A contradiction comprises a pair of statements which make mutually inconsistent assertions.
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A contradiction comprises a pair of statements which make mutually inconsistent assertions.
Things that are opposite to each other are contradictions. Example: evolution is a contradiction to creationism.
An implicit contradiction, as opposed to an explicit contradiction, is hidden within the logical structure of the statement. If you figure it out, you will discover that there is a contradiction. Explicit contradictions don't have to be figured out, they merely have to be pointed out.
"But" can mean "hypothetically" or "in contradiction," and be replaced with "however" or "actually."
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.
There is no contradiction.
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