Logic

Logic

​This lesson is an introduction to logic. You will discussion statements, conditional statements, and write truth tables. I would like to thank Dr. Tarcia Hubert. I found her work to be more helpful. So please take notes and pay attention.

​In the following video, you will learn about the foundation of logic. You will learn about terms such as statement, negation, quantifiers, and quantified statements. You will also witness some examples and non-examples of each, and you will learn how to negate various types of statements. Make sure to take very good notes.

​Logic

​Compound Statements and Connectives

​In this video, you will learn about simple statements and how connectives are used to connect simple statements to form compound statements. You will learn how to translate and, or, if then, and if and only if statements from words to symbols. Write down your notes

In this video you will learn what is a truth table, and how to construct truth tables for negations, conjunctions, and disjunctions. Take good notes.

Truth Tables for Negation, Conjunction, and Disjunction

In this video you will learn how to construct the truth table for the conditional and bi-conditional statements. You will also witness some other examples of truth tables being constructed involving conditionals and bi-conditionals. Take notes.

Truth Tables for the Conditional and
Bi-conditional

Are you wondering how to demonstrate that two statements are logically equivalent? After you watch this video, you will know! Logically equivalent means that they have the same truth values in the same scenarios. So, you will construct truth tables for a pair of statements and compare the results. We will also look at two special cases of equivalent statements, called DeMorgan's Laws.

Equivalent Statements, Conditional Statements, and De Morgan’s Laws

​Take notes.

Make sure to take good notes on all of the videos. They will come in handy when you have your homework and quiz.

Arguments and Euler Diagrams

One way to determine if an argument is valid is by using truth tables. Analyzing arguments using truth tables To analyze an argument with a truth table: Represent each of the premises symbolically. Create a conditional statement, joining all the premises with a conjunction to form the antecedent, and using the conclusion as the consequent. Take notes.

Arguments and Truth Tables