Sentence examples for mathematical interpretations from inspiring English sources

Such mathematical interpretations are not meaning explanations.

(The first argument on mathematical interpretations, above, is essentially the same as this one).

Various mathematical interpretations (in the sense explained in section 1.2) of formalized intuitionistic logic and arithmetic have been proposed.

But then A′ cannot be a meaning explanation of A. It would therefore be a mistake to see in mathematical interpretations of intuitionistic systems ways to make the Proof Interpretation "rigorous" or "precise".

A challenging difficulty in solving the radial Dirac eigenvalue problem numerically is the presence of spurious (unphysical) eigenvalues, among the genuine ones, that are neither related to mathematical interpretations nor to physical explanations.

On other, more widespread views, the set of logical truths of a language of that kind can be identified with the set of sentences that are valid across a certain range of mathematical interpretations (where validity is something related to but different from the condition that all the sentences that are replacement instances of its form be true too; see below, section 2.3).

Some additional mathematical analysis shows that the stochastic differential equation (18) and its solution equation (19) have a precise mathematical interpretation.

Many of the problems of geophysics are analogous to those of astronomy because the subject studied is rarely under direct observation, and conclusions must be drawn largely on the basis of mathematical interpretation of physical measurements.

Although Huygens later rejected certain of the Cartesian tenets including the identification of extension and body, he always affirmed that mechanical explanations were essential in science, a fact that later was to have an important influence on his mathematical interpretation of both light and gravitation.

The basic mathematical interpretation of this concept is presented below.

He gave a mathematical interpretation to the cell assembly.