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Modern Math through Games:
Notes for Discovery Seminar
Tien Chih
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Front Matter
1
Where do definitions come from anyway?
1.1
Definitions and Sandwiches
2
Geometry? In my card game?
2.1
SET
2.2
Neutral Plane Axioms
2.2.1
Introducing Axiom Systems and Models
2.2.2
Neutral Plane Axioms
2.2.3
Parallelism
2.2.4
2.3
P(rojective) SET
2.4
The Finite Projective Plane
2.4.1
Axioms and Duality
2.4.2
Counting points and lines
2.5
The Finite Affine Plane
2.5.1
Axioms (and Duality?)
2.5.2
Counting points and lines
2.6
The Projective Planes from Affine Spaces
2.6.1
Back to the 3d
3
Algebra
3.1
Introduction to groups
Backmatter
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Modern Math through Games:
Notes for Discovery Seminar
Tien Chih
Department of Mathematics
Oxford College of Emory University
November 28, 2023
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