Joel David Hamkins

How we might have viewed the continuum hypothesis as a fundamental axiom necessary for mathematics

Joel David Hamkins

The covering reflection principle - Joel David Hamkins - Oberwolfach 2025

Joel David Hamkins

Joel David Hamkins Set-theoretic forcing as a computational process

Joel David Hamkins

How to Count to Infinity and Beyond

Joel David Hamkins

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

Joel David Hamkins

The Banach-Tarski paradox

Joel David Hamkins

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

Joel David Hamkins

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

Joel David Hamkins

Set Theory and the Philosophy of Set Theory

Joel David Hamkins

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

Joel David Hamkins

The Gödel incompleteness phenomenon

Joel David Hamkins

What is Computability

Joel David Hamkins

What is Proof

Joel David Hamkins

Geometry — a paragon of mathematical deduction

Joel David Hamkins

Climb to Infinity!

Joel David Hamkins

The Rise of Rigor in the Calculus

Joel David Hamkins

What is a number

Joel David Hamkins

Joel David Hamkins Modal model theory as mathematical potentialism

Joel David Hamkins

Joel David Hamkins Categorical Cardinals

Joel David Hamkins

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

Joel David Hamkins

Arguing with the Yes-No box

Joel David Hamkins

Introducing the Triare!

Joel David Hamkins

Introducing the Squircle!

Joel David Hamkins