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2. Unity of opposites - Wikipedia

   en.wikipedia.org/wiki/Unity_of_opposites

   The unity of opposites (Latin; unio oppositorum) is the central category of dialectics, said to be related to the notion of non-duality in a deep sense. [1] It defines a situation in which the existence or identity of a thing (or situation) depends on the co-existence of at least two conditions which are opposite to each other, yet dependent on each other and presupposing each other, within a ...

3. Antithesis - Wikipedia

   en.wikipedia.org/wiki/Antithesis

   Antithesis (pl.: antitheses; Greek for "setting opposite", from ἀντι- "against" and θέσις "placing") is used in writing or speech either as a proposition that contrasts with or reverses some previously mentioned proposition, or when two opposites are introduced together for contrasting effect. [1][2] Antithesis can be defined as "a ...

4. Opposite (semantics) - Wikipedia

   en.wikipedia.org/wiki/Opposite_(semantics)

   Opposite (semantics) In lexical semantics, opposites are words lying in an inherently incompatible binary relationship. For example, something that is male entails that it is not female. It is referred to as a 'binary' relationship because there are two members in a set of opposites. The relationship between opposites is known as opposition.

5. Proof by contradiction - Wikipedia

   en.wikipedia.org/wiki/Proof_by_contradiction

   More broadly, proof by contradiction is any form of argument that establishes a statement by arriving at a contradiction, even when the initial assumption is not the negation of the statement to be proved. In this general sense, proof by contradiction is also known as indirect proof, proof by assuming the opposite, [2] and reductio ad impossibile.

6. Square of opposition - Wikipedia

   en.wikipedia.org/wiki/Square_of_opposition

   In term logic (a branch of philosophical logic), the square of opposition is a diagram representing the relations between the four basic categorical propositions. The origin of the square can be traced back to Aristotle 's tractate On Interpretation and its distinction between two oppositions: contradiction and contrariety.

7. Opposite group - Wikipedia

   en.wikipedia.org/wiki/Opposite_group

   Opposite group. This is a natural transformation of binary operation from a group to its opposite. g1, g2 denotes the ordered pair of the two group elements. *' can be viewed as the naturally induced addition of +. In group theory, a branch of mathematics, an opposite group is a way to construct a group from another group that allows one to ...