Sentence examples for mathematical statement to from inspiring English sources

A frame consists of a title, a list of findings necessary to make a decision or carry out an action, and a logic or mathematical statement to determine its output.

In fact, Gödel himself, in his completeness theorem, had shown that for a mathematical statement to be provable it is necessary and sufficient that it be true in every model.

As Hilbert had put it, was there a definite method, a mechanical process that could be applied to a mathematical statement … to determine if or not it was provable?

Applied to a true mathematical statement, at least one that the platonist recognizes as true, the result will be a true statement even according to the mathematical fictionalist.

A nice example is Geoffrey Hellman's modal nominalism, according to which mathematical statements committed to the existence of abstract objects are to be eliminated in favor of statements about the possible existence of concrete objects.

The only way to avoid this apparent inconsistency is to suppose that to 'accept' a statement sanctioned by mathematical practice a statement to which the autonomous practice of mathematics gives the thumbs-up does nothumbs-up doeskinotit amounte.

And Ludwig Wittgenstein, in his Remarks on the Foundations of Mathematics (1956), can be seen as recommending a noncognitivist approach to logical and mathematical statements, according to which they do not record truths of some special kind but rather express rules which regulate the use of more ordinary or empirical statements.

Broader philosophical issues concerning meaning and evidence for mathematical statements come to the fore here.

Nominalist attempts to paraphrase or reinterpret mathematical statements so as to eliminate all apparent commitment to numbers, sets, or other abstracta may likewise be viewed as a species of reductive antirealism.

It was difficult to assign political meaning to a mathematical statement".

Clausius's definition of entropy led directly to a mathematical statement of the second law of thermodynamics (Klein 1910): dS dt ?