1)Determine which of the following sentences are truth-functionally compound. Re

Question

1)Determine which of the following sentences are truth-functionally compound. Remember that if the major operator is not truth functional, then the sentence is truth functionally simple, rather than compound, and must be symbolized using single capital letter. 2) For the sentences that are truth-functionally compound, pick out and abbreviate their (truth functionally) simple components, and then (3) symbolize the sentence.
a) Humans are descended from either small primates or great apes
b) People like to drive automobiles because it gives them a sense of freedom
c) If high speed trains are developed, then automobile use will decrease

Explanation / Answer

a) Humans are descended either from small primates or great apes.                      P = Humans are descended from small primates                      A = Humans are descended from great apes              Either P or A.          symbolically, P V A _________________________________________________________________ b) People like to drive automobiles because it gives them a sense of freedom.      Not a truth functional compound. Must be symbolized as a simple sentence. _________________________________________________________________ c) If high-speed trains are developed, then automobile use will decrese.               H = High-speed trains are developed.               A = Automobile use will decrese.        If H, then A.     

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