Intro to Logic notes12

Intro to Logic notes12 - 12 Monday, July 30, 2007 10:30 AM...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 12 Monday, July 30, 2007 10:30 AM Predicate Logic Jay and Kay are sophomores. Jay and Kay are cousins. The second implies a relationship between Jay and Kay. We grammatically analyze the second sentence as having a subjectpredicate structure. The two place predicate ' __ is a cousin of__' . The one place predicate ' __ is a sophomore' expresses the property of being a sophomore. Some one place predicates ___ is clever ___ sleeps soundly ___ is very happy. 2 place __ is taller than ___ ___ loves _____ ___ admires ____ 3 place ___ is between ___ and ___ ___ is the sum of ___ and ___ Predicates work like connectives in that they take in one or multiple inputs and spit out an output. Singular terms. 1 2 3 Different kinds of expressions that function as singular terms in english. Proper nouns Definite description president of the USA Demonstrative noun phrases e.g. that guy, that thing A useful test is to ask: can this expression be used with the singular verb form is Intro to Logic Page 1 John is Jenny and Fred is X The happiest drunkard is She is The two unfriendliest ogres is X We symbolize simple statements with an uppercase letter and singular terms as lower case letters __is Tall T __ is insane I __is a cousin of __ C ___lent___ to __ L The king of France k John Lennon j He h Mongolia m Cjk Sometimes we want the predicate to symbolize a property and not a relation such as Jay and Kay are married but not to each other Mj&Mk As opposed to Mjk ~Mkj Quantifiers and variables Some dogs are pets. All people are crazy. There are no unicorns. Everyone who is married is purple. A quantifier is an expression denoting the quantity of something. All, some, none In predicate logic we only use two quantifiers. 1 2 1 2 All, every Some, at least one Universal quantifier: everything is such and such Existential quantifier: there is at least one thing that exists that is such and such C1 Everything is blue C2 Something is blue F1 xBx Intro to Logic Page 2 F2 xBx Intro to Logic Page 3 ...
View Full Document

This note was uploaded on 04/07/2008 for the course PHILOSOPHY 201 taught by Professor Morgan during the Spring '08 term at Rutgers.

Ask a homework question - tutors are online