Sentence examples for concepts of mathematics from inspiring English sources

Over the course of his life, Gottlob Frege formulated two logical systems in his attempts to define certain basic concepts of mathematics and to derive certain mathematical laws from the laws of logic.

Nor do the concepts of mathematics escape the 'pseudo' tag.

That has to do with real objects, with nature, its structures and forces, not with the abstract and artificial concepts of mathematics.

With the aid of certain fundamental concepts of mathematics, Fourier series expansion, and metaheuristic methods, ODEs can be represented as an optimization problem.

As he saw it, there is an unbridgeable gap between intuitively given continua (e.g., those of space, time and motion) on the one hand, and the discrete exact concepts of mathematics (e.g., that of real number) on the other.

As Weyl saw it, there is an unbridgeable gap between intuitively given continua (e.g. those of space, time and motion) on the one hand, and the "discrete" exact concepts of mathematics (e.g. that of natural number[13]) on the other.

Relying on the concepts of formal mathematics and linguistics, Radcliffe-Brown and other structuralists tried to determine whether in cultural anthropology it was possible to reveal that which "suggests the character of a system" beyond empirical reality and which "alone is the true object of science" (Lévi-Strauss).

One main achievement of early mathematical logic was precisely to show how to characterize notions of derivability and validity in terms of concepts of standard mathematics.

Another of the reasons is that the fact that the grammar and meaning of the artificial formulae is so well delimited has permitted the development of proposed characterizations of logical truth that use only concepts of standard mathematics.

All the fundamental concepts of engineering mathematics will gradually be introduced in a self-contained style with plenty of worked examples to aid the understanding of all important concepts.

And even among those who accept it, there is little if any agreement about what generic criteria determine the form of an arbitrary sentence.[1] A remarkable fact about logical truth is that many have thought it plausible that the set of logical truths of certain rich formalized languages is characterizable in terms of concepts of standard mathematics.