Mathematically Speaking Podcast (adam allred)

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.  

On this episode of the show, we finally cover the wonderful world of 0 and its importance in algebra as the identity element.
I make some announcements about the show. 

If you would like to support the show you can find a donate here and join us on discord for conversation and community.

On this episode, I have a conversation with Dr. Nagarath about the Education Gap in public education.

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.  

On this episode, we talk about Plato. His background, his work and impact on math, and a lesson we can learn from his mistakes.

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. 

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.  

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.  

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.   

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.  

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/

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.   

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.  

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.  

On this episode, we move on to the city of Alexandria.  We talk about the father of geometry, Euclid, and his book, The Elements.  

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. 

On the episode we explore Probability Theory through the story of Blaise Pascal.

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. 

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

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. 

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. 

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.  

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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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: 

Conic sections animated

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This episode discusses fractals, the theory and history, and a philosophical viewpoint of how math can enrich our lives.