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Contraposition. In logic and mathematics, contraposition, or transposition, refers to the inference of going from a conditional statement into its logically equivalent contrapositive, and an associated proof method known as § Proof by contrapositive. The contrapositive of a statement has its antecedent and consequent inverted and flipped.
One valid argument form is known as modus ponens, not to be mistaken with modus tollens, which is another valid argument form that has a like-sounding name and structure. Modus ponens (sometimes abbreviated as MP) says that if one thing is true, then another will be. It then states that the first is true. The conclusion is that the second thing ...
The rules can be expressed in English as: The negation of "A and B" is the same as "not A or not B." The negation of "A or B" is the same as "not A and not B." or The complement of the union of two sets is the same as the intersection of their complements; The complement of the intersection of two sets is the same as the union of their ...
Contrapposto. A marble copy of Polykleitos ' Doryphoros, an early example of classical contrapposto. Contrapposto (Italian pronunciation: [kontrapˈposto]) is an Italian term that means "counterpoise". It is used in the visual arts to describe a human figure standing with most of its weight on one foot, so that its shoulders and arms twist off ...
In logic, a categorical proposition, or categorical statement, is a proposition that asserts or denies that all or some of the members of one category (the subject term) are included in another (the predicate term). [1] The study of arguments using categorical statements (i.e., syllogisms) forms an important branch of deductive reasoning that ...
In logic, proof by contradiction is a form of proof that establishes the truth or the validity of a proposition, by showing that assuming the proposition to be false leads to a contradiction. Although it is quite freely used in mathematical proofs, not every school of mathematical thought accepts this kind of nonconstructive proof as ...
Line art or line drawing is any image that consists of distinct straight lines or curved lines placed against a background (usually plain). Two-dimensional or three-dimensional objects are often represented through shade (darkness) or hue (color). Line art can use lines of different colors, although line art is usually monochromatic.
Amy Isenberg works on her art in a studio at the Johnson County Arts and Heritage Center as part of the Emerging Artists program. As with any art, the prices vary, from a $5 greeting card to an ...