Do We Really Need Infinite Arithmetic?

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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?"

People have a complicated relationship to mathematics. We all use it in our everyday lives, from calculating a tip at a restaurant to estimating the probability of some future event. But many people find the subject intimidating, if not off-putting. John Allen Paulos has long been working to make mathematics more approachable and encourage people to become more numerate. We talk about how people think about math, what kinds of math they should know, and the role of stories and narrative to make math come alive.

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John Allen Paulos received his Ph.D. in mathematics from the University of Wisconsin, Madison. He is currently a professor of mathematics at Temple University. He s a bestselling author, and frequent contributor to publications such as ABCNews.com, the Guardian, and Scientific American. Among his awards are the Science Communication award from the American Association for the Advancement of Science and the Mathematics Communication Award from the Joint Policy Board of Mathematics. His new book is Who’s Counting? Uniting Numbers and Narratives with Stories from Pop Culture, Puzzles, Politics, and More.

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