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Re:Why I Majored in Philosophy Despite Everyone Telling Me N... by pmoriarty on Thursday September 15, 2016 @01:00AM (#12503546)
I'm not sure if that's really true about mathematicians lacking rigour.

I do recall a logic professor of mine jokingly say that mathematicians were afraid of logicians, and (more seriously) that the former thought the latter were unnecessarily precise. (I hope I'm remembering this right and not misrepresenting what he said)

I'm not sure about the superiority in rigour in the rest of philosophy (even if we narrow the meaning of that term to just analytic philosophy, some of whom sure are fond of their logic, symbols and attempting to sound "scientific" or rigorous). If anything, I'd say those analytic philosophers have math (or hard science) envy.

You're right about mathematicians not being very interested in the foundations of math. That's a consequence of the failure of the great foundational project in the early 20th century. From what I understand, most mathematicians have decided that such a foundation is not possible, and view themselves as moving on to doing the very practical business of math anyway. After all, the lack of a foundation has not prevented them from achieving many interesting (and often useful) results.

That said, there has continued to be interest in foundations for math from some logicians, and (at least according to my logic professor) it still might be possible to found math on logic yet. That's quite a bit out of my league, however, so I'm afraid I can't elaborate much. But if you're interested in that, I do recommend taking some courses in symbolic logic and in the philosophy of math.

Re:Why I Majored in Philosophy Despite Everyone Telling Me N... by jacobolus on Thursday September 15, 2016 @01:09AM (#12503591)
I can only assume his persona and commentary is an elaborate satirical parody of the snooty narcissistic philosopher (but you never know.. Poe’s Law and all that). To quote from saintzozo’s website:

Mathematics is easy.

If you think it's hard, you are retarded.

proof

Any true mathematical statement is logically equivalent to the axiomatic framework within which it occurs. If you do not understand such a statement, there are only two possibilities:

1. You do not understand the axioms.

Axioms are chosen so that they are evident a priori (eg. the probability of all disjoint events must sum to unity). If all the axioms are not clear to you, there is something seriously wrong with your reasoning faculties.

2. You do not understand logic.

If you understand the axioms, then the only thing that could prevent you from understanding a true mathematical statement is an inability to reason logically. Such a crippling deficiency defines what it means to be retarded.

This case analysis exhaustively proves that if you don't understand math, you are retarded. ■

corollary

Now one must be wary of students formally enrolled in programs of study devoted to mathematics (and its bastard child, computer science).

These people misunderstand mathematics (read: are retarded) to such an extent that they have resorted to paying other people money for instruction in the obvious. [...]

Re:Why I Majored in Philosophy Despite Everyone Telling Me N... by szemet on Thursday September 15, 2016 @02:51AM (#12503957)
Axioms are chosen so that they are evident a priori

Wonder why it took 2000 years to came up with alternatives to the 5th postulate, if all three variants (Euclidean, elliptic, hyperbolic) is so evident apriori?

Re:Why I Majored in Philosophy Despite Everyone Telling Me N... by saintzozodeux on Thursday September 15, 2016 @01:53AM (#12503768)
Sir, I own the copyright to this material and I would appreciate if you do not reproduce my work without permission. For some reason, this site no longer appears to function with my original account.
Re:Why I Majored in Philosophy Despite Everyone Telling Me N... by usgroup on Thursday September 15, 2016 @03:49AM (#12504179)
I wouldn't say there is maths envy in analytical Phil.

Stuff like modal logic , ontology and descriptive logics , a large variety of para-logical systems and epistemically logical systems, etc are all philosophy proper.

Lots of professors have a background in maths, even continentals (e.g Husserl).

I think mathematical rigour is the holy grail but the objects of the philosophical world are often not easy to coerce into such a form hence the piecemeal visage.