>>13827096
There is no such thing. If it is not commensurable, it is not a number

Anonymous

Anonymous Mon 08 Nov 2021 00:58:40 No.13830115 Report

Quoted By: >>13832682

>>13830006
>mogged by {?,2?}

Anonymous

Anonymous Mon 08 Nov 2021 06:20:28 No.13830975 Report

Quoted By:

>>13827330
>Extension field for finding solutions for polynomials with rational coefficients,
not all of them have real solutions

Anonymous

Anonymous Mon 08 Nov 2021 06:23:21 No.13830982 Report

Quoted By:

>>13827096
They are hitomi dependent of a rational algorithm. Or concise: They are Hitomi rationals.
Cope Theorist are now allowed to begin seething.

Anonymous

Anonymous Mon 08 Nov 2021 06:27:41 No.13830987 Report

Quoted By:

>>13830006
Guys, seriously. It's over wildberger bros. If Enoch was able to validate the reals with his schizophrenia then you fucking KNOW it's over for anti-realists. Yes he inherently disagrees with the common professed definition of reals, but it's still defended because we know the idea of reals must exist.

Anonymous

Anonymous Mon 08 Nov 2021 15:41:14 No.13832001 Report

Quoted By:

>>13827277
>You can't prove 1=.999..., only define an equivalence relation.
That's the equivalence relation that defines the real numbers, schizo

Anonymous

Anonymous Mon 08 Nov 2021 20:14:14 No.13832682 Report

Quoted By: >>13832720

>>13830115
neither element of that set is a number

Anonymous

Anonymous Mon 08 Nov 2021 20:25:10 No.13832720 Report

Quoted By: >>13832747

>>13832682
prove it

Anonymous

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Anonymous Mon 08 Nov 2021 20:35:27 No.13832747 Report

Quoted By: >>13832760

>>13832720
You cannot, that's the joke moron. Irrationals are not "of number", if they were...you would have quantified them by now.

Anonymous

Anonymous Mon 08 Nov 2021 20:41:00 No.13832760 Report

Quoted By: >>13832780

>>13832747
we can shit out any digit of pi you want by spigot, making it more of a number than almost any random rational

Anonymous

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Anonymous Mon 08 Nov 2021 20:46:34 No.13832780 Report

Quoted By: >>13832787

>>13832760
You can indeed shit out what you don't actually know and be forced to once again leave a placeholder expression claiming to represent a "quantity". However, it's only going to signifies how stubborn a quantifier can be.
>making it more of a number
See? A fucking stump. Digging yourself deeper only to eventually rot out faster. It's "not a number", which is why you cope to "make it one" so that you can go applying more math to it. Because otherwise...what else would you do with your math?

Anonymous

Anonymous Mon 08 Nov 2021 20:48:21 No.13832787 Report

Quoted By: >>13832805

>>13832780
still more of a number than ~100% of all rationals, cope

Anonymous

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Anonymous Mon 08 Nov 2021 20:54:38 No.13832805 Report

Quoted By: >>13833056

>>13832787
"No"

Anonymous

Anonymous Mon 08 Nov 2021 21:34:22 No.13832959 Report

Quoted By:

>>13829335
There don't have to be, depending on your axioms.

Anonymous

Anonymous Mon 08 Nov 2021 21:53:13 No.13833056 Report

Quoted By:

>>13832805
wtf I didn't know Plato was based.

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