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Joel David Hamkins: Set-theoretic forcing as a computational process

How to Count to Infinity and Beyond

Joel David Hamkins—Computable quotient presentations of models of arithmetic and set theory

The Banach-Tarski paradox

Joel David Hamkins: The Math Tea argument—must there be numbers we cannot describe or define?

Joel David Hamkins: Are there natural instances of nonlinearity in consistency strength?

Set Theory and the Philosophy of Set Theory

Joel David Hamkins — Set-theoretic and arithmetic potentialism: the state of current developments

The Gödel incompleteness phenomenon

What is Computability?

What is Proof?

Geometry — a paragon of mathematical deduction?

Climb to Infinity!

The Rise of Rigor in the Calculus

What is a number?

Joel David Hamkins: Modal model theory as mathematical potentialism

Joel David Hamkins: Categorical Cardinals

In memory of John H Conway, who could do impossible things

Arguing with the Yes-No box

Introducing the Triare!

Introducing the Trircle!

Introducing the Squircle!