Training in different disciplines will teach you different skills. Maths is great for leaning to think precisely as if you mess up, someone will be able to show you a formal proof of why you are wrong. In contrast, it is much harder to learn to think precisely purely by studying philosophy as the claims and arguments are less well defined. It’s very hard to get the logic flow clear enough that someone could formally prove that your argument is either logically sound or logically unsound. Without the same feedback loop, your ability to think precisely simply won’t advance as fast.
However, someone who has trained extensively in maths might face the opposite problem of being stuck in that paradigm. Perhaps they want ever claim to be put into a formal model before they are willing to consider it, without understanding that this is too much of a burden for some areas of philosophy and that they would be missing out on valuable lessons.
So I expect this would lead to a bipolar distribution where some mathematical philosophers crash and burn, whilst others soar.
Training in different disciplines will teach you different skills. Maths is great for leaning to think precisely as if you mess up, someone will be able to show you a formal proof of why you are wrong. In contrast, it is much harder to learn to think precisely purely by studying philosophy as the claims and arguments are less well defined. It’s very hard to get the logic flow clear enough that someone could formally prove that your argument is either logically sound or logically unsound. Without the same feedback loop, your ability to think precisely simply won’t advance as fast.
However, someone who has trained extensively in maths might face the opposite problem of being stuck in that paradigm. Perhaps they want ever claim to be put into a formal model before they are willing to consider it, without understanding that this is too much of a burden for some areas of philosophy and that they would be missing out on valuable lessons.
So I expect this would lead to a bipolar distribution where some mathematical philosophers crash and burn, whilst others soar.