Sentence examples for asserted to exist from inspiring English sources

Failure to find the cause the theory asserts to be there will in general not require the rejection of the theory: the claim is an existence claim, and a failure to find something asserted to exist does not refute that claim; perhaps one has not looked hard enough.

In the other direction, one generally starts with a model of ZFC+φ and then constructs an inner model (a model resembling L but able to accommodate large cardinal axioms) that contains the large cardinal asserted to exist by Φ.

This was particularly objectionable to mathematicians of a "constructive" bent such as the so-called French Empiricists Baire, Borel and Lebesgue, for whom a mathematical object could be asserted to exist only if it can be defined in such a way as to characterize it uniquely.

However, by Tarski's undefinability result, no such truth-predicate exists.[78] So there must be a model of ZFC and a sentence φ true in that model such that φ* is false: not all 'Skolem functions' asserted to exist by φ* actually exist in the model.

Rather, ultimate theories about the nature of reality would emerge and the entities within these theories would be asserted to exist as a result of the convergent discoveries of the community of practitioners of the scientific method as they approached the asymptotic limit of the process of scientific inquiry.

6, 7 This scenario is asserted to exist as older adults in such residential institutions are mostly from rural areas with poor education, already lower financial support, and poor social- and family-supported backgrounds.

It is therefore natural to extend the word materialist beyond the above paradigm case (of mechanical materialism) to cover anyone who bases his theory on whatever it is that physics asserts ultimately to exist.

For one thing, Hilbert was very clear (especially in his unpublished lectures on geometry: see Hallett and Majer 2004) that, although a domain is asserted to 'exist', all that is known about the objects in the domain is what is given to us by the axioms and what can be derived from these through 'finite proof'.

Russian critics around 1910 were congratulating themselves that Russian music no longer had to assert its right to exist by sounding Russian.

Argument from moral order are based on the asserted need for moral order to exist in the universe.

Such an austerity program is the "conditionality" that the E.C.B. had to assert would exist in order to justify the large bailouts they are promising.