LN3(Logic 2)(1) - LOGIC 1 Truth table A proposition may...

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LOGIC 1
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Truth table A proposition may consist of other propositions. The truth value of this proposition may change depending on the truth values of the other propositions it is made of. The truth values for all possible cases are displayed in tabular form called the truth table of the proposition. Example. The proposition is composed of only one proposition . The truth table of is shown below. T F F T T F F T
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Binary logical operators We will now introduce some binary operations Definition . Let and be propositions. Then we can combine them in any of the following ways (binary operations): Conjunction “ and ”, denoted by Disjunction “ or ”, denoted by Exclusive or “Exactly one of or ”, denoted by Implication “If , then ”, denoted by Biconditional “ if and only if ”, denoted by Exclusive or Implication Biconditional
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The binary operations we have just introduced will be formally defined in terms of their truth tables.
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