incommensurable background

incommensurable

/ɪnkəˈmɛnsjʊəɹəbəl/

Illustration incommensurable - Image 1

noun

Nombre irrationnel

An incommensurable value or quantity; an irrational number.

Examples :

"Pi, the ratio of a circle's circumference to its diameter, is a famous example of an incommensurable. "

Pi, le rapport de la circonférence d'un cercle à son diamètre, est un exemple célèbre de nombre irrationnel.

math number philosophy

Illustration incommensurable - Image 1

adjective

Incommensurable

Of two real numbers, such that their ratio is not a fraction of two integers.

Examples :

"The length of the diagonal of a square and the length of its side are incommensurable, meaning you can't express their ratio as a simple fraction. "

La longueur de la diagonale d'un carré et la longueur de son côté sont incommensurables, ce qui signifie que vous ne pouvez pas exprimer leur rapport sous forme de fraction simple.

math number science

Illustration incommensurable - Image 1

adjective

Premiers entre eux

(arithmetics) Of two integers, having no common integer divisor except 1.

Examples :

"The numbers 7 and 15 are incommensurable because their only common divisor is 1. "

Les nombres 7 et 15 sont premiers entre eux car leur seul diviseur commun est 1.

Illustration incommensurable - Image 1

adjective

Incommensurable, incomparable

Not able to be measured by the same standards as another term in the context.

Examples :

"The side and diagonal of a square are incommensurable with each other; the diameter and circumference of a circle are incommensurable."

Le côté et la diagonale d'un carré sont incommensurables l'un avec l'autre ; le diamètre et la circonférence d'un cercle sont incommensurables.

philosophy math logic science theory