Noun
calculability (countable and uncountable, plural calculabilities)
The condition of being calculable
In the late 1990s Wilfried Sieg analyzed Turing's and Gandy's notions of "effective calculability" with the intent of "sharpening the informal notion, formulating its general features axiomatically, and investigating the axiomatic framework". Source: Internet
Post 1936 in Davis 1965:291 footnote 8 Rather, he regarded the notion of "effective calculability" as merely a "working hypothesis" that might lead by inductive reasoning to a " natural law " rather than by "a definition or an axiom". Source: Internet
Effective calculability: In an effort to solve the Entscheidungsproblem defined precisely by Hilbert in 1928, mathematicians first set about to define what was meant by an "effective method" or "effective calculation" or "effective calculability" (i. Source: Internet
Church uses the words "effective calculability" on page 100ff. Source: Internet
Since, as an informal notion, the concept of effective calculability does not have a formal definition, the thesis, although it has near-universal acceptance, cannot be formally proven. Source: Internet
The development of these ideas leads to the author's definition of a computable function, and to an identification of computability with effective calculability. Source: Internet