By James Edwin Creighton
This Elibron Classics version is a facsimile reprint of a 1905 variation via the Macmillan corporation, big apple.
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Additional resources for An Introductory Logic
Since the conclusion cannot be false, it is clear that it cannot be the case that the premisses are true while the concl usion is false. The following argument whic h has a tr uth-functionally uue conclusion is shown to be truth-functionally valid on a tru th table: 43 S2. 21 : EXERCISES Q A v - A A Q Q A v - A T T F F T F T F T F T F TT TT I 2 T F T F T he [nnh -func tional va lidity of any argu ment whatever in sente nce logic can be checked on a tr uth table. It does not matter whether th e prem isses seem to be unrc:lated to the conclusions, as is the case with t he twO arguments JUSt discussed.
10): The word for rhe '-' symbol. Carel (See p. 10): The word for the '1\' symbol. Vd (Sec p. 10): The word for the 'v' symbol. Horseshoe (See p. 10): The word for the '::::>' symbol. Triplebar (See p. 10): The word for the 'E' symbol. Object language (See p. 1 t ): Th e language being discussed. In this book, the object language is the symbolic language being explained. Metalanguage (See p. 11 ): The language used language. [Q discuss the object Mctathcory (See p. 12): Theory concerned with what can be shown about a logical system as opposed to what can be show n within a logical system.
1 4: DEFINING THE OPERATORS T he five tru th -fu nctional ope rators have ~e n int roduced as being ro ughly equivalent to certain English words or phrases. There are serious problems connec ted with defining some o f the terms of a natural language such as English. Fo( CX