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I know the definition of a category and know several examples. But I have not studied the theory of categories.

Much of mathematics I studied can be written as a category and a functor.

But for me, a category is just an organizational language. What is the merit of studying category theory?

What can I obtain by reading Mac Lane's book?

Is it necessary to learn category theory to be a good mathematician, especially for number theorists, algebraists, and topologists?


marked as duplicate by Grigory M, Dietrich Burde, user61527, user63181, Tomás Dec 27 '13 at 20:59

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    $\begingroup$ Category theory is far more than just an organization language. And yes, basic categorical notions are foundational for (large parts of) algebra and topology. $\endgroup$ – Martin Brandenburg Dec 27 '13 at 20:22
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    $\begingroup$ I don't know the answer but if I had to learn Cat Theory I'd start with a user friendly book like Awodey's one. $\endgroup$ – Sergio Parreiras Dec 27 '13 at 20:23
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    $\begingroup$ math.stackexchange.com/questions/312605/… $\endgroup$ – Jorge Fernández Hidalgo Dec 27 '13 at 20:33
  • $\begingroup$ I know this is going to bring me problems, but I really loathe category theory...and about your last quetiopn I sincerely think the answer is a huge no . $\endgroup$ – DonAntonio Dec 28 '13 at 0:12

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