Week 3: Boolian Philosophy
Week 3: Boolian Philosophy Phil 110
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This 3 page Class Notes was uploaded by Heather Adams on Friday September 18, 2015. The Class Notes belongs to Phil 110 at Colorado State University taught by Mr. Edward Lenzo in Fall 2015. Since its upload, it has received 17 views. For similar materials see Logical and Critical Thinking in PHIL-Philosophy at Colorado State University.
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Date Created: 09/18/15
9 15 1 5 Converse Converse by limitation EX All S are P There is nothing in the S In Aristotelian logic there was the belief that there was at least one of anything because it existed in thought Do away with existence question therefore no limitation S P A Non Equivalent E Equivalent Equivalent 0 Non Equivalent Fallacy Illicit converse mistakenly take a converse when it is not needed Complements Complete Category completes universe of discourse Add a non and switch S and P to make it a complement Obverse Illicit inference change quality and compliment predicate Change quality UA universal Affirmative to UN Universal Negative gt Universe of discourse EX No S are P gt All S are nonP EX I Some S are P gt Some S are not non P o 1 oContrapositiveSwish S and P and compliment ExAll S are P gt All non P are non S Converse Obverse Contrapositive A X Equivalent Equivalent E Equivalent Equivalent X l Equivalent Equivalent X 0 X Equivalent Equivalent Short cuts to illicit inferences always equivalent Converse just E and I Obverse all work Contrapositive opposite of converse A and O Contradictory has opposite truth value by changing the quantity and quality Ex Some dolphins are not mammals gtAll dolphins are mammals USNP Universals distribute subjects negatives distribute predicates 9 17 l 5 Quality Af rmative or Negative Quantity Particular or Universal Nate s Mistake don t mix Ex All cant have a negative connotation if it needs to be negative must be no or some are not Quantifier subject terms copula predicate term Contradictories always have opposite truth value Did not work in Aristotelian because of existential import Existential import tribute proposition exert existence of some kind 1amp0 have existential import Aristotle thought universals had existential import because it could exist in the mind Compromises contradictories Ex All inhabitance of Mars are Blond things gtSome M are not B o It doesn t exist both fake if universals have Existential Import then could have two falsehoods Universals explicitly say something doesn39t exist Categorically reason before deciding if they exist Universals don t have Existential import George Boole universals don t have existential import because we don t talk that way In class we are working with Boolean modern interpretation of Aristotelian only thing missing is universals having existential import Fallacies Illicit Converse Illicit contrapositive and Existential Existential some propositions conclude about existence but doesn39t speak of existence committed when we conclude particular conclusion from all universal premise o It is false that prop A It is true that contradict What comes after If you have false with universal it becomes a particular lst diagram Whats true 2 Whats false 3 truth value 4 take immediate inference to find What it matches
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