A Modern Logician Said:. By the aid of symbolism, we can make transitions in reasoning almost mechanically by eye, which otherwise would call into play the higher faculties of the brain. Symbolic Logic: The Language of Modern Logic. Technique for analysis of deductive arguments
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Technique for analysis of deductive arguments
English (or any) language: can make any argument appear vague, ambiguous; especially with use of things like metaphors, idioms, emotional appeals, etc.
Avoid these difficulties to move into logical heart of argument: use symbolic language
Now can formulate an argument with precision
Symbols facilitate our thinking about an argument
These are called “logical connectives”
Given any two statements, p and q
A conjunction is true if and only if both conjuncts are true
Where p is any statement, its negation is ~p
A (weak) disjunction is false only in the case that both its disjuncts are false
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