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In logic and mathematics, the converse of a categorical or implicational statement is the result of reversing its two constituent statements. For the implication P → Q, the converse is Q → P. For the categorical proposition All S are P, the converse is All P are S. Either way, the truth of the converse is generally independent from that of ...
The converse is "If a polygon has four sides, then it is a quadrilateral. " Again, in this case, unlike the last example, the converse of the statement is true. The negation is " There is at least one quadrilateral that does not have four sides.
Given a type E statement, "No S are P.", one can make the immediate inference that "No P are S" which is the converse of the given statement.; Given a type I statement, "Some S are P.", one can make the immediate inference that "Some P are S" which is the converse of the given statement.
In logic, a set of symbols is commonly used to express logical representation. The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics.
In propositional logic, affirming the consequent (also known as converse error, fallacy of the converse, or confusion of necessity and sufficiency) is a formal fallacy (or an invalid form of argument) that is committed when, in the context of an indicative conditional statement, it is stated that because the consequent is true, therefore the ...
converse domain In set theory and logic, the set of all elements that are related to any element of a given set under a specific relation. [72] converse barcan formula A principle in modal logic suggesting that possibility precedes existence, the converse of the Barcan formula. conversion
But, according to a few theorists, these two holes aren't so much for aesthetic purposes as they are for functionality. Some say the holes allow your feet to breathe easier.
The converse relation does satisfy the (weaker) axioms of a semigroup with involution: () = and () =. [12] Since one may generally consider relations between different sets (which form a category rather than a monoid, namely the category of relations Rel ), in this context the converse relation conforms to the axioms of a dagger category (aka ...