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August 28, 2018 ~ squarishbracket

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Recent Posts

No more than half of anti-sets are big
A Dating Puzzle, and Bayesian Experimental Design
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Quantum Chess
Biblical inerrancy
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A Self-Interpreting Book
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Pictures of some extremely large numbers
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Fundamentals of Logic: Syntax, Semantics, and Proof
The Pictorial Mathematics of Klak-Adbmal
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The Transfinite Factorial
On Self-Hating Theories of Arithmetic
Updated Introduction to Mathematical Logic
Finiteness can’t be captured in a sound, complete, finitary proof system
The Mindblowing Goodstein Sequences
Wacky Non-Standard Models of PA
The Continuum Hypothesis is False
Kolmogorov Complexity, Undecidability, and Incompleteness
Constructing the Church-Kleene Ordinal
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The order type of the rational numbers
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Immoral or Inconsistent?
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Earning to give or waiting to give
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Paradoxical Precommitment
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Complex numbers in physics
The laugh-hospital of constructive mathematics
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For Loops and Bounded Quantifiers in Lambda Calculus
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Galois’ Unsolvable Polynomials
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Symmetries of Platonic Solids
Some Curious Group Isomorphisms
Extending Cauchy’s Theorem
Strong Induction Proofs of Cauchy’s Theorem and Sylow’s First Theorem
Table of Small Finite Groups
Some Group Factoids
Group Theory Toolkit
The sweet spot on the structure spectrum
Proving Cauchy’s Theorem
Group Theory: Lagrange’s Theorem and the Sudoku Principle
The Most Irrational of Numbers
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Collatz Tree
Record-breaking Collatz chains!
Producing all numbers using just four fours
A sequence prediction puzzle
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Hopping Midpoints
Exploring Julia Sets
Mandelbrot Exploration
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Hopping Midpoints and Mathematical Snowflakes
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Firing Squads and The Fine Tuning Argument
The EPR Paradox
Measurement without interaction in quantum mechanics
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The problem with the many worlds interpretation of quantum mechanics
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Decision Theory
Rationality in the face of improbability
A probability puzzle
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The history of lighting technology
Kant’s attempt to save metaphysics and causality from Hume
Deriving the Lorentz transformation
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Fractals and Epicycles
How to Learn From Data, Part 2: Evaluating Models
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The Match Problem
Gödel’s Second Incompleteness Theorem: Explained in Words of Only One Syllable
Anti-inductive priors
Making sense of improbability
A simple probability puzzle
The end goal of epistemology
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Wave function entropy
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Causal Arrows
Causality: Preliminaries
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