Concept

Parity (mathematics)

Overview

property of being an odd or even number

Overview adapted from Wikipedia (CC BY-SA 4.0; see the article history for authors).

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Odd numbers with odd yield even numbers in [Sidenote: C] plenty because of their unfailing fertility. The other powers of numbers and their distinctions cannot be now pursued in detail. However, the Pythagoreans called five “Marriage”, as produced by the union of the first male number and the first female.
Plutarch, Selected Essays of Plutarch, Vol. II.
States what Parity is.
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Again, nete is to hypate as 2:1; paramese to hypate as 3:2; and mese to hypate as 4:3. This, according to Aristotle, is the natural constitution of harmony, as regards its parts and its numbers. 24. But, according to natural philosophy, both harmony and its parts consist of even, odd, and also even-odd. Altogether it is even, as consisting of four terms; but its parts and proportions are even, odd, and even-odd. So…
Plutarch, Plutarch's essays and miscellanies, Vol. 1
States what Parity is.
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Two sets of four points each are defined as having the same anharmonic ratio, when (1) each set of four lies in one straight line, and (2) corresponding points of different sets lie two by two on four straight lines through a single point, or when both sets have this relation to any third set[123]. And reciprocally: Two sets of four straight lines are defined as having the same anharmonic ratio when (1) each set of…
Bertrand Russell, An essay on the foundations of geometry
States what Parity is.
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