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Opposites may be viewed as a special type of incompatibility. [1] Words that are incompatible create the following type of entailment (where X is a given word and Y is a different word incompatible with word X): [2] sentence A is X entails sentence A is not Y [3] An example of an incompatible pair of words is cat : dog:
A contronym is a word with two opposite meanings. For example, the word cleave can mean "to cut apart" or "to bind together". This feature is also called enantiosemy, [1] [2] enantionymy (enantio-means "opposite"), antilogy or autoantonymy. An enantiosemic term is by definition polysemic.
An antithesis must always contain two ideas within one statement. The ideas may not be structurally opposite, but they serve to be functionally opposite when comparing two ideas for emphasis. [4] According to Aristotle, the use of an antithesis makes the audience better understand the point the speaker is trying to make. Further explained, the ...
An example of this is that one cannot conceive of 'good' if we do not understand 'evil'. [5] Typically, one of the two opposites assumes a role of dominance over the other. The categorization of binary oppositions is "often value-laden and ethnocentric", with an illusory order and superficial meaning. [6]
Dialetheism (/ d aɪ ə ˈ l ɛ θ i ɪ z əm /; from Greek δι-di-'twice' and ἀλήθεια alḗtheia 'truth') is the view that there are statements that are both true and false. More precisely, it is the belief that there can be a true statement whose negation is also true.
In mathematics, a duality, generally speaking, translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one-to-one fashion, often (but not always) by means of an involution operation: if the dual of A is B, then the dual of B is A. Alexander duality; Alvis–Curtis duality; Artin–Verdier duality
In mathematics, a negative number is the opposite of a positive real number. [1] Equivalently, a negative number is a real number that is less than zero. Negative numbers are often used to represent the magnitude of a loss or deficiency. A debt that is owed may be thought of as a negative asset.
In category theory, a branch of mathematics, duality is a correspondence between the properties of a category C and the dual properties of the opposite category C op.Given a statement regarding the category C, by interchanging the source and target of each morphism as well as interchanging the order of composing two morphisms, a corresponding dual statement is obtained regarding the opposite ...