Topic Index: Logic/Axioms/Foundations
Currently, our books are written with a semester long course in mind. However, many of the individual chapters from different books can be grouped together to create a semester long course with a variety of topics or they can be used to supplement a topic in an exisiting course. To use this topic index, click a heading below to view the specific book chapter(s) featuring a given topic.
Discovering the Art of Mathematics: Truth, Reasoning, Certainty, & Proof
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Doubt
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Types of Reasoning
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Limits of Knowledge
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$20^{\text{th}}$ Century Revolutions in Thought
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Knights and Knaves
Discovering the Art of Mathematics: The Infinite
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Introduction: The Infinite and New Number Systems
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Sizes of Infinity
Discovering the Art of Mathematics: Calculus
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What is Area?
Discovering the Art of Mathematics: Games & Puzzles
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Sudoku
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Connection Games — Hex, ConHex, ...
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One pile, two pile, three piles
Discovering the Art of Mathematics: Geometry
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So, What is Geometry?