He missed off philosophy. If done properly, it's arguably more fundamental than mathematics.
I'm not so sure (at least with mathematics as it is done today). After all, philosophers still claim to say something about the world, the humans, etc., while mathematics is about abstract ideas that need not have any relation to reality.
-- The Tao of math: The numbers you can count are not the real numbers.
That's a good point but some branches of philosophy focus solely on abstract concepts too e.g. philosophy of mathematics, philosophy of language. I'm sure there's a lot of crossover between mathematics and philosophy. I suppose logic is one of the biggest areas of intersection. You could even make a case that those who first derived the rules of logic were doing philosophy.
-- If a cat has kittens, does a rat have rittens, a bat bittens and a mat mittens?
I took a 100-level philosophy class 10 years before I took discrete math, and the first third of that discrete math class was the material from that philosophy class. Philosophy has a bad rap for being a bunch of stoners mentally masturbating around paradoxes and opinions, but philosophy also has rules and structure.
Were the early mathematicians philosphers, or vise-versa?
(Score: 2) by maxwell demon on Thursday January 25 2018, @04:40PM (2 children)
I'm not so sure (at least with mathematics as it is done today). After all, philosophers still claim to say something about the world, the humans, etc., while mathematics is about abstract ideas that need not have any relation to reality.
The Tao of math: The numbers you can count are not the real numbers.
(Score: 2) by acid andy on Thursday January 25 2018, @05:21PM (1 child)
That's a good point but some branches of philosophy focus solely on abstract concepts too e.g. philosophy of mathematics, philosophy of language. I'm sure there's a lot of crossover between mathematics and philosophy. I suppose logic is one of the biggest areas of intersection. You could even make a case that those who first derived the rules of logic were doing philosophy.
If a cat has kittens, does a rat have rittens, a bat bittens and a mat mittens?
(Score: 1) by Ethanol-fueled on Friday January 26 2018, @02:41AM
I took a 100-level philosophy class 10 years before I took discrete math, and the first third of that discrete math class was the material from that philosophy class. Philosophy has a bad rap for being a bunch of stoners mentally masturbating around paradoxes and opinions, but philosophy also has rules and structure.
Were the early mathematicians philosphers, or vise-versa?