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It is well known that giving some different approximations over finite cases is also as important as giving those over infinite cases.
Brouwer ascribed the belief in the general validity of PEM to an unwarranted projection from such finite cases (in particular, those arising from the application of finite mathematics to everyday phenomena) to the infinite.[6] The explicit observation that ¬¬(A ∨ ¬A) means that no absolutely unsolvable problem can be indicated was made in Heyting 1934 (p. 16).
Similar(58)
We first consider the finite case.
But no motivation for restriction composition to the finite case is offered.
In the finite case it makes sense to talk about small and large numbers compared to \(L\).
Using the same means, our proof method can easily carry over to the general finite case.
By the same way, our proof method easily carries over to the general finite case.
In this finite case, the extent to which evidence e supports a hypothesis h is the proportion of models for e in which h is true.
We call such structures "intensive" and provide deterministic and probabilistic axiomatizations in the finite case.
Note Although the problem mentioned above is indeed a convex feasibility problem, it is mainly referred to the finite case.
In the finite case, the distance to a static destination will somewhat increase (on average) during a waiting phase.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com