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Chomp
We shall together play a game by chomping on a bar of chocolate, with a game-theoretic surprise, by which one player steals the strategy of another.
Jan 31
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Joel David Hamkins
7
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Chomp
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Twenty one
Let's count together to twenty one, starting from one, with each person adding one, two, or three numbers. Whoever says “twenty-one” wins. Would you…
Jan 23
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Joel David Hamkins
3
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Twenty one
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2
Finding Fifteen
Shall we play the game of Finding Fifteen? It is a fun elementary game, which also reveals a subtle game-theoretic concept when looked upon from a…
Jan 20
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Joel David Hamkins
6
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Finding Fifteen
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Interpretability of theories
We interpret one theory in another when we can translate all the concepts and structures of the first theory into the language and structural resources…
Jan 11
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Joel David Hamkins
7
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Interpretability of theories
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4
The zigzag theorem
A selection from Proof and the Art of Mathematics
Jan 4
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Joel David Hamkins
13
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The zigzag theorem
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3
December 2024
Take my Infinity final exam!
How well can you answer the questions on the final exam for my Infinity course?
Dec 21, 2024
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Joel David Hamkins
14
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Take my Infinity final exam!
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15
Mutual and bi-interpretation of models
Enjoy this installment from A Panorama of Logic, an introduction to topics in logic for philosophers, mathematicians, and computer scientists.
Dec 14, 2024
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Joel David Hamkins
7
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Mutual and bi-interpretation of models
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The interpretation translation
We give a precise account of what it means to interpret one mathematical structure in another, and show how this leads to the interpretation…
Dec 7, 2024
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Joel David Hamkins
5
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The interpretation translation
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November 2024
Interpretability
We can often simulate one model inside another, providing a translation of meaning from the first realm to the second.
Nov 30, 2024
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Joel David Hamkins
11
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Interpretability
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7
Permutations and combinations
A selection from Proof and the Art of Mathematics
Nov 17, 2024
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Joel David Hamkins
8
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Permutations and combinations
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What is the essential structure of the complex numbers?
I discuss several commonly held perspectives on the complex numbers and explore how their differences engage with several aspects of structuralism in…
Nov 10, 2024
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Joel David Hamkins
15
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What is the essential structure of the complex numbers?
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October 2024
Representing integers as a sum
A quick selection from Proof and the Art of Mathematics
Oct 27, 2024
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Joel David Hamkins
3
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Representing integers as a sum
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