Sentence examples for given a formal system from inspiring English sources

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That a general answer is necessary is clear from the demands of Hilbert's proof theory, i.e., it is not to be expected that given a formal system of mathematics (or even a single sequence of formulas) one can "see" that it is consistent (or that it cannot be a genuine derivation of an inconsistency) the way we can see, e.g., that 11 + 111 = 111 + 11.

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Because of this, Bernanke has argued that the Fed should be given a formal mandate to regulate systemically important payments and settlement systems.

They envision, instead, a government in which religious authorities are given a formal role as advisers or consultants to the justice system, a system more in line with the mainstream school of Shiite political thinking in Iraq.

Of the nine resignations, three were given a formal police caution for checking the database "pertaining to an associate, altering own record on police system and checking third parties on police system not for a policing purpose".

It has yet to be given a formal scientific name.

He was taken ashore and given a formal burial.

Given a good formal system, a sentence σ is deducible from a set Σ only if the thought expressed by σ is in fact logically entailed by the thoughts expressed by the members of Σ. (This simply requires that one's axioms and rules of inference are well-chosen).

Despite the existence of binomial nomenclature, which is a formal system for giving names to species of living things, each country or community has its own collection of common names.

This claim depends on the reasonable and widely accepted assumption that all that is required of the axioms of a formal system is that they make it possible to decide effectively whether a given sentence is an axiom.

It included measures that created a formal system of checks and balances for developing and approving projects, and that gave authority to the Ministry of Finance to block projects that are not fiscally responsible.

A formal system for euclid's Elements.

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