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

Humnza Jamadar is a curious mechanical engineer. He offers insights into:

- how to choose and lead an engineering team

- what are the advantages of calm observation

- how to learn through race car design

- why water purification matters

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

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

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

Timestamps:

(0:00) introduction

(1:07) curiosity and observation

(11:22) engineering and project management

(17:37) team leadership

(24:56) water purification project

(33:26) sustainability as a buzzword

(38:14) entrepreneurship as an enabler

Links:

- Humnza's LinkedIn: https://www.linkedin.com/in/humnzaj

Paul Ellis shares his decade's worth of experience with facilitating math circles. We will delve into:

- where do math, zen, teaching, acting and parenting meet

- what is the right age for problem-solving

- why to do activities for their own sake

- how to battle the sunk cost fallacy with free classes

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

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

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

Timestamps:

(0:00) introduction

(0:46) building a math circle

(07:01) teaching styles and community

(25:20) breaking preconceptions

(41:45) zen, ego, and presence

(59:43) intrinsic motivation and side benefits

Links:

- Westchester Area Math Circle: https://sites.google.com/site/westchestercountymathcircle

- Paulus Gerdes: https://www.mi.sanu.ac.rs/vismath/gerdokt/index.html

- Mathematics for human flourishing: https://www.francissu.com/flourishing

- Five Fabulous Activities for Your Math Circle: https://naturalmath.com/five-fabulous-activities/

- Mathematician's apology: https://archive.org/details/hardy_annotated/page/24/mode/2up

- Art of Problem Solving: https://artofproblemsolving.com/

- Nicomachean ethics: https://archive.org/download/AristotlesNicomacheanEthics/Aristotles%20-%20Nicomachean%20Ethics.pdf

- What the best college teachers do: https://books.google.cz/books/about/What_the_Best_College_Teachers_Do.html?id=YwPCxQpxKbIC&redir_esc=y

- Sonobe modules: https://en.wikipedia.org/wiki/Sonobe

- Paul's website: https://www.paulellis.org/

- Paul's mail: paulellis@paulellis.org