Originally posted by Ramo
Math is building a system from a set of assumptions based on the logical rule of the invalidity of contradiction. So is philosophy. Philosophical assumptions are not substantially different from mathematical ones.
Math is building a system from a set of assumptions based on the logical rule of the invalidity of contradiction. So is philosophy. Philosophical assumptions are not substantially different from mathematical ones.
BTW, the notion of contradiction may be part of a philosophical system. For example, one and the same thing can be good and bad simultaneously: good in one sense, and bad in another. This is not allowed in mathematics: the thing is either "good" or "bad".
It's just that a lot of philosophy ends up being logically dubious while math usually is very rigorous in maintaing logical validity.
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