There is very little philosophy that deals with problems that people actually have in productive ways. Most of philosophy tries to sort out problems caused by other philosophy. (That’s not meant to be a criticism.)
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For me, Aristotle's philosophy of the infinity.
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Yes. I work on continuous time systems and implement software tools. I find Aristotle's ideas on the continuum and infinity are much more practical than Cantor's.
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Can you describe this further or give some more specific references that summarize what you like?
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You may check Aristotle's treatment of Zeno paradoxes here: https://www.iep.utm.edu/zeno-par/#H4 . He assumes a whole timeline and divides it as necessary unlike Zeno & Cantor. So a timeline is always a finite sequence of time periods. Nothing inf. I have used it here: https://arxiv.org/abs/1901.00175
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It seems Aristotle could already anticipate constructivism in mathematics...
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