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.
We define the class \(\mathcal{F}\) of functions definable by limited recursion on notation to be the least class containing \(\mathcal{F}_0\) and closed under composition and the foregoing scheme.
Another informal such paradoxical situation is obtained if we define an integer to be the "least integer not definable in less than 100 words".
Of the £375bn the Bank of England created to "keep markets liquid" in the process of quantitative easing, with no definable result.
It argues that there is indeed a definable investor class, with distinctive priorities notably a preference for school vouchers, tax cuts and less regulation.
Normal politics is now resuming; Labour is again a definable alternative to the Conservative-Liberal Democrat coalition.
"They own that market," says Charlene Li of Forrester, a consultancy.This is due in large part to GlobalSpec's definable customer base.
Danny Allan Cordunerr), a dentist with a definable gift for Jewish jokes, and his loving wife Rachel Caroline Gruberr), who was born on an Israeli kibbutz, are jolted out of their Guardian-reading daily routine by the shift toward religion of their layabout son, Josh Ben Caplann), a 28-year-old maths graduate who still lives at home.
There are plenty of equally definable people in a similarly definable plight in other parts of the world.
For a few hours, the government itself seemed headless, as the secret services spirited away the president and leaders of Congress to secure, secret spots.Yet the assault of September 11th presents America not with a military challenge of the old definable sort but with a dilemma of a new type.
