Mathematically Speaking Podcast
By adam allred
Mathematically Speaking Podcast Jan 15, 2022
Episode 3.4: Credit is given where credit is due...supposedly
In this episode, we explore the algebraic foundations of calculus through the lens of Bhaskara II, and try to pin down who made calculus.
See Transcript for the show on the shows website. Transcripts go up within a week of release.
https://mathematicallyspeakingpod.com/
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Episode 3.3 It is nothing...really
Episode 3.2- A Slice of Transcendence
On this episode of the show, we look at our first historical figure of the season! Aryabhata! He gave us one of the first approximations for Pi. But what is Pi exactly? Listen to find out!
Transcripts and resources for further learning can be found here: https://mathematicallyspeakingpod.com/
Episode 3.1- The Big, the Small, and Everything in Between
On this episode, we see the results of Indian Mathematics from a birds-eye perspective. The overview is given to show the impact of the Indian Culture on its math, and how abstracting math away from the physical gives it power.
In news about the show, there is now a website! https://mathematicallyspeakingpod.com/. you can find transcripts and resources for further reading here. I hope you enjoy it.
Epiosde 2.8: The Woman Behind the Men
On this episode, we end season 2 with 4 different mathematical giants, one of which is our first named woman mathematician. We have 3 revolutionary texts and the editor/commentator who made sure they all lasted until today. Here is the link to the conic sections animation:
Join us on Discord for a conversation about the show.
Episode 2.7: A Lever Large Enough
This episode begins with a 9 minute moment of silence in honor of George Floyd, and all other black men and women who are victims of police brutality. During that time I encourage you to donate here: https://secure.actblue.com/donate/ms_blm_homepage_2019. You can also sign various petitions here:https://www.bleumag.com/2020/06/03/30-blm-petitions-you-should-sign-right-now/.
The content of this episode surrounds two mathematical giants, Eratosthenes and Archimedes to demonstrate the power of geometry when it works on its own. We end the episode with a discussion on the importance of prime numbers.
Episode 2.6- Euclid: They wrote the Bible
On this episode, we move on to the city of Alexandria. We talk about the father of geometry, Euclid, and his book, The Elements.
Episode 2.5- It's Just Platonic
On this episode, we talk about Plato. His background, his work and impact on math, and a lesson we can learn from his mistakes.
Bonus Episode 2: The Education Gap with Dr. Nagarath, CEO of Elephant Learning
On this episode, I have a conversation with Dr. Nagarath about the Education Gap in public education.
Episode 2.4: Mathematics VS. Metaphysics
On this episode, we take a break from history and go deep into the connection between math and metaphysics with a discussion of a Discrete Reality vs. a continuous one. We construct the real numbers and try to offer a solution of both rather than either or to some tough question.
Episode 2.3- Beans, Cults, and Math
On this episode, we talk about cults, numerology, and the man that has those things in common, Pythagoras. We discuss the impact his cult had on the world, irrational numbers, and the implications of trying to quantify everything.
Episode 2.2 Quod Erat Deomonstrandum- Going from Computation to Proof
On this episode, we talk about the man who made everyone hate high school geometry- Thales. He is why we have the concept of proof. We will go over what he did and what proof means.
Episode 2.1: It's All Greek To Me
The opening episode of season 2 is here! On this episode, we discuss how the number system of the Greeks worked. What it means to have a geometric conception of number, both it's pros and cons.
Bonus Episode #1: Interview Compliation
On this episode, I took clips from several different interviews with professors that I did for another podcast that I host. You will hear from 4 different professors who come from different mathematical perspectives all talking about the nature of math, the difference between pure and applied math, and some applications that most people would not think a mathematician doing. Hope you enjoy it.
Episode 1.7 A Brief History of Calculators
On this final episode of Season 1, we go over the history of calculators from ancient Egypt, Rome, China and Japan, and finally the Hindi calculator.
Episode 1.6- Egypt and A Mathematician God
On this episode, we end our discussion about Egypt with the pyramids. We also explore the golden ratio, a number that can be found in a multitude of seemingly unrelated things from sunflowers, the human body, and the milky way galaxy. Does this mean a universal number implies the existence of a God? Listen and Find out.
Episode 1.5 Egypt
On this episode, we move from Mesopotamia to Egypt. We begin with their counting system and compare it to the US monetary system. We also discuss, potentially, the very first algorithms.
Episode 1.4- More Mesopotamians
One this episode we continue our journey into Ancient Mesopotamia and see what more mathematical knowledge that they had. We will discuss the basics of arithmetic, some of the earliest algorithms and maybe even get to the earliest notion of infinity.
Episode 1.3 The Mesopotamians
On this episode of the podcast we begin our journey into ancient Mesopotamia and see what the earliest human settlements knew. We give them credit for knowledge that is beyond most of us today and maybe their knowledge can give us insight into the nature of mathematics itself.
Episode 1.2- It Started With Women
On This episode of the show, we look at what it means when I say a counting system, and the potential connection between arithmetic and geometry. And We refer back to last episode as potential evidence for Women being the first mathematicians.
Episode 1.1: In the Beginning
Episode 0.11-Infinity past and future
Episode 0.10: What is Infinity?...To Infinity and Beyond
On this episode we continue the discussion of the concept of infinity. We discuss how infinity changed from the 17th century to today, how Georg Cantor shook the mathematical and religious worlds, and how infinity can help give us a meaning to a seemingly meaningless life.
Episode 0.9: Is Infinity Real?- There exists a...
On this episode, we begin our discussion on Infinity by defining what it means to exist. Existence is a massive aspect to formal mathematics, yet it is never defined what kind of existence is meant in mathematics. We break down three kinds of existence and show their effect on mathematics through the history of calculus and how it evolved. Calculus done by Leibniz and calculus done by students today look very different, and the idea of existence may give us an insight as to why.
Episode 0.8: The Quaker is still fighting...Causes vs Correlations and War
On this episode, we finish the discussion on Richardson's Theory of War and with his proposed causes and pacifiers of war. Also we have a discussion on the massive importance of cause vs. correlation
Episode 0.7: So a Quaker gets in a Fight...Making Conflict Theory Scientific
Episode 0.6: What is Math? Part 3- The Social Humanist P.O.V
Episode 0.5: What is math? Part 2- Formalism
Episode 0.4: What is math? Part 1-Platonism
Episode 0.3: May the Odds be Ever in Your Favor
On the episode we explore Probability Theory through the story of Blaise Pascal.
Episode 0.2: Not All Heroes Wear Capes
Episode 0.1: Fractals and a Broken World
This episode discusses fractals, the theory and history, and a philosophical viewpoint of how math can enrich our lives.