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Re:Does Mathematics Need a Philosophy? by dr_dshiv on Thursday February 16, 2023 @02:16AM (#34815957)
Plato is worth reading in the original because of the way it makes one think. But we might call it Pythagorean if we want to claim that the world is made of Math.

Roger Penrose has a very nice “3 worlds theory” about mathematics, the physical world and the world of mental experience. He describes theories for how these worlds encompass each other and overlap. In “The Road to Reality.”

Re:Does Mathematics Need a Philosophy? by techno_tsar on Thursday February 16, 2023 @02:23AM (#34815993)
In addition to this, Plato is worth reading because he is still relevant and his work outlined the agenda of huge swathes of western philosophy, which undeniably influences our scientific paradigm and political worldviews.

I have not yet read The Road to Reality. At 1094 pages, I hope it is not extremely complicated.

Re:Does Mathematics Need a Philosophy? by dr_dshiv on Thursday February 16, 2023 @03:32AM (#34816391)
Plato gets summarized — and that mostly doesn’t work. Need to read it. The Parmenides is supposed to be the hardest to understand—pah, I’d start with that. Cut to Zeno arguing conclusively that all is one. He then conclusively argues that everything can’t be one. Then…

Don’t be put off by the size of Penrose’s road to reality! The introduction and first chapter already made the book worth it. I’ve not gotten much further myself (but that’s how I read)

Re:Does Mathematics Need a Philosophy? by DiscourseFan on Thursday February 16, 2023 @04:08AM (#34816591)
Plato can't be summarized, there are no conclusions to any of the arguments, just endless arguments. That's why he's so great, he always leaves the question open, there is always room for greater understanding.