Sentence examples for should be definable from inspiring English sources

For example, the French analysts Baire, Borel and Lebesgue criticised the Axiom of Choice on the basis of a definabilist methodology, according to which the existence of an object depends on its definability: functions should be definable rules, membership of a set should given in a definable way, etc.

He pointed out that the definition of the number N refers to the totality of definable reals, to which N itself belong; but no object should be definable in terms of a collection containing it.

Such pre-coordinated terms, which are typical for medical classification systems, should be definable in terms of the primitives provided by the reference terminology.

Many different pathways may be followed simultaneously by various lineages within a single population (in different colonies), but for each developed cell type in that population (each colony), a single particular pathway should be definable.

We used different definitions of short duration because the Ismail-Beigi strategy does not have a conventional target, and thus, the A1C target for each individual should be definable by clinical characteristics.

In principle, the focality of an FDG uptake visualised on 2D maximum intensity projections should mathematically be definable even in 3D.

If these parts are, in turn, definable, then each should be replaced, in the definition of man, with its own definition, and so on.

Similarly, if we prove an existential statement, then we should be able to prove that a witness to that statement is definable within our theory.

All cancer surgery should be an exercise in morbid anatomy — the excision of a block of tissue which is definable by and teachable to surgeons.

Given that there is a definable risk associated with exercise in patients with cardiovascular disease, guidelines for physical activity and exercise training should be formulated in such a way as to reduce the likelihood of exercise-related complications.

Ecosystems are definable units in a biosphere; as such they should contain both biotic (living) and abiotic (non life-supporting) constituents acting together as a whole.