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/sci/ - Science & Math

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11606072 No.11606072 [Reply] [Original]

Why is the proofs book before set theory? Shouldnt it be the other way around?

>> No.11606092

>>11606072
You learn naive set theory in introductory proof books so that you can start doing mathematics by talking about set inclusion, subsets, etc.. However, a full and proper treatment of set theory goes beyond introductory use and motivation that you'll end up confusing yourself before you hit other topics. Set theory (and other logic topics, such as ZFC, type theories, recursion theory, model theory, etc.) are all fascinating subjects, but you don't want to dive deep into those before experience basic algebra and analysis, at least in my opinion.

>> No.11606101

>>11606072
Why even listen to these infographics? Do you really know how bored you'd be if you actually followed that reading list? There's a reason 98% of math programs don't offer anything in the foundations.

>> No.11606107

>>11606072
Without logic you cannot do much with set theory.
Or have you got the feeling that you know enough about set theory already, and you should be able to deal with it comfortably without understanding logic and proofs?
Your first name is not Norman, is it?

>> No.11606128

>>11606072
Imagine doing all that just to get to calculus.
Reading lists are a meme.

>> No.11606149

>>11606101
>he thinks everything has to be fun
Kys childish slave

>> No.11606202

>>11606149
>he doesn't have fun while studying
>he doesn't feel the payoff after getting through technical details
the only childish one here is you

>> No.11606257

>>11606072
>Why is the proofs book before set theory?
Because it's a memelist

>> No.11606460

>>11606257
yes but you don't go through a full set theory book before an introductory proof book.

>> No.11606466

>>11606072
Calculus is baby math.
Why are you recommending all this BS filler anyway? Are you trying to kill people's interest in mathematics?

>> No.11606481

Ok, can anyone recommend serious reading for once ?

>> No.11606485
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11606485

>>11606481
>Ok, can anyone recommend serious reading for once ?