Conditional statement logically equivalent

• [DOC File]Translate the following sentences into the standard (= “if ...

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  : The original conditional statement and the contrapositive of the original are logically equivalent statements and may be used interchangeably. p → q is logically equivalent to ~q → ~p. p → q may be replaced by ~q → ~p. ~q → ~p may be replaced by p → q. Key Point:

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• [DOC File]Equivalent Statements

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  Yes, these statements are logically equivalent. Because the biconditional of the these two statements is a tautology (the last column is all true).

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• [DOC File]www.radford.edu

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  The inverse of a statement is not logically equivalent to the statement. If a conditional statement is true, its inverse may or may not be true. Examples. What is the inverse of the statements in the last example? C. Answer the following three True/False questions. i) A conditional statement and its converse are logically equivalent.

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• [DOC File]Truth Tables, Tautologies, & Logically Equivalent Statements:

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  For example, in the conditional statement “Moby Dick is a whale only if Moby Dick is a mammal,” “only if” goes right before “Moby Dick is a mammal.” Thus “Moby Dick is a mammal.” is the consequent of the conditional statement. And that means that this statement is logically equivalent to the following statement put in standard form:

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• [DOC File]St. Francis Preparatory School

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  Sections 3.3 and 3.4: Conditional Truth Values, Logically Equivalent Statements, and Related Statements of the Conditional . Fall 2009. Part I: Determine whether each conditional is a true or a false statement. If Washington, DC is the capital of the United States, then …

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• [DOC File]Logic

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  The law of contrapositive states that a conditional statement is logically equivalent to its contrapositive. Create a statement that is logically equivalent to the following statement: If an animal is not a mammal, then it is not a bat. _____ If a polygon is a hexagon, then the sum of its interior angles is 720 degrees. ...

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• Review 1.2

  Thus ~ p V q and p → q are logically equivalent statements. In fact, ~ p V q is sometimes called the conditional equivalence because the statement ~ p V q can be used to replace the conditional statement p → q. This equivalence is verified by the tautology written biconditional statement in column 6. Try this example:

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• [DOC File]1 - University of Illinois at Chicago

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  The negation of a conditional statement is logically equivalent to a conjunction of the antecedent and the negation of the consequent. ~(p → q) is equivalent to p ⋀ ~q. Example 25. Which of the following statements is equivalent to the negation of “If you don’t grease the pan, then the food will stick to it” ? a.

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• [DOC File]SI202: Week 1

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  Notation: If statement p is equivalent to statement q, we write . Example 8: Show that is equivalent to . Solution: Example 9: Show that is equivalent to . Solution: Using Equivalent Statements to Rewrite Sentences. We can use equivalent statements to rewrite sentences that communicates the same statement logically. Common Equivalent Statements. 1.

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• [DOC File]Section 2 - Radford

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  Such a replacement is not allowed, however, because a conditional statement is not logically equivalent to its inverse.) 4. (10 marks) Answer whether the following statements are true or false: (True False) A conditional statement is not logically equivalent to its contrapositive.

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