If and only if - Wikipedia, the free encyclopedia
↔ ⇔ ≡ logical symbols representing iff. If and only if, in logic and fields that rely on it such as mathematics and philosophy, is a logical connective between statements which means that the t...
en.wikipedia.org/wiki/If_and_only_if
In logic and mathematics, logical biconditional (sometimes also known as the material biconditional) is a logical operator connecting two statements to assert, p if and only if q where p is a hypothesis (or antecedent) and q is a conclusion (or consequent). The operator is denoted using...
en.wikipedia.org/wiki/Logical_biconditional
Many theorems are stated in the form "P, if, and only if, Q". Another way to say the same things is: "Q is necessary, and sufficient for P". This means two things: "If P, Then Q" and "If Q, Theorem. If a is an integer, then a is not evenly divisible by 3 if, and only if, a2 -1 is evenly divisble by 3.
zimmer.csufresno.edu/~larryc/proofs/proofs.ifandonlyif.... zimmer.csufresno.edu/~larryc/proofs/proofs.ifandonlyif.html
iff if and only if Biconditional...
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michael j rugnetta. Audio Video Some Friends
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The only argument I know of that shows that the statements “A implies B” and “not A implies not B” together imply “A is equivalent to B” uses the Law of the Excluded Middle. Trackback URL for this post: http://cosmicvariance.com/2008/01/12/hot-if-and-only-if-fly/trackback/
cosmicvariance.com/2008/01/12/hot-if-and-only-if-fly/ cosmicvariance.com/2008/01/12/hot-if-and-only-if-fly/
A biconditional is read as "[some fact] if and only if [another fact]" and is true when the truth values of both facts are exactly the same -- BOTH TRUE or BOTH FALSE. Definition: A triangle is isosceles if and only if the triangle has two congruent (equal) sides.
www.regentsprep.org/Regents/math/tables/bicon.htm · Cached
Marcel Luttgens: "if and only if" according to Elementary Luttgens Algebra (16-Nov-2002)
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3. Where can I find the Enya: The Video Collection DVD? In 2001, the DVD was released only in region 2. It was on the shelves for a number of weeks and it stopped selling because a newer version was being planned - a remaster of the music videos in 5.1 Surround Sound.
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