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(logic) an attribute of a logical system that is so constituted that a contradiction arises if any proposition is introduced that cannot be derived from the axioms of the system
Answer for the clue "(logic) an attribute of a logical system that is so constituted that a contradiction arises if any proposition is introduced that cannot be derived from the axioms of the system ", 12 letters:
completeness
Alternative clues for the word completeness
Word definitions for completeness in dictionaries
Wikipedia
Word definitions in Wikipedia
A knowledge base KB is complete if there is no formular α such that KB ⊭ α and KB ⊭ ¬α. Example of knowledge base with incomplete knowledge: KB := { A ∨ B } Then we have KB ⊭ A and KB ⊭ ¬A. In some cases, you can make a consistent knowledge base complete ...
The Collaborative International Dictionary
Word definitions in The Collaborative International Dictionary
Completeness \Com*plete"ness\, n. The state of being complete.
WordNet
Word definitions in WordNet
n. the state of being complete and entire; having everything that is needed [ant: incompleteness ] (logic) an attribute of a logical system that is so constituted that a contradiction arises if any proposition is introduced that cannot be derived from the ...
Wiktionary
Word definitions in Wiktionary
n. 1 the state or condition of being complete 2 (context logic English) The property of a logical theory that whenever a wff is valid then it must also be a theorem. Symbolically, letting ''T'' represent a theory within logic ''L'', this can be represented ...
Usage examples of completeness.
The completeness of it is a little surprising, because laboratory tests of planarian worms have established that conditioned reflexes carry over into the new growth.
I twitted her as I pushed myself back till I was crammed inside her to the very hilt, wanting that luxuriating completeness of being thoroughly and fully housed inside her warm narrow quivering grotto.
It is probable that, at the time, the Vendean general had no idea of the completeness of the victory that he had won, or of the disorganization of the enemy.
These payments were to be so made that the integrity, completeness, and success of the work would be their main condition.
That the chance was not delusive was sufficiently guaranteed by the completeness with which he could finally figure it out that, in case of his taking action, neither Ida nor Beale, whose book, on each side, it would only too well suit, would make any sort of row.
It achieves a great deal of completeness at the cost of being inconsistent or incoherent or uncertain, of having no tightly knit unifying regime or common principle.
As its concept, however, such as it is given, may contain many obscure representations which we pass by in our analysis, although we use them always in the practical application of the concept, the completeness of the analysis of my concept must always remain doubtful, and can only be rendered probable by means of apt examples, although never apodictically certain.
What we really insist on is this, that philosophical definitions are possible only as expositions of given concepts, mathematical definitions as constructions of concepts, originally framed by ourselves, the former therefore analytically (where completeness is never apodictically certain), the latter synthetically.
As a whole/part, there is thus a constant tension between coherency or consistency, on the one hand, and completeness, on the other.
Meanwhile, this most learned man confesses, as his opinion that the soul of the world and its parts are the true gods, from which we perceive that his theology (to wit, that same natural theology to which he pays great regard) has been able, in its completeness, to extend itself even to the nature of the rational soul.
The sight of these presents mollified the chieftain, who had, doubtless, been previously rendered considerate by the resolute conduct of the white men, the judicious disposition of their little armament, the completeness of their equipments, and the compact array of battle which they presented.
Its course showed that it was circling around Pertane, possibly checking the completeness of military positions.
Burkett wanted to impress the research director with the completeness of his investigation, but Nachman wasn’.
On many worlds it is well known, though on others the information is suppressed, that biological realities exist, such as dominance and submission, strength and vulnerability, reciprocal needs, jealousy, possessiveness, protectiveness, sexual dimorphism and its meaning, claimancy and command, behavioral genetics, readinesses to respond to sign stimuli, longings for completeness, the desire to belong to, and yield to, the master animal, and such.
For the sake of completeness, I must also mention a third preposterous fable, according to which my grandfather floated out to sea like a piece of driftwood and was promptly fished out of the water by some fishermen from Bohnsack who, once outside the three-mile limit, handed him over to a Swedish deep-sea fisherman.