# How Do Mathematicians Know Their Proofs Are Correct?

An episode of [The Joy of Why](https://invisiblenetwork.ai/podcast/1608948873), 13 Jul 2022, 28 min.

Audio: https://dts.podtrac.com/redirect.mp3/tracking.swap.fm/track/sblTq32fyWAjsHzze2LG/dovetail.prxu.org/5340/34ae6c5f-fe18-409e-a2de-5d997fac1ad6/Ep9-JOW-Evidence-in-Math-FINAL-NEWCREDITSMASTER6052022.mp3

Just as scientists test hypotheses, mathematicians prove or disprove conjectures. But what makes a proof stronger than a guess? What does evidence look like in the world of mathematics? Hear Melanie Matchett Wood, professor of mathematics at Harvard University, explain how probability helps to guide number theorists toward certainty.

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