<p>Zero, you seem to be using the term "philosophy" in its everyday sense, that is, you seem to think it only means an outlook on life. But in fact, the philosophical writings of the great thinkers are much more rigorous than thatand that's why I originally said that a math major would like quite a bit of philosophy, because both subjects have in common a rigorous need for proof and a desire to build a system of knowledge whose basis cannot be disputed. Both involve logical thinking and a certain pedantic attention to detail. I often think of philosophy as math that uses words instead of symbols.</p>
<p>The study of philosophy, then, is certainly not useless. Besides being very interesting and a whole lot of fun, it teaches us to think clearly and analytically, and to separate the false from the trueand those are skills you need no matter what you end up doing. If you take a couple of courses in it, I'm sure you'll find that it becomes the backbone of your intellect, an invaluable reference point in your thinking.</p>
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People like Leibniz, Descartes, Aristotle are philosophers because Everybody back then was one. They hadn't invented physics yet, so people turned to philosophy and religion for the answers.
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<p>It's true that back in the Greek era everyone who studied scientific things was called a philosopher, but that's simply because the term had a much wider meaning back in the day. Etymologically, "philosophy" merely means "love of knowledge," so back in Aristotle's day, what we today call science was just lumped in together with what we now call philosophy. You might have heard the term "natural philosophy" applied to science, for example; it was at that point merely considered a type of philosophy. As for the statement that they "hadn't invented physics yet," you might note that the word "physics" is itself derived from Greek. Who do you think came up with the term in the first place? You might remember that one of the main achievements of the Renaissance was its debunking of some of Aristotle's incorrect assumptions in physics. Obviously they had physics "back then," although like many a physicist, Aristotle came up with some theories that were later proven wrong. (But hey, you've got to start somewhere, right?)</p>
<p>Zero, with your strong interesting in math, I think you would actually like philosophy very much. As I said, you seem to harbour a misconception about what philosophy actually is and the sorts of things it studies, because just as many precise terms in math and science are bastardized when they are used by laymen, so "philosophy" has taken on an everyday sense of "a set of personal values." But it is in fact much more than that, and it saddens me that you haven't been able to experience it at its best but only in the withered, watered-down form that you see in the popular media around you. I guarantee you that if you read some of the greatsPlato, Aristotle, Descartes, Hume, Kant, etc.you'll find that it opens up a whole new world for you, and you'll be extremely excited. Just trust me on this one: take a course. You'll never regret it.</p>