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D7 Listening Guide - Summary for Lesson 7

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Day 7 listening guide, video 1: building up sentences.

  • Simple sentences
  • Punctuation in Sentential Logic
  • Main Operator *Main operator: Operator that joins major sentences together
  • Stacking the same connective Exercise! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Identify the kind of truth functional sentence:  If either the line is too long at the mala stall or the selection is too picked over at the economical rice stall, I guess I’ll just have chicken rice again. (M v E) v C o Conditional (arrow)  Pho is the world’s best noodle dish if pasta is counted as a separate category from noodles, or spaghetti carbonara takes it all. (P & PA) v C o Disjunction; but one of the disjunct is a conditional (wedge)  Shanghai is famous for XLB and Utsunomiya is famous for gyoza, but Russian pelmeni are completely underrated. o Conjunction (SU) & R  It’s not the case that Chicago pizza is better than New York style pizza if you are a fan of thin crust pizza from Napoli. o N <( As a bonus exercise, translate these sentences into their truth functional form (with correct parenthesis placement!)

Video 2: Trickier Translations with Truth Functional Sentences

Negations a. Accentuating the positive b. Tricky Nots

Conjunction a. Tricky Ands b. Another use of “and”

Disjunction Exercise! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Identify the sense of ‘or’ (inclusive or exclusive) used in the following sentences:  You need your passport or IC to prove your identity. Inclusive  You can be with her, or you can be with me. exclusive  Either France of Croatia will win the match. exclusive; (F v C) &~(F v C)

a. Why we use the wedge to represent the inclusive or i. How to represent the exclusive or b. Another use for ‘v’ i. Two ways to translate “unless”

~W  P c. Yet another use for “v” i. Neither nor: ii. ~(M v D) = ~M & ~D

Implication a. The material conditional is weird b. The rule of thumb for “if” and “only if” i. If: incidence ii. Only if: consequenctial c. Sufficient and Necessary conditions *Sufficient Condition: Something (X) is a sufficient condition for something else (Y) when X’s being true is enough to get Y to be also

*Necessary Condition: Something (X) is a necessary condition for something else (Y) when X’s being true is required in order to get Y to be true also

  • Equivalence a. Defining things

(if and only if ) b. IFF

  • Multiple Choice

Course : Logic and Critical Thinking (HY5002)

University : nanyang technological university.

hy5002 logic & critical thinking

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COMMENTS

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