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For anyone that has studied both philosophy and mathematics, at any level really, i would like to know whether you think maths is a rationalist or empiricist study?

For anyone who is purely a mathematician (and i salute you =-p ), do you think mathematics could be discovered without experience of the physical world?

For example if i were locked away in a scentless, intangible, soundless, pitch-black, tasteless cupboard since birth, yet had the mental faculties necessary to think logically, would i be able to come up with any mathematical truths?

This is more of a debatable question, and there are many schools of thought on the subject, but this is a question that has been in my head for a long time now and i've only recently discovered this forum. I'd be interested to hear what you all have to say.

Thanks.