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Philosophy Week Six

by: Lydia Purcell

Philosophy Week Six PHIL 1010 - 001

Lydia Purcell

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About this Document

This covers chapters 10 through chapters 14.
Introduction to Logic
Leila E Batarseh
Class Notes
Philosophy - Intro to Logic
25 ?




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This 2 page Class Notes was uploaded by Lydia Purcell on Wednesday March 2, 2016. The Class Notes belongs to PHIL 1010 - 001 at Auburn University taught by Leila E Batarseh in Fall 2015. Since its upload, it has received 48 views. For similar materials see Introduction to Logic in PHIL-Philosophy at Auburn University.


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Date Created: 03/02/16
Philosophy Chapter 10 -14 February 22 , 2016 Two Place Operators P Q P&Q T T T T F F F T F F F F Memorize These!!!! P Q P&Q T T T T F T F T T F F F Negation Operator – can change the truth value of its component sentence  “it is not the case that…”  “not False”; “not true”  Ex. My dog is not sick. It is not the case that my dog is sick. P P T F F T Conditional Sentence – antecedent and consequence  “If… then” operator  Ex. If I like chocolate, then I like chocolate chip cookies. o Antecedent o Consequence  Antecedent – condition under which something else holds o S  A o Antecedent ALWAYS follows the the “if” in the sentence when in “if…then”, “when…”, “provided that…”, “so long as…” is used. P Q P& Q T T T T F F F T T F T T F F T o Ex. I will wake up on time only if I go to bed early. o A  C o Ex. Pop will not come to town even if he bought a plane ticket. o False because “even if” implies it will not happen Sufficient Condition  Ex. Going outside in the winter is a sufficient condition to get cold. o W  C  Like an “if…then” statement Necessary Condition  Ex. The exchange of saliva is a necessary condition to contract mono. o M  S o You have to have the exchange of saliva to extract mono, but it doesn’t mean every time you kiss someone or share a drink that you’ll get it.  Like an “only if” statement Philosophy Chapter 10 -14 February 24 , 2016 Bi-conditional P Q P=Q T T T T F F F T F F F T Truth-Functional Language  Constant variables are A, B, C  Operators are connective symbols  Grouping {}, [], () Well-Formed Formulas  Begin with constants  Constants are well-formed formulas  D, F, Q  Any tilde in front of the well-formed formula is still well-formed o Tilde = equal to or negation  Any two well-formed formulas can be connected with an operator and then grouped (except tilde)


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