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PODCAST

Cognitive Capital

Cognitive Capital is a podcast where I explore how mathematics can power sharper thinking, better decisions, and a deeper understanding of the world. Each episode is an exploration in the worlds of decision science, reasoning, risk, game theory among others, in an attempt at unpacking how abstract math models can be used to understand and impact real-world problems like war, negotiation, uncertainty, and intelligence. Whether you"re a thinker, builder, strategist, or just endlessly curious, join

science mathematics

All Episodes

00:05:40

Excursion: Kolmogorov Complexity

Cognitive Capital ·

2025/06/01

In this short excursion I discuss the definition of Kolmogorov Complexity and work through a few examples.

en

00:25:48

S2-EP_001: Abstract Algebra - Binary Operators

Cognitive Capital ·

2025/05/24

In this episode I jump into abstract algebra.I discuss the following topics:1. Binary Operators2. Closure Property3. Commutativity4. Associativity5. Identity Elements6. Inverse Elements

en

00:19:22

Episode #0004: Activation Functions, Bias and Neural...

Cognitive Capital ·

2024/01/01

In this episode, I ramble on a bit about some of the parts of neural network mathematics, particularly activation functions and bias.1. Activation Functions: https://en.wikipedia.org/wiki/Activation_function I also talk about a book by Jeff Heaton, Introduction to the Math of Neural Networks. It's very short and simple but a nice fast read for a quick introduction to the topic. Check it out if you're interested: https://www.amazon.de/-/en/Jeff-Heaton-ebook/dp/B00845UQL6

en

00:21:38

Episode #0003: The Conditional Sentence

Cognitive Capital ·

2023/12/07

In this episode we discuss the conditional proposition or the conditional sentence Topics: 1. What is If P, then Q. (conditional) 2. If P, then Q (definition, antecedent, consequent) 3. Truth Table for if P, then Q. 4. Thinking about and conceptualizing the conditional in terms of promises. 5. True & False Examples 6. The Converse 7. The Contrapositive 8. The Equivalence of if P, then Q <=> ~Q, then ~P.

en

00:11:28

Episode #0002: Logical Connectives

Cognitive Capital ·

2023/12/02

In this episode I talk about 1. Logical Connectives: Conjunction, Disjunction, Negation. 2. Truth Tables 3. Examples of True and False well-formed formulas using conjunction, disjunction and negation. 4. Propositional forms.

en

00:08:52

Episode #0001 - Propositions

Cognitive Capital ·

2023/11/26

What is a Proposition? A statement that can be true of false. Examples: sqrt(2) is irrational. 1+1=5 The tiger will become extinct before the Gorilla on the planet Earth. Socrates was left handed. Main Points: Difficulty of establishing the actual (realworld) truth value is unimportant Some values can be immediately computed as T or F #1 or #2, others may take many years #3 or we may never know #4. Non-Proposition Examples: Can you please pass me the Ketchup? x^2 = 49 This

en

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