Wednesday, 11 May 2011

Symbolic Logic, D. Jacquette, Wadsworth, 2001, Chpt. 8, IV(15), p. 435

The argument:

"Something is costly and something is free. Something is prohibitively expensive only if nothing is free. As a result, nothing is prohibitively expensive."

The proof:
  1. (∃x)Cx • (∃x)Fx
  2. (∃x)(Px• Cx) ¬ (∃x)Fx
  3. ¬ (∃x)(Px• Cx)
  4. (∃x)Fx ......... 1 Simp.
  5. ¬ (∃x)(Px• Cx) ......... 4,2 MT

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