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Show that if S is a proposition, w here S is the
Chapter 1, Problem 16E(choose chapter or problem)
Show that if S is a proposition, w here S is the conditional statement "If S is true. then unicorns live," then "Unicorns live' is true. Show that it follows that S cannot be a proposition. (This paradox is known as LÖb's paradox.)
Questions & Answers
QUESTION:
Show that if S is a proposition, w here S is the conditional statement "If S is true. then unicorns live," then "Unicorns live' is true. Show that it follows that S cannot be a proposition. (This paradox is known as LÖb's paradox.)
ANSWER:Solution: Step-1: In this statement we need to show that the given conditional statement (S) cannot be a proposition(where S is a conditional statement ). Given : If S is true, then unicorn live , ‘then’ unicorns live is true. If S is true: The given statement “ If S is true , then unicorn live ”.which is a true statement . But we know that “