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Logic I Notes, Week 1

by: Amanda Notetaker

Logic I Notes, Week 1 PHL 1100

Amanda Notetaker
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About this Document

As I was not a note taker yet, these notes are not extremely thorough. However, I do write down many of the important things Dr. Rardin talked about in class, and wrote on the board. More thorough ...
Logic I
Dr. Patrick Rardin
Class Notes
logic, Rardin, appalachian, philosophy, Amanda, Horsley




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This 2 page Class Notes was uploaded by Amanda Notetaker on Thursday August 25, 2016. The Class Notes belongs to PHL 1100 at Appalachian State University taught by Dr. Patrick Rardin in Fall 2016. Since its upload, it has received 46 views. For similar materials see Logic I in Philosophy at Appalachian State University.


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Date Created: 08/25/16
Logic I Week 1 08/16 + 08/18 General Vocabulary  Valid Argument ­ IF the premises were true, the conclusion MUST be true  Sound Argument ­ a valid argument with true premises  Logic ­ the study of forms of argument that can create sound arguments  Statement Letters ­ capital letters that only abbreviate simple statements (A, B ... Y, Z)  Statement Variables ­ lowercase letters that represent premises (a, b ... y, z) Key One­Liners to Remember Form determines the truth conditions Aristotle's form for a valid argument: All S is M All M is P So all S is P (Argument must be in this form to be valid) Statement (or Truth­Functional) Logic I. Simple Statement ­ basic unit of meaning, always either true or false, no truth­functional  connectives (see IIb.) a. ex.) Al is happy. II. Compound Statement ­ not simple (Dr. Rardin's definition), includes truth­functional  connectives a. ex.) Al is not happy. a. Truth­functional connectives ­ indicate what type of symbols to use Connective Words Type of Truth­Function Symbol not, it is not the Negation ~ (tilde) case that and, but, etc. Conjunction ∙ (dot) or, unless Disjunction ᵛ (wedge) b. Punctuation ­ breaks symbolized sentences up into understandable phrases i. ex.) "(", ")", "[", "]", "{", and "}" Sample Sentences and Symbolizations 1. Not both Al and Cathy are happy. ~(A ∙ C) 2. Al and Cathy are both not happy. ~A ∙ ~C 3. Neither Al nor Bill is happy. ~(A ᵛ B) HOMEWORK #1 DUE ON 8/23: HW 1 ON ASULEARN, AND TEXTBOOK PAGE 299,  SECTION C, NUMBERS 2, 3, AND 4 Logic I Week 1 08/16 + 08/18 General Vocabulary  Valid Argument - IF the premises were true, the conclusion MUST be true  Sound Argument - a valid argument with true premises  Logic - the study of forms of argument that can create sound arguments  Statement Letters - capital letters that only abbreviate simple statements (A, B ... Y, Z)  Statement Variables - lowercase letters that represent premises (a, b ... y, z) Key One-Liners to Remember Form determines the truth conditions Aristotle's form for a valid argument: All S is M All M is P So all S is P (Argument must be in this form to be valid) Statement (or Truth-Functional) Logic I. Simple Statement - basic unit of meaning, always either true or false, no truth-functional connectives (see IIb.) a. ex.) Al is happy. II. Compound Statement - not simple (Dr. Rardin's definition), includes truth-functional connectives a. ex.) Al is not happy. b. Truth-functional connectives - indicate what type of symbols to use Connective Words Type of Truth-Function Symbol not, it is not the Negation ~ (tilde) case that and, but, etc. Conjunction ∙ (dot) or, unless Disjunction ᵛ (wedge) c. Punctuation - breaks symbolized sentences up into understandable phrases i. ex.) "(", ")", "[", "]", "{", and "}" Sample Sentences and Symbolizations 1. Not both Al and Cathy are happy. ~(A · C) 2. Al and Cathy are both not happy. ~A · ~C 3. Neither Al nor Bill is happy. ~(A ᵛ B) HOMEWORK #1 DUE ON 8/23: HW 1 ON ASULEARN, AND TEXTBOOK PAGE 299, SECTION C, NUMBERS 2, 3, AND 4


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