Section 1.2: Conditional and Biconditional Connectives
Section 1.4: Mathematical Proofs
Section 1.5: Proofs in Predicate Logic
Section 1.6: Proof by Mathematical Induction
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Section 2.1: Basic Operations of Sets
Section 2.3: Combinatorics: The Art of Enumeration
Section 2.4: Countable Infinity
Section 2.5: Uncountable Infinity
Section 2.6: Larger Infinities and the ZFC Axioms
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Section 3.1: Relations
Section 3.3: Equivalence Relations
Section 3.4: The Function Relation
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CHAPTER 4 The Real and Complex Number System
Section 4.1: Construction of the Real Numbers
Section 4.2: The Complete Ordered Field: The Real Numbers
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Section 5.1: Introduction to Graph Theory
Section 5.3: Some General Ideas of Topology
Section 5.4: Point-Set Topology on the Real Line
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Section 6.1: Symmetries and Algebraic Systems
Section 6.2: Introduction to the Algebraic Group
Section 6.3: Permutation Groups
Section 6.4: Subgroups Inside a Group
