Module 2: Logic - MAT 100 - Introduction to College Mathematics - Textbook - LibGuides at Hostos Community College Library

Module 2: Logic - Learning Objectives

Identify, make, and interpret logical statements in English and symbolic notation.
Express and interpret connectives (including negation) in English and symbolic notation.
Express and interpret logical quantifiers, and their negations, in English.
Express and interpret the propositions of conditional, converse, inverse, and contrapositive in English and symbolic notation.
Construct and interpret truth tables to evaluate the truth value of a compound statement, determine whether or not two statements are logically equivalent, and determine the validity of an argument.
Recognize when logic is applicable to real-life situations, solve real-life problems, and communicate real-life problems and solutions to others.

Logic
Logic is a systematic way of thinking that allows us to parse the meanings of sentences and to deduce new information from old information. You use logic informally in everyday life and certainly also in doing mathematics.

Logic
Logic is, basically, the study of valid reasoning. When searching the internet, we use Boolean logic – terms like “and” and “or” – to help us find specific web pages that fit in the sets we are interested in. After exploring this form of logic, we will look at logical arguments and how we can determine the validity of a claim.

Screenshot for the video Truth Tables: Implication. Click the image to watch the movie. A new window will open.

Screenshot for the video Truth Tables: Disjunction and Conjunction. Click the image to watch the movie. A new window will open.

Please watch Parts 1 and 2 of this lesson.

Screenshot for the video 3.6 Analyzing Arguments with Truth Tables (Part 1). Click the image to watch the movie. A new window will open.

Screenshot for the video 3.6 Analyzing Arguments with Truth Tables (Part 2). Click the image to watch the movie. A new window will open.

Negation—NOT—Compound Statements and ALL/SOME
This reading provides information about negating “all,” “some,” or “no” statements.

Complete this assessment after you finish all sections in Module 2.

Assessment: Logic – Questions. Authored by: David Lippman and Roy Shahbazian. License: IMathAS Community License (GPL + CC-BY).

CC Licensed Content, Shared Previously

Logic. Authored by: Richard Hammack. Located at: http://www.people.vcu.edu/~rhammack/BookOfProof/. Project: Book of Proof. License: CC BY-ND.
Logic. Authored by: David Lippman. Located at: http://www.opentextbookstore.com/mathinsociety/. Project: Math in Society. License: CC BY-SA.
Negation—NOT—Compound Statements and ALL/SOME. Authored by: Donna Roberts, Oswego City School District Regents Exam Prep Center. Located at: https://web.archive.org/web/20161123081932/http://www.regentsprep.org/Regents/math/geometry/GP1/negatecompound.htm. License: CC BY 4.0. License Terms: See attribution.

3.6 Analyzing Arguments with Truth Tables (Part 1). Authored by: Krista Hands. Located at: https://youtu.be/dW7US8yRaEw. License: All Rights Reserved. License Terms: Standard YouTube License.
3.6 Analyzing Arguments with Truth Tables (Part 2). Authored by: Krista Hands. Located at: https://youtu.be/3PhHWT9MJew. License: Other. License Terms: Standard YouTube License.