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Real numbers appreciation thread Anonymous Fri Jul 1 20:49:00 2022 No.14618571 [Reply] [Original]

In this thread we will appreciate the uncountably infinite set of real numbers, formalized not more than roughly 200 years ago while informally used for centuries and still holding strong to this date. Real numbers have revolutionized early calculus, are the fundament of modern analysis and are involved in nearly all areas of mathematics.

>>	Anonymous Fri Jul 1 20:50:22 2022 No.14618574 nested intervals is best construction

>>	Anonymous Fri Jul 1 20:51:41 2022 No.14618576 >>14618571 /autism/ general

>>	Anonymous Fri Jul 1 21:04:57 2022 No.14618600 File: 26 KB, 800x700, 2101 - Kicchou_Yachie angry wily_beast_and_weakest_creature.png [View same] [iqdb] [saucenao] [google] This is now a real number DISSAPRECIAITON thread. Post why you HATE real "numbers".

>>	Anonymous Fri Jul 1 21:11:47 2022 No.14618621 >>14618571 >formalized not more than roughly 200 years ago And formalized in such a weak way that some of the simplest questions about subsets of the reals proved independent of the formalization.

>>	Anonymous Fri Jul 1 21:38:16 2022 No.14618690 >>14618576 >>14618600 >>14618621 YWNBAR Mathematician

>>	Anonymous Fri Jul 1 22:36:39 2022 No.14618817 What is the first real number after 0?

>>	Anonymous Fri Jul 1 22:37:02 2022 No.14618820 >>14618817 1 obviously you fucking retard

>>	El Arcón Fri Jul 1 22:38:12 2022 No.14618821 +RAPE DICK+

>>	Anonymous Fri Jul 1 22:47:04 2022 No.14618842 >>14618820 Decimals are real numbers. So: .28488383 .2333333348383 .222224848848484 .2111111111115122222222 .200000000000002 .19383838838383 .0003838838383 .00000000000093883838 So what is the first real number after 0?

>>	Anonymous Fri Jul 1 22:48:53 2022 No.14618844 >>14618817 in what way does this 'deboonk' real numbers? if something does not match YOUR intuition or expectations, it does not mean it's logically unsound

>>	Anonymous Fri Jul 1 22:55:16 2022 No.14618857 >>14618842 The infinitesimal

>>	Anonymous Fri Jul 1 22:56:37 2022 No.14618862 >>14618842 to have a first decimal after 0, the decimal numbers would need to have a smallest size difference. whole numbers have a smallest size difference of 1 but decimal numbers don't have anything like this.

>>	Anonymous Fri Jul 1 22:58:24 2022 No.14618868 >>14618842 Decimals dont exist. Reality is binary. You either have 1 or 0

>>	Anonymous Fri Jul 1 23:06:49 2022 No.14618881 >>14618690 you will never be a real number

>>	Anonymous Fri Jul 1 23:07:50 2022 No.14618882 >>14618820 REAL NUMBERS CONFIRMED INTEGERS

>>	Anonymous Fri Jul 1 23:09:23 2022 No.14618887 >>14618857 infinitesimals aren't in R

>>	Anonymous Fri Jul 1 23:15:48 2022 No.14618898 >>14618882 obviously. decimals are jewish horseshit. integers are aryan.

>>	Anonymous Fri Jul 1 23:28:04 2022 No.14618939 >>14618898 negative numbers are the invention of the jew to facilitate debts and lending money

Anonymous Sat Jul 2 00:00:39 2022 No.14618995
File: 91 KB, 750x1000, 1612027575132.jpg [View same] [iqdb] [saucenao] [google]

>>14618817
Thanks to the power of choice, I can pick it to be [math]e^\pi[/math] and *still* have a total order. Icing on the cake, it's even decidable!

How can you even not be pro-choice?

>>	Anonymous Sat Jul 2 01:03:04 2022 No.14619095 >>14618817 I did some research on this topic earlier today and found the very cool result of induction on the positive reals being a thing https://math.stackexchange.com/questions/4202/induction-on-real-numbers

>>	Anonymous Sat Jul 2 01:16:00 2022 No.14619112 >>14618571 Give me pi/sqrt(2) apples. I'll wait

>>	Anonymous Sat Jul 2 01:25:01 2022 No.14619127 >>14619112 >gives anon two apples and a piece of a third prove i didn't

>>	Anonymous Sat Jul 2 01:53:46 2022 No.14619173 >>14618817 What is the first rational number after 0?

