New Books in Mathematics

Joseph Mileti, "Modern Mathematical Logic" (Cambridge UP, 2022)

Aug 15, 2022

47:51

Highlights

AI Chapters

Episode notes

The Differences Between Human Language and Mathematics

03:26

The Evolution of Geometry

02:03

Introduction

2min

Grinnell's Math Program

4min

The Differences Between Human Language and Mathematics

3min

The Complexity of Mathematics

2min

The Importance of Proofs in Mathematics

2min

The Power of Big Theorems

2min

The Power of Proofs

3min

The Importance of Grammar Checkers in Mathematical Language

2min

The Importance of Analogies in Mathematics

3min

10.

The Importance of Intuition in Mathematics

3min

11.

The Importance of Probabilistic Judgments in Mathematics

4min

12.

The Impossibleness of Mathematics

2min

13.

How to Make Sense of Different Sizes in Mathematics

3min

14.

The Importance of Set Theory in Mathematics

2min

15.

The Evolution of Geometry

2min

16.

The Importance of Relaxing Constraints in Mathematics

2min

17.

The Different Dimensions of Intersectionality

2min

18.

The Inner Disparity in Mathematics

6min

Today I had the pleasure of talking to Joe Mileti, associate professor of mathematics at Grinnell College. Even if you are not "into" math, you will enjoy this conversation. We talked about how math is not what you think it is. It's not just memorizing formulas and grinding. It's about thinking and, like all thinking, it involves abstraction, logic, using analogies and metaphors, and a bunch of imagination. We also talked about how math is about talking to other mathematicians and doing a kind of "brainstorming."

Joes's new book is Modern Mathematical Logic (Cambridge UP, 2022).

Marshall Poe is the founder and editor of the New Books Network. He can be reached at marshallpoe@newbooksnetwork.com.

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