Sentence examples for constructive content from inspiring English sources

The traditional route taken by mathematicians wanting to analyse the constructive content of mathematics is the one that follows classical logic; in order to avoid decisions, such as whether or not a real number equals 0, that cannot be made by a real computer, the mathematician then has to keep within strict algorithmic boundaries such as those formed by recursive function theory.

The only known proof (Specker's) of the axiom of infinity in NF has too little constructive content to allow a demonstration that INF (NF with a constructive instead of classical ambient logic) admits an implementation of Heyting arithmetic, but opinion is divided on whether or not this tells us that INF is significantly weaker than NF.

Even if no finitary consistency proof of arithmetic can be given, the question of finding consistency proofs is nevertheless of value: the methods used in such proofs, although they must go beyond Hilbert's original sense of finitism, might provide genuine insight into the constructive content of arithmetic and stronger theories.

In fact, I have encouraged rappers to eliminate derogatory language and put forth more constructive content.

This feedback was typically a mix of both positive and constructive content, identifying actions related to noteworthy case presentations, patient-centered communication, clinical reasoning or care delivery.

For, if those postulates are analytically true, then the anti-realist would expect to attain them by means of rules justifiable by appeal only to the constructive contents involved (see Rumfitt 1999).

But because nothing was done, the period was defined by Israel and the U.S. with no constructive Arab content provided.

Both type theory and explicit mathematics can be seen as expressing more directly the computational content of constructive mathematics.

Ask them for constructive feedback on the content and structure of your essay.

And as more of us choose to focus on constructive rather than destructive content, the power of the marketplace will take effect.

When constructive critique was provided, content almost exclusively related to team function rather than individual performance.