Sentence examples for arithmetical models from inspiring English sources

The arithmetical models used by Meyer-Mortensen later proved to allow inconsistent representation of the truth predicate.

Recently, these inconsistent arithmetical models have been completely characterised by Graham Priest; that is, Priest showed that all such models take a certain general form.

Both \(\mathsf{LPP}\) and \(\mathsf{GLA}\) enjoy completeness relative to the class of arithmetical models, and also relative to the class of possible world justification models.

This type of algorithm mined out the TRPs for the given TFPE-inferred indirect regulatory pairs based on the arithmetical modeling of the confidence of the TF-gene binding pairs or the protein protein interaction pairs.

This model is an arithmetical word problem model that is solved by one arithmetical operation composed of three quantities: operand, operand, and result quantity.

As practical and illustrative examples of two different areas of the engineering sciences, the fuzzy arithmetical approach to comprehensive modeling and analysis of uncertain systems is applied to the simulation of automotive crash in structural dynamics as well as to the simulation of landslide failure in geotechnical science and engineering.

According to him, Schröder's idea of solving a relational equation was a precursor of Skolem functions, and Schröder inspired Löwenheim's formulation and proof of the famous theorem that every "arithmetical" sentence with an infinite model has a countable model.

Of course solving arithmetical problems in arithmetic is in some cases practically impossible.

Namely, it is possible to conclude that any theory F satisfying the conditions of the theorem must possess, in addition to the intended interpretation or "standard model" (in the case of arithmetical theories, the structure of natural numbers), non-intended interpretations or "non-standard models"—that no such theory can rule out the latter and fix uniquely the intended interpretation.

The following example is a typical arithmetical problem that is expressed by the triplet structure model in a combination story: {There are 3 white rabbits (first existence sentence).

Consider, for example, simple arithmetical truths such as the proposition that 2+2=4.