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Mar 14, 2021 at 20:34 comment added Alec Rhea @PraphullaKoushik My pleasure, I enjoy having an excuse to go on about these things... :)
Mar 14, 2021 at 19:15 comment added Praphulla Koushik I did not mean you mean I do not understand $2$-categories. I was casually saying that.. :) Thanks for your time and answer..
Mar 14, 2021 at 19:06 comment added Alec Rhea @PraphullaKoushik Perhaps more importantly, I meant to show how each 'next step' into abstraction is canonically suggested by the current step, all the way up the abstraction ladder. Things get a little hairier trying to get your teeth into infinity-categories using this type of intuition, but it works well for finite higher categories.
Mar 14, 2021 at 18:59 comment added Alec Rhea @PraphullaKoushik I wasn't trying to imply you didn't understand $2$-categories, apologies if it came off that way; I was just trying to illustrate how they can be seen as a natural 'step up' in the categorical abstraction ladder, and how they suggest the existence of a 'next step', and this 'next step' itself suggests the existence of a step after that, etc.
Mar 14, 2021 at 18:54 history edited Alec Rhea CC BY-SA 4.0
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Mar 14, 2021 at 18:18 comment added Praphulla Koushik +1... I know (and to some extent understand) the notion of $2$-category... Thanks for your answer... I do not have anything specific to say. I will read one more time and write if I have anything specific..
Mar 14, 2021 at 11:45 history edited Alec Rhea CC BY-SA 4.0
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Mar 14, 2021 at 11:25 history edited Alec Rhea CC BY-SA 4.0
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Mar 14, 2021 at 11:15 history edited Alec Rhea CC BY-SA 4.0
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Mar 14, 2021 at 11:10 history answered Alec Rhea CC BY-SA 4.0