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Sentenial Logic
ECU PHIL 1500 Intro to logic
Question | Answer |
---|---|
Compound sentences | when one sentence is a component of another sentence if, whenever the first sentence is replaced by any other declarative sentence it results in a new gramatically correct sentence |
John and Mary like cats | compound |
The exam is cancelled | simple |
Harry thinks the earth is flat | compound |
Carl is going to work | simple |
Carl is going to work and Gale is going to work | compound |
Sentential Operators | joins together two complete sentences into another sentence |
one-place sentenial operator | "it is not true that__" |
two-place sentenial operator | "__and__" |
Conjuntion | AND |
Disjuntion | OR |
Condiitonal | IF-THEN |
Biconditional | IF-AND-ONLY-IF |
Negation | NOT |
What is the major operator in a sentence? | The operator added last in the logical construnction of the sentence is the major operator |
How is AND symbolized? | "." |
How is OR symbolized? | "v" |
How is IF-THEN symbolized? | horseshoe |
How is IF-AND-ONLY-IF symbolized? | "≡" |
How is NOT symbolized? | ͊ |
(C∙B) | Cheney is Vice President and Bush is President |
(GvB) | Gore or Bush is VP |
Lieterman is president if and only if Gore is president | (L≡G) |
If Cheney is vice president then Bush is President | (C"horseshoe"B) |
͊(G∙B) | Not both Gore and Bush are president |
Both Dale and Erik are Chemistry majors | (D.E) |
How is a Disjunction expressed? | "or", "either__or__" |
What do prefixes like un, in, and non convey? | Negation |
Kyle is definately unqualified | ͊K |
If Vince drove then Willa read, and she read only if he drove | (V≡W) |
What are the synonyms for IF used in a conditional? | when, since, and provided that |