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true
Law of Detachment
by switching the truth values of the hypothesis and conclusion, it is called the contrapositive of the original statement. The contrapositive of a true conditional statement will also be true, while the contrapositive of a false conditional statement will also be false.
Determine the conclusion in this conditional statement. if Larry is in the band then he likes music?
A conditional statement may or may not be true.
true
Law of Detachment
by switching the truth values of the hypothesis and conclusion, it is called the contrapositive of the original statement. The contrapositive of a true conditional statement will also be true, while the contrapositive of a false conditional statement will also be false.
the .... of a conditional statement is found by switching the hypothesis and conclusion .
Suppose H is true the H or not H is true.Suppose H is false. Then not H is true and therefore H or not H is true.Therefore, in either case, the conclusion "H or not H" is always true.A conditional statement is false if the condition is true but the conclusion is false. Here the latter cannot happen and so the conditional statement is always true.
If a conditional statement is true then its contra-positive is also true.
Determine the conclusion in this conditional statement. if Larry is in the band then he likes music?
A conditional statement may or may not be true.
The part of a conditional statement following the word "then" is the consequent. It is the action or outcome that will occur if the condition specified in the statement is met.
Hypothesis followed by a conclusion is called an If-then statement or a conditional statement.
Given a conditional statement of the form:If "hypothesis" then "conclusion",the inverse is:If "not hypothesis" then "not conclusion".
Converse