The Millennium Problems

Is Democracy an Illusion? (part 1)

Elections are supposed to reflect the will of the people—but do they really? In this episode, I take a look at Condorcet's work, a mathematician who tried to make voting fairer. From plurality voting to ranked-choice systems, we’ll explore the flaws that still haunt elections today. Is democracy as fair as we think? Let’s find out ! -ˋˏ✄┈┈┈┈ Sur l’admission des femmes au droits de la cité (1790; On the Admission of Women to the Rights of Citizenship) : ⤷ https://revolution.chnm.org/d/292 [https://revolution.chnm.org/d/292]  ⤷https://old.maa.org/press/periodicals/convergence/mathematical-treasures-condorcet-on-the-application-of-probability-to-voting [https://old.maa.org/press/periodicals/convergence/mathematical-treasures-condorcet-on-the-application-of-probability-to-voting] ⤷ https://arxiv.org/pdf/2002.03153 [https://arxiv.org/pdf/2002.03153]

Eureka 🛁

In this episode, we talk about the life of Archimedes, the father of mathematics. We look at his works in geometry, and his early insights into calculus. So... Eureka 💡

Intro to the second season

Hey everyone and welcome to the second season of our podcast Mathemaniacs, where with me, your host Defne, we’ll continue our journey through the world of mathematics.

The Millennium Problems

In the final episode of our first season, we talk about the seven Millennium Problems including the famous P vs NP and the Riemann Hypothesis. Discover how these problems could be the keys to unlocking a brand new world. 1) P vs NP Problem 2) The Riemann Hypothesis 3) Yang–Mills Existence and Mass Gap problem 4) Navier–Stokes Existence and Smoothness problem 5) The Hodge Conjecture 6) Birch and Swinnerton-Dyer Conjecture 7) Poincaré Conjecture

P vs. NP Problem

P vs NP problem—one of the biggest mysteries in math and computer science...