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0:55:42
Joel David Hamkins: Set-theoretic forcing as a computational process
0:04:47
How to Count to Infinity and Beyond
0:56:45
Joel David Hamkins—Computable quotient presentations of models of arithmetic and set theory
0:01:25
The Banach-Tarski paradox
1:14:16
Joel David Hamkins: The Math Tea argument—must there be numbers we cannot describe or define?
1:06:57
Joel David Hamkins: Are there natural instances of nonlinearity in consistency strength?
1:36:50
Set Theory and the Philosophy of Set Theory
1:01:46
Joel David Hamkins — Set-theoretic and arithmetic potentialism: the state of current developments
1:19:48
The Gödel incompleteness phenomenon
1:24:10
What is Computability?
1:40:26
What is Proof?
1:34:22
Geometry — a paragon of mathematical deduction?
1:27:20
Climb to Infinity!
1:22:01
The Rise of Rigor in the Calculus
1:11:13
What is a number?
0:52:31
Joel David Hamkins: Modal model theory as mathematical potentialism
1:17:31
Joel David Hamkins: Categorical Cardinals
0:00:15
In memory of John H Conway, who could do impossible things
0:00:51
Arguing with the Yes-No box
0:00:49
Introducing the Triare!
0:00:40
Introducing the Trircle!
0:00:43
Introducing the Squircle!