>>	Anonymous Sat Jul 2 02:26:03 2022 No.14619226 >>14619173 1 - 0.999... where "..." is the diesel engine

>>	Anonymous Sat Jul 2 18:37:49 2022 No.14620860 >>14618868 >Decimals dont exist. Reality is binary. You either have 1 or 0 So like a 4d single pixel orthoganal quadrant space

Anonymous Sat Jul 2 18:50:06 2022 No.14620891

>>14620860
A space of massive 4d volume full of 99999999999999999999999^99999999999999999999999999999999 pixels, and energy is a style of quantity and quality that passes between and on and through the pixels, or just between them, or just registers each one

Times that result that amount of times.

>>	El Arcón Sat Jul 2 19:30:01 2022 No.14620986 File: 943 KB, 1x1, TIMESAND___21110072v1.pdf [View same] [iqdb] [saucenao] [google] >>14618571 Euclid formalized R a lot more than 200 years ago. R was given an algebraic definition about 200 years, however.

>>	Anonymous Sat Jul 2 19:32:06 2022 No.14620990 >>14618887 Where are they then? If you're so big brained tell me where they are?

>>	El Arcón Sat Jul 2 19:33:06 2022 No.14620994 File: 41 KB, 896x617, TIMESAND___s71sv59v2.png [View same] [iqdb] [saucenao] [google] https://mathshistory.st-andrews.ac.uk/HistTopics/Real_numbers_1/ https://mathshistory.st-andrews.ac.uk/HistTopics/Real_numbers_2/

>>	Anonymous Sat Jul 2 20:30:34 2022 No.14621125 >>14618820 Well, it’s the first surreal after 0

>>	Anonymous Sat Jul 2 20:37:52 2022 No.14621149 File: 220 KB, 711x568, 1656794244788.png [View same] [iqdb] [saucenao] [google] I prefer the p-adics. Surreal numbers are cool, too.

>>	Anonymous Sat Jul 2 20:38:21 2022 No.14621150 >>14618817 1 - 0.999....

>>	Anonymous Sat Jul 2 20:40:15 2022 No.14621158 >>14620986 based tooker poster

>>	Anonymous Sun Jul 3 01:12:15 2022 No.14621690 >>14618576 we are schizos here

>>	Anonymous Sun Jul 3 02:30:17 2022 No.14621833 >>14618571 Reminder that the uncountable reals are undefinable in finite terms and are unnecessary for the reals to be complete. We will never interact with them in any way. The reals are countable

Anonymous Sun Jul 3 19:09:06 2022 No.14623258

My stance on reals is that they mathematically do not exist, they are pure notation convention. Literally as math as the "R" used to denote them, or any letters.
I think just computable numbers (sadly, C is already taken, so I denote them with CUNT instead) exist.
Fortunately, there has not been a single instance in human history where there was a discrepancy between these two things. Crucially, this includes reals-demanding things like limits and transcendentals.
My definition really acts just as a sieve that says "almost all numbers in R which are usually said 'you can't know nuffin' about, simply don't exist. If there is made an attempt to approach one, it exists, as it is currently computed. It's not like it stops existing when the computation is ceased; rather, it just returns to a primordial state of indeterminateness. Kinda like how your consciousness was when you were just an embryo."

>>	Anonymous Sun Jul 3 20:03:04 2022 No.14623378 >>14623258 >unironically talking about "existence" of numbers in an ontological sense Infantile language games without meaning. Wittgenstein already solved ontology.

>>	Anonymous Sun Jul 3 21:54:08 2022 No.14623668 >>14623258 They exist in an abstract platonic realm like all mathematical structures

>>	Anonymous Sun Jul 3 21:57:41 2022 No.14623674 >>14623668 t. dekomori

>>	Anonymous Sun Jul 3 23:50:25 2022 No.14623877 Reals are countable. seethe

>>	Anonymous Mon Jul 4 12:10:50 2022 No.14624962 >>14618600 Because they are the ugliest object in mathematics

>>	Anonymous Mon Jul 4 12:20:26 2022 No.14624970 >>14618995 idgi why is it a portrait of Godel? because of his L?

>>	Anonymous Mon Jul 4 12:24:46 2022 No.14624980 OP is being silly. It is the theory of real numbers that is used in analysis etc. The set of real numbers is only ancillary and rarely applied for anything.

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