Originally posted by Ben Kenobi
And a very narrow definition of rigorous.
And a very narrow definition of rigorous.
Or, well, a very rigorous one
In fact, just with that you've conceded that mathematics is more rigorous than philosophy.
Seem to me better definitions that can apply not only to maths, but also to Philosophy. There are certain rules in philosophy that need to be followed, in order to establish a proof, similar to those in maths.
Look at all your logic, is that mathematical, or philosophical? Or what you consider a proof by induction? That can be done by both. It certainly is not the sole property of mathematics.
Look at all your logic, is that mathematical, or philosophical? Or what you consider a proof by induction? That can be done by both. It certainly is not the sole property of mathematics.
Unless you're doing propositional logic, your proof isn't going to be rigorous. Maybe a computer could do a rigorous proof with higher-order logic, but people can't (or at least do not).
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