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  • How do you determine if a proposition is a tautology?

    One way to determine if a statement is a tautology is to make its truth table and see if it (the statement) is always true.
    Similarly, you can determine if a statement is a contradiction by making its truth table and seeing if it is always false.

  • How do you check if a statement is a tautology?

    A tautology is a statement that is always true, no matter what.
    If you construct a truth table for a statement and all of the column values for the statement are true (T), then the statement is a tautology because it's always true The famous saying 'I cannot tell a lie' may come to mind when studying tautologies.

  • Is P ∧ Q → P is a tautology?

    An implication is only considered false when the consequent can be false while the antecedant is true.
    However, P can not be false when both P and Q are true.
    Thus for all possible values of P and Q the implication, (P∧Q)→P, will be satisfied.
    It is a tautology.

  • Since [(p → q) ∧ (q → r)] → (p → r) is always T, it is a tautology.
    Since [p ∧ (p → q)] → q is always T, it is a tautology.
    Since [(p ∨ q) ∧ (p → r) ∧ (q → r)] → r is always T, it is a tautology.

13 jan. 2018 · To show that it is a tautology, find truth assignments that for p and q that makes the entire proposition true. Since this is possible only if  Autres questions
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