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Explore foundational issues in mathematics through an engaging interview with N J Wildberger conducted by philosopher Steve Patterson. Delve into topics such as the role of infinities in modern mathematics, the distinction between algorithms and infinite choice, paradoxes like Banach-Tarski, Wittgenstein's philosophical insights, axiomatics in mathematics, the nature of space, and future directions in mathematical research. Gain valuable perspectives from both mathematical and philosophical viewpoints as the discussion covers skepticism, foundational difficulties, and the core challenges facing modern mathematics. Learn about the intersection of philosophy and mathematics while considering thought-provoking questions about the foundations and future of mathematical thinking.
