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Finitary
Finitary In mathematics or logic, a finitary operation is one, like those of arithmetic ... general), and is so not prima facie finitary. In the logic proposed for quantum mechanics ... this in general cannot be considered a finitary operation. What fails to be finitary can be called infinitary. A finitary ...
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Talk:Finitary
Talk:Finitary What a nice development in such a ...
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Finitary boolean function
Finitary boolean function A finitary boolean function is a function of the ...
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Talk:Finitary boolean function
Talk:Finitary boolean function Notes & Queries Jon Awbrey 18 ...
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Hilbert's program
... charactersitc. The question of whether there are finitary consistency proofs of strong theories is difficult ... is no generally accepted definition of a "finitary proof". Most mathematicians in proof theory seem to regard finitary mathematics as being contained in Peano arithmetic ... case it is not possible to give finitary proofs of reasonably strong theories. On the ... Godel himself suggested the possibility of giving finitary consistency proofs using finitary methods that ...
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Matroid
... we mention the property that defines a finitary matroid: An infinite subset of E is ... a subset A of E in a finitary matroid M is defined to be A ... thing as the closure operator of a finitary matroid as defined by independent sets. Thus ... vectors of the vector space constitutes a finitary matroid, which is finite-dimensional if the ... in the same way, which is a finitary matroid because all cycles are finite, ...
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User:Jon Awbrey/Sandbox
... in the relational model for databases. A finitary relation or a polyadic relation — specifically ... math> In the special case of a finitary relation, for concreteness a k-place relation ... in the relational model for databases. A finitary relation or a polyadic relation — specifically ... L). In the special case of a finitary relation, for concreteness a k-place relation ...
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Variety (universal algebra)
... the commutativity law: Finitary analogues Since varieties are closed under arbitrary ... attempts have been made to develop a finitary analogue of the theory of varieties. A ... the taking of homomorphic images, subalgebras and finitary direct products. There is no general finitary counterpart to Birkhoff's theorem, but in ...
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Unbounded nondeterminism
... always finite. That is, the tree is finitary. Now König's lemma says that if every branch of a finitary tree is finite, then so it the ... sequences of a concurrent program is always finitary, since the alternatives may for example correspond ...
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Philosophy of mathematics
... mathematical systems from the assumption that the "finitary arithmetic" (a subsystem of the usual arithmetic ... any such axiom system would contain the finitary arithmetic as a subsystem, Gdel's theorem ... was a realist with respect to the finitary arithmetic. Later, he held the opinion that ...
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