Sentence examples for principle of number from inspiring English sources

For Euclid, unity, or one, was a special sort of thing, not number but the origin, or principle, of number.

Aquinas accuses Ibn Sina of being deceived by the equivocity of the one, confusing the one that is convertible with being and the one that is the principle of number.

In discussing this he returns to the distinction he had drawn in Quodlibet VI, q. 16 between the kind of unity which serves as a principle of number and which is based on discrete quantity, and the kind that is convertible with being, transcendental unity.

The point for Aquinas is that the one that is convertible with being adds only something conceptual to being, i.e. the negation of division; whereas the one that is the principle of number adds something real, i.e. the relation to a measure, as a consequence of which the extension of the concept of being is narrowed down to the category of quantity.

The place of the concept of unity in the doctrine of the transcendentals is determined by two defining moments in particular: (i). the relation between transcendental and categorical unity, or metaphysical and mathematical unity, i.e. the one as the principle of number; (ii).

The Pythagorean idea of the one as the principle of numbers, and not as a number itself explains that God is the origin of beings, and not a being like others.

Jevons needs to bring in principles of number and theory of probability to deal with this matter.

Jevons' principles of number reflect his insistence that mathematics should be based on logic, not the other way round.

The Pythagoreans thus concluded that things were or were made of numbers and that the principles of numbers, the odd and the even, are principles of all things.

Following our previous work in [1, 32], we propose a transmitter switching policy to choose the suitable transmitter to send data with the principle of less number of switches.

Using the strong principle of large number, we obtain lim _{trightarrowinfty}frac{M t)}{t}=0, quadtext{almost surely}, and lim _{trightarrowinfty}frac{ln{x_{0}}}{t}=0, quadtext{almost surely}.