no it is not always true
To prove a statement by contradiction one begins by assuming the statement is not true. Contradiction is the act of giving the opposing something that you feel is not right.
Yes, because a variable cannot be both true and not true.
False(apex real answer) True. (apex FAKE ANSWER)
It's a contradiction . . . a statement that's not true.
2 must always equal 2. To have otherwise is a logical contradiction, and an impossibility.
Paradox
you just used it in a sentence! He always contradicts what I say!
To prove by contradiction, you assume that an opposite assumption is true, then disprove the opposite statement.
Prove that if it were true then there must be a contradiction.
To prove a statement by contradiction one begins by assuming the statement is not true. Contradiction is the act of giving the opposing something that you feel is not right.
No, it is an apparent contradiction that does not exist, except in faulty language or logic. People forget that just because something can be said, doesn't make it true.
an identity? maybe a tautology? Comment by mgately: In the field of discrete mathematics (simplified the study of logic) any expression which always evaluates to true is in fact called a tautology. While less cool sounding, an expression which always evaluates to false is just called a contradiction.
Yes, because a variable cannot be both true and not true.
true
TrueIt is true that the body of an indirect proof you must show that the assumption leads to a contradiction. In math a proof is a deductive argument for a mathematical statement.
TrueIt is true that the body of an indirect proof you must show that the assumption leads to a contradiction. In math a proof is a deductive argument for a mathematical statement.
true