With Charles Kenney, a graduate student in combinatorics, we explore:

- what do intense hatred and food allergies have in common

- why to be more like a fox than a hedgehog

- how to think about biases

- the linguistic Rorschach test

Startovač: https://www.startovac.cz/patron/misto-problemu/

FB stránka: https://www.facebook.com/mistoproblemu

Web: https://www.mistoproblemu.cz/

Timestamps:

(0:00) introduction

(1:41) equalities and inequalities

(5:17) the nature of combinatorics

(18:11) the Bayes rule

(25:56) handling uncertainty and biases

(31:43) collaboration and author order

(36:37) academia vs. industry

(45:00) opportunity cost and habits

(51:38) problem solving strategies

Links:

- foxes and hedgehogs: https://www.historyaccess.com/new/isaiah-berlins-hedgehogs-and-foxes/

- Erdős vs Grothendieck: https://golem.ph.utexas.edu/category/2007/04/the_two_cultures_of_mathematic.html