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myle
on Aug 14, 2016
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What is it like to understand advanced mathematics...
Still quite interesting. Physics is a way of giving an interpretation to a physical system. Only based on an interpretation we can answer questions about internal and external consistency as well as completeness.
Trivial example:
a @ b
b @ c
c @ a
Makes "sense" if @ is = but not if @ is <.
wwwhizz
on Aug 14, 2016
[–]
Makes sense if @ is reflexive, more generally speaking :) I have no problem redefining < to make c < a true, that's just a matter of interpretation
Smaug123
on Aug 15, 2016
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parent
[–]
Or we might be working in a preorder which has that particular a<b<c<a loop.
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Trivial example:
a @ b
b @ c
c @ a
Makes "sense" if @ is = but not if @ is <.