Logic Part 1: Logic Statements, Connectives and Quantifiers

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This is a full introductory lecture in only 20 minutes! The video is intended for a Math For Liberal Arts class called MGF1106 Foundations of Mathematical Reasoning. The video covers the first section of the Logic Chapter in which simple and compound statements, components, quantifiers, negations, and connectives are defined. We also practice translating between words and symbols.

I define the meaning of a logical statement and explain the difference between a simple statement and a compound statement. I introduce the concept of connectives and work with the connectives and (conjunction), or (disjunctions), and not (negation). I define the negation and give examples of how to negate existential quantifiers (some, at least one) and universal quantifiers (all, none, no(one)). I demonstrate how to translate between written language and symbols of logic. And more!

For more Logic Videos check out my Logic Chapter Playlist:    • Logic For Liberal Arts Math  

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 1A: Logic Statements Quantifiers (Section 1 of textbook)
Logic Part 1B: Connectives Symbols and Examples (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 11A: How to write If...then statements using other wording (Also Section 4 of textbook)
Logic Part 11B: The Biconditional and Summary of Truth Value Rules (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)