Sentence examples for order of rational from inspiring English sources

They were chatting about Wittgenstein's idea that every proposition had to have a precise place in the axiomatic order of rational language, independently of the various contexts in which it may be employed.

Just as there is an order of rational knowledge, with its 'degrees,' there are degrees of suprarational knowledge — of a higher wisdom — that is beyond 'natural knowledge.' These are, on the one hand, 'the science of revealed mysteries' or 'theological wisdom' and, on the other, 'mystical theology.' Here, Maritain's debt to Augustine and John of the Cross is particularly evident.

While God is not the first but the last concept in the order of rational knowledge, after the knowledge of creatures, He is the first object of natural knowledge, which is had in the first intentions and in which our intellect always proceeds from what is most indeterminate.

Loyalty to your faith will be a matter of private preference... but cannot stand alongside loyalty to the state, to the supposedly neutral public order of rational persons.

In this paper, we derive the bounds on the magnitude of lth (l= 2,3) order derivatives of rational Bézier curves, estimate the error, in the L∞ norm sense, for the hybrid polynomial approximation of the lth (l= 1,2,3) order derivatives of rational Bézier curves.

This construction of the real numbers uses the ordering of rationals less directly.

He seems to have been the first to recognize that the property of density, possessed by the ordered set of rational numbers, is insufficient to guarantee continuity.

In this paper, we study the equilibrium points, local asymptotic stability of an equilibrium point, instability of equilibrium points, periodicity behavior of positive solutions, and global character of an equilibrium point of a fourth-order system of rational difference equations of the form.

In the ramified hierarchy, if C is a class of first-order classes of rationals, then L will be a second-order class of rationals.

Instead, moral goodness combines knowledge of the rational order with the active promotion of rational order as far as possible.

Here we present a new approach to search for first order invariants (first integrals) of rational second order ordinary differential equations.