Sentence examples for mathematical statements and from inspiring English sources

In addition, mathematics has a metalanguage; that is, names for mathematical statements and other parts of syntax, self-reference, proof and truth.

Brief physics-based mathematical statements and numerical strategies of the model will be given.

Language is used to express judgments about all manners of topics—about velocities of objects, about historical facts, about mathematical statements—and in these contexts statements that purport to express judgments are interpreted as statements that in fact express judgments.

In the above-mentioned works [ 23, 25, 45, 64, 79] only concise formulations are provided, while in this section we give mathematical statements and proofs to describe the two problems on the case when only gene duplication, loss, and divergence during speciation are the considered evolutionary events.

The mathematical statement and the solution of the problem are obtained using the theory of superposition of large strains.

He felt that once this was done, there would be an "effective procedure", i.e., an algorithm that would take as input any precise mathematical statement, and, after a finite number of steps, decide whether the statement was true or false.

k Thompson himself states in On Growth and Form: "My sole purpose is to correlate with mathematical statement and physical law certain of the simpler outward phenomena of organic growth and structure or form, while all the while regarding the fabric of the organism, ex hypothesi, as a material and mechanical configuration.

Probabilistic descriptions of uncertainty help avoid linguistic uncertainty, because mathematical statements avoid ambiguity and vagueness and the context is also usually explicit.

On the platonist view, there are obvious truth-makers for mathematical statements: mathematical objects and their corresponding properties and relations (Benacerraf 1973).

This means two things: mathematical statements are general, and they are confirmed by proof.

For although truth-value realism claims that mathematical statements have unique and objective truth-values, it is not committed to the distinctively platonist idea that these truth-values flow from an ontology of mathematical objects.