3min chapter

Sean Carroll's Mindscape: Science, Society, Philosophy, Culture, Arts, and Ideas cover image

216 | John Allen Paulos on Numbers, Narratives, and Numeracy

Sean Carroll's Mindscape: Science, Society, Philosophy, Culture, Arts, and Ideas

CHAPTER

Do We Really Need Infinite Arithmetic?

I was just reading a little bit about Georg Contour and his proof of the different kinds of infinity. It's also fascinating to me how people get worked up about these mathematical issues. I kind of, for research level reasons, have been wondering again if we really need infinity or do we really need a continuous infinity? Could we just imagine that reality just works on either a finite or at least accountable set of things?"

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