Sentence examples for consistency of a system from inspiring English sources

Hilbert also saw (again, dimly) that the consistency of a system of higher mathematics entails that this system is at least partially arithmetically sound.

This is usually stated briefly thus: that no interesting system can prove its own consistency or that there exists no consistency proof of a system that can be formalized in the system itself.

The two central questions of metalogic are those of the completeness and consistency of a formal system based on axioms.

For inputs and outputs with finite sets of values this criterion translates into a test of consistency of a certain system of linear equations and inequalities (Linear Feasibility Test) which can be performed by means of linear programming.

The earlier example of 'state incapacity by design' in Bihar illustrates that the mission consistency of the system as a whole can evolve or change.

However, keeping consistency between these UIs of a system from a visual (organisation, component style, etc).

However, keeping consistency between these UIs of a system from a visual (organisation, component style, etc.) and behavioral perspective is usually difficult.

This is gender performativity theory, the idea that gender is a kind of behavioral consistency both in and of a system.

This is gender performativity theory, the idea that gender is a kind of behavioural consistency both in and of a system.

John von Neumann, then visiting Göttingen, gave a corrected consistency proof for a system of the ε-formalism (which, however, did not include the induction axiom) in 1925 (published in 1927).

The first half leads to Gödel's theorem on consistency proofs, which says that if a system is consistent, then the arithmetic sentence expressing the consistency of the system cannot be proved in the system.