Also, a good definition does not betray all the definitions that one could try but that didn’t make it. To truly appreciate why a definition is “mathematically righteous” is not so straightforward.
I thought not cuz i didn’t see why that’d be desideratum. You mean a good definition is so canonical that when you read it you don’t even consider other formulations?
Seems like choosing the definitions is the important skill, since in real life you don’t usually have a helpful buddy saying “hey this is a graph”
Hah! Yes.
Also, a good definition does not betray all the definitions that one could try but that didn’t make it. To truly appreciate why a definition is “mathematically righteous” is not so straightforward.
‘Betray’ in the sense of contradicting/violating?
Hah no ‘betray’ in its less-used meaning as
unintentionally reveal; be evidence of.
“she drew a deep breath that betrayed her indignation”
I thought not cuz i didn’t see why that’d be desideratum. You mean a good definition is so canonical that when you read it you don’t even consider other formulations?