lecture notes9

# Solution converseifidonotgototownthenitisraining

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview:  is  the meaning of Exclusive Or (Xor). In p ⊕ q , one of p and q must be true, but not both. The truth table for ⊕ is:  p  q  p ⊕q  T  T  F  T  F  T  F  T  T  F  F  F   Implica1on    If p  and q  are propositions, then p →q is a conditional statement or  implication  which is read as “if p, then q ” and has this truth table:  p   q  p →q  T  T  T  T  F  F  F  T  T  F  F  T    Example: If p  denotes “I am at home.” and q  denotes “It is  raining.” then   p →q  denotes “If I am at home then it is  raining.”     In p →q , p  is the hypothesis (antecedent or premise) and q  is  the conclusion (or consequence).    Understanding Implica1on    In p →q there does not need to be any connection  between the antecedent or the consequent. The “meaning” of p →q depends only on the truth values  of p and q.     These implications are perfectly ﬁne, bu...
View Full Document

Ask a homework question - tutors are online