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08-03-2005, 07:48 AM
I never herd about the second pillar, but I've been developing some philosophical thoughts on mathematics, which I want to give.
The basis of mathematics is logic. Logic is based upon a union between intuition and rational thinking. Logic is human created. Humans are subjective an so are everything that humans invent/create. Thus, logic is subjective. Logic has errors, failures, contradictions, fallacies... Which are, not only the evidence that logic is subjective but also that anything derived or based upon it, also is subjective (i.e. mathematics, science, human mind...).
I have developed some logic which proof several things about logic it self (like the fact that logic can't study philosophy as a whole). I will make other posts in the future in this thread, giving them.
I think the most important question to ask in philosophy of mathematics is:
Can mathematics study the whole of nature? How? Why/why not? Does, anyway, mathematics study nature?
I will post in these days about these questions. |