GNED 1101 Chapter Notes - Chapter 1.1: Literary Modernism

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Chapter 1 Logic
Section 1.1
Statements
A statement is a sentence that is either true or false, but not both simultaneously
Sentences that are opinions, commands, or questions are not statements
In symbolic logic we use the lowercase letters p, q, r, s to represent statements
Complex Statements
Breaking down complex statements into smaller/simple situations
o How they connect determines the final outcome
o 2 statements can be;
Statement
1
Statement
2
True
True
False
False
True
False
False
False
Negating Statements
The negation of a statement is its opposite
The negation of a true statement is a false statement and the negation of a false
statement is a true statement
o The statement “hakespeare rote the teleisio series odera faily a e
egated as “hakespeare did ot rite the teleisio series oder faily.
o The stateet Today is ot Moday a e egated as Today is Moday
Negation of a statement is represented by
o Thus statements p, q, r, s, when negated are represented as p, q, r, s
o The symbol eas ot
o Represent statement P symbolically. p
Chiago O’Hare is the orld’s usiest airport
Express its negation in words
o Chiago O’Hare is ot the orld’s usiest airport
Quantified Statements
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Document Summary

A statement is a sentence that is either true or false, but not both simultaneously. Sentences that are opinions, commands, or questions are not statements. In symbolic logic we use the lowercase letters p, q, r, s to represent statements. Breaking down complex statements into smaller/simple situations: how they connect determines the final outcome, 2 statements can be; The negation of a statement is its opposite. Negation of a statement is represented by : thus statements p, q, r, s, when negated are represented as p, q, r, s, the symbol (cid:373)ea(cid:374)s (cid:862)(cid:374)ot(cid:863, represent statement p symbolically. Chi(cid:272)ago o"hare is the (cid:449)orld"s (cid:271)usiest airport. Express its negation in words: chi(cid:272)ago o"hare is (cid:374)ot the (cid:449)orld"s (cid:271)usiest airport. In english we frequently encounter statements containing the words all, some, or no (none). A statement containing one of these words is a quantified statement: examples;

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