Crossword Solver > found answer > CONTRAP

Welcome to Anagrammer Crossword Genius! Keep reading below to see if contrap is an answer to any crossword puzzle or word game (Scrabble, Words With Friends etc). Scroll down to see all the info we have compiled on contrap.

CROSSWORD
ANSWER

contrap

Searching in Crosswords ...

The answer CONTRAP has 1 possible clue(s) in existing crosswords.

Searching in Word Games ...

The word CONTRAP is NOT valid in any word game. (Sorry, you cannot play CONTRAP in Scrabble, Words With Friends etc)

Searching in Dictionaries ...

Definitions of contrap in various dictionaries:

CONTRAP - In logic, contraposition is an inference that says that a conditional statement is logically equivalent to its contrapositive. The contrapositive of ...

Word Research / Anagrams and more ...

Keep reading for additional results and analysis below.

Possible Crossword Clues
Rube Goldberg machines, e.g

Last Seen in these Crosswords & Puzzles
Jan 30 2022 New York Times

Contrap might refer to
In logic, contraposition is an inference that says that a conditional statement is logically equivalent to its contrapositive. The contrapositive of the statement has its antecedent and consequent inverted and flipped: the contrapositive of * * * * P * → * Q * * * {\displaystyle P\rightarrow Q} * is thus * * * * ¬ * Q * → * ¬ * P * * * {\displaystyle \neg Q\rightarrow \neg P} * . For instance, the proposition "All cats are mammals" can be restated as the conditional "If something is a cat, then it is a mammal". Now, the law says that statement is identical to the contrapositive "If something is not a mammal, then it is not a cat." * The contrapositive can be compared with three other relationships between conditional statements:* Inversion (the inverse), * * * * ¬ * P * → * ¬ * Q * * * {\displaystyle \neg P\rightarrow \neg Q} * * "If something is not a cat, then it is not a mammal." Unlike the contrapositive, the inverse's truth value is not at all dependent on whether or not the original proposition was true, as evidenced here. The inverse here is clearly not true. * Conversion (the converse), * * * * Q * → * P * * * {\displaystyle Q\rightarrow P} * * "If something is a mammal, then it is a cat." The converse is actually the contrapositive of the inverse and so always has the same truth value as the inverse, which is not necessarily the same as that of the original proposition. * Negation, * * * * ¬ * ( * P * → * Q * ) * * * {\displaystyle \neg (P\rightarrow Q)} * * "There exists a cat that is not a mammal. " If the negation is true, the original proposition (and by extension the contrapositive) is false. Here, of course, the negation is false.Note that if * * * * P * → * Q * * * {\displaystyle P\rightarrow Q} * is true and we are given that Q is false, * * * * ¬ * Q * * * {\displaystyle \neg Q} * , it can logically be concluded that P must be false, * * * * ¬ * P * * * {\displaystyle \neg P} * . This is often called the law of contrapositive, or the modus tollens rule of inference.

Contrap might refer to

In logic, contraposition is an inference that says that a conditional statement is logically equivalent to its contrapositive. The contrapositive of the statement has its antecedent and consequent inverted and flipped: the contrapositive of
*
*
*
* P
* →
* Q
*
*
* {\displaystyle P\rightarrow Q}
* is thus
*
*
*
* ¬
* Q
* →
* ¬
* P
*
*
* {\displaystyle \neg Q\rightarrow \neg P}
* . For instance, the proposition "All cats are mammals" can be restated as the conditional "If something is a cat, then it is a mammal". Now, the law says that statement is identical to the contrapositive "If something is not a mammal, then it is not a cat."
* The contrapositive can be compared with three other relationships between conditional statements:* Inversion (the inverse),
*
*
*
* ¬
* P
* →
* ¬
* Q
*
*
* {\displaystyle \neg P\rightarrow \neg Q}
*
* "If something is not a cat, then it is not a mammal." Unlike the contrapositive, the inverse's truth value is not at all dependent on whether or not the original proposition was true, as evidenced here. The inverse here is clearly not true.
* Conversion (the converse),
*
*
*
* Q
* →
* P
*
*
* {\displaystyle Q\rightarrow P}
*
* "If something is a mammal, then it is a cat." The converse is actually the contrapositive of the inverse and so always has the same truth value as the inverse, which is not necessarily the same as that of the original proposition.
* Negation,
*
*
*
* ¬
* (
* P
* →
* Q
* )
*
*
* {\displaystyle \neg (P\rightarrow Q)}
*
* "There exists a cat that is not a mammal. " If the negation is true, the original proposition (and by extension the contrapositive) is false. Here, of course, the negation is false.Note that if
*
*
*
* P
* →
* Q
*
*
* {\displaystyle P\rightarrow Q}
* is true and we are given that Q is false,
*
*
*
* ¬
* Q
*
*
* {\displaystyle \neg Q}
* , it can logically be concluded that P must be false,
*
*
*
* ¬
* P
*
*
* {\displaystyle \neg P}
* . This is often called the law of contrapositive, or the modus tollens rule of inference.

Anagrammer Crossword Solver is a powerful crossword puzzle resource site. We maintain millions of regularly updated crossword solutions, clues and answers of almost every popular crossword puzzle and word game out there. We encourage you to bookmark our puzzle solver as well as the other word solvers throughout our site. Explore deeper into our site and you will find many educational tools, flash cards and plenty more resources that will make you a much better player. This page shows you that Rube Goldberg machines, e.g is a possible clue for contrap. You can also see that this clue and answer has appeared in these newspapers and magazines: January 30 2022 New York Times . Contrap: In logic, contraposition is an inference that says that a conditional statement is logically equival...