Logic Part 8 The Conditional and Tautologies

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Are you an @MzMath Fan?! Please Like and Subscribe. :-) • And now you can BECOME A MEMBER of the Ms. Hearn Mathematics Channel to get perks! • / @mzmath • In this video, we cover the third section of our Logic Chapter. We discuss the conditional connective, which is the If...then... connective. p --_ q. We learn that p --_ q is only false when the antecedent, p, is true, but the consequent, q, is false. Then we use this rule along with the rules for the truth values of and, or, and the negation, to determine if a compound statement is a tautology. • This is part of my Logic Chapter Playlist: • This Logic Playlist covers almost all of the logic chapter in the course MGF1106 that I teach. The following is how the videos correlate to the textbook we use at my school: Mathematical Ideas, 14th edition by Miller, Hornsby and Heeren: • Logic Part 1: Logic Statements, Connectives, Quantifiers (Section 1 of textbook) • Logic Part 2: Truth Values of Conjunctions (Section 2 of textbook) • Logic Part 3: Truth Values of Disjunctions (Also Section 2 of textbook) • Logic Part 4: Truth Values of Compound Statements with and , or , and not . (Also Section 2 of textbook) • Logic Part 5: What are truth tables? (Also Section 2 of textbook) • Logic Part 6: More on Truth Tables and Setting Up (Also Section 2 of textbook) • Logic Part 7: Equivalent Logical Statements and DeMorgan's Laws (Also Section 2 of textbook) • Logic Part 8: The Conditional and Tautologies (Section 3 of textbook) • Logic Part 9: Conditional Continued: Negations and Equivalent Statements (Section 3 of textbook) • Logic Part 10: Conditional and Related Statements: Converse, Inverse, Contrapositive (Section 4 of textbook) • Logic Part 11: How to write If...then statements using other wording (Also Section 4 of textbook) • Logic Part 12: Euler Diagrams to determine Validity of Argument (Section 5 of textbook) • Logic Part 13: Truth Tables to Determine if Argument is Valid or Invalid (Section 6 of textbook)

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