Download A -Statistical extension of the Korovkin type approximation by Erkus E., Duman O. PDF

By Erkus E., Duman O.

During this paper, utilizing the idea that ofA-statistical convergence that's a regular(non-matrix) summability strategy, we receive a normal Korovkin style approximation theorem which issues the matter of approximating a functionality f via a series {Lnf } of confident linear operators.

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It is from Leibniz too that Wolff, Baumgarten, and Kant derive the idea that the omnimoda determinatio of a concept is what makes it the concept