MIT24_241F09_handout18

MIT24_241F09_handout18 - Logic I Fall 2009 Session 18...

This preview shows pages 1–2. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

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

Unformatted text preview: Logic I Fall 2009 Session 18 Handout Formal semantics for PL • An interpretation for PL is a specification of each of the following: – A universe of discourse UD, where ∅ ⊂ UD. – For each sentence letter S of SL, a truth-value assigned to S . – For each n-place predicate letter F of PL, a set of n-tuples of members of UD assigned to F . E.g., if we are interpreting ‘Lxy’ to mean x lives in y , then to ‘L’ we would assign { Ephraim, Somerville , Damien, Somerville , Vann McGee, Boston , . . . } . – For each individual constant c of PL, an individual u assigned to c , where u is a member of UD. Denotations of individual terms on I and d : • – If t is a variable, then den I , d ( t ) = d(t) . – If t is an individual constant, then den I , d ( t ) = I(t) . • Variants of variable assignments: – d [u / x ] is the variable assignment that assigns u to x and is otherwise just like d ....
View Full Document

This note was uploaded on 01/25/2012 for the course PHIL 201H1F taught by Professor Derekallen during the Fall '10 term at University of Toronto.

Page1 / 3

MIT24_241F09_handout18 - Logic I Fall 2009 Session 18...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online