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## LOGIC, SETS, AND FUNCTIONS

by: Harrison Reilly

50

0

3

# LOGIC, SETS, AND FUNCTIONS PHL 313K

Harrison Reilly
UT
GPA 3.85

Staff

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COURSE
PROF.
Staff
TYPE
Class Notes
PAGES
3
WORDS
KARMA
25 ?

## Popular in PHIL-Philosophy

This 3 page Class Notes was uploaded by Harrison Reilly on Monday September 7, 2015. The Class Notes belongs to PHL 313K at University of Texas at Austin taught by Staff in Fall. Since its upload, it has received 50 views. For similar materials see /class/181849/phl-313k-university-of-texas-at-austin in PHIL-Philosophy at University of Texas at Austin.

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Date Created: 09/07/15
Second Test Review Translation 1 Be able to translate simple categorical statements involving every some none 2 Be able to translate sentences containing two deterrniners like every student likes a teacher 3 Be able to translate categorical staternents containing terms with attributive adjectives relative clauses and prepositional phrases 4 Be able to distinguish between all amp only and between every and any 5 Recognize translations of at least two at least three at most one at most two 6 Be able to translate a donkey sentence a sentence containing everyall or an if then conditional with an anaphoric pronoun in the consequent that is linked with an existential determiner a or some in the antecedent 7 Be able to recognize which sentences are equivalent by the rights of passage 8 Be able to translate sentences containing only plus a proper name and sentences containing superlatives Interpretations Be able to compute the truth value of formulas given an interpretation model consisting of a domain assignment of sets of ntuples to nary predicates and of elements of the domain to constants Proofs in predicate logic 1 Whenever the Show line has a universal quanti er as main connective do a universal proof Always use a new constant 2 Recognize that Existential Exploitation requires the use of a new constant 3 Be able to apply both Existential Introduction and Identity Exploitation recognizing that in each case one can replace some or all of the occurrences of a term 4 Do existential exploitations as soon as possible After each EE check every available line with a main universal quanti er and decide whether to do a UE with the new constant 5 When doing Universal Exploitation and Identity Exploitations try to match patterns triggering sentential logic rules Remember you can instantiate or substitute using complex terms not just constants

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