Set Theory and Logic Lectures
34 videos • 283,486 views • by Dr. Hoover
Lectures for FALL 2020 MATH 3400
1
Sets Theory and Logic Lecture 1 Sets
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2
Set Theory and Logic Lecture 2 Finite Cardinalities
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3
Set Theory and Logic Lecture 3
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4
Set Theory and Logic Lecture 4 Subsets
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Set Theory and Logic Lecture 5 Unions, Intersections, Complements, and Venn
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Set Theory and Logic Lecture 6 Indexed Sets
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7
Set Theory and Logic Lecture 7 The Well Ordering Principle
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8
Set Theory and Logic Lecture 8 Introduction to Logic
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9
Set Theory and Logic Lecture 9 Conjunctions, Disjunctions, and Negations
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10
Set Theory and Logic Lecture 10 Conditionals and Biconditionals
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11
Set Theory and Logic Lecture 11 Necessity and Sufficiency
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12
Set Theory and Logic Lecture 12 Logical Equivalence and Tautologies
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13
Set Theory and Logic Lecture 13 Quantifiers
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14
Set Theory and Logic Lecture 14 Negating Statements
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15
Set Theory and Logic Lecture 15 Rules of Inference
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16
Set Theory and Logic Lecture 16 Definitions and Theorems
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17
Set Theory and Logic Lecture 17 Directly Proving Conditional Statements
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18
Set Theory and Logic Lecture 18 More Direct Proofs
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19
Set Theory and Logic Lecture 19 Still More Direct Proofs
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20
Set Theory and Logic Lecture 20 Proof by Cases
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21
Set Theory and Logic Lecture 21 Proof By Contrapostition
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22
Set Theory and Logic Lecture 22 Proof By Contradiction
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Set Theory and Logic Lecture 23 Proving Conditional Statements By Contradict
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24
Set Theory and Logic Lecture 24 Proving Equivalent Statements
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25
Set Theory and Logic Lecture 25 Existence Proofs
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26
Set Theory and Logic Lecture 26 Some Basic Set Theory Proofs
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27
Set Theory and Logic Lecture 27 Counterexamples
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28
Set Theory and Logic Lecture 28 Proof by Mathematical Induction
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29
Set Theory and Logic Lecture 29 Induction Practice
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30
Set Theory and Logic Lecture 30 More Induction Practice
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31
Set Theory and Logic Lecture 31 Strong Induction
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32
Set Theory and Logic Lecture 32 A Proof On Divisibility By Primes
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33
Set Theory and Logic Lecture 33 Relations
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34
Set Theory and Logic Lecture 34 Functions
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