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# /sci/ - Science & Math

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 >> Anonymous Mon Apr 11 04:10:20 2016 No.7996069 [View] File: 142 KB, 907x960, triple fields are the new triple integrals.jpg [View same] [iqdb] [saucenao] [google] [report] well i'm off to bed, but i'll just go ahead and sayif you've defined the numbers like i did here >>7995958and assigned the symbol "1" to the element $\{ \emptyset \}$then 1 = 1 follows directly from the axiom of extensionality$\forall{A}. \forall{B}. (\forall{C}.(C \in A \iff C \in B) \implies A=B)$which says "if you take any sets A and B, and if for every set C, C is in A only if C is in B, then A is equal to B"which, put less autistically, says "if A and B have the same elements, then they are equal"so there's my first proof that 1 = 1i get bored in class and do a lot of messing around with foundations and low-level stuff so i've got a lot more of this if anybody's interestedi kinda want to post it all TЬH but i'd rather post it in a thread where there's interesti have category theoretic and type theoretic proofs that 1=1 as well, but they're pretty much the same as that proof up there^also can somebody tell me where pic related is from?i've image searched it and stuff but i can't find anythingi just want to know why the dodecahedron group is off by itself as if it's as important or even as interesting as
 >> Anonymous Mon Mar 21 15:31:30 2016 No.7947480 [View] File: 142 KB, 907x960, Holy Shit.jpg [View same] [iqdb] [saucenao] [google] [report] Do you guys have cool diagrams that sum up different areas of maths into one neat space ?pic related : example
 >> Anonymous Tue Feb 3 13:41:51 2015 No.7046784 [View] File: 142 KB, 907x960, Holy Shit.jpg [View same] [iqdb] [saucenao] [google] [report] So I saw this (attached picture) relationship on another thread .Does anyone else have a similar illustration, which shows the relationship between different branches of maths ?>Mathematics
 >> Anonymous Tue Feb 3 00:16:48 2015 No.7046004 [View] File: 130 KB, 907x960, math.jpg [View same] [iqdb] [saucenao] [google] [report] In the meantime, I will self-bump with good visuals and links that have helped me, for any /sci/ browsers out there that teach themselves things.>Analysishttps://59clc.files.wordpress.com/2012/08/real-and-functional-analysis-lang.pdfhttp://classicalrealanalysis.info/com/documents/TBB-AllChapters-Landscape.pdf>Engineering Textbookshttp://kisi.deu.edu.tr//ali.sevimlican/Peter_V__O%27Neil-Advanced_Engineering_Mathematics,_7th_Edition__-Cengage%282011%29.pdf

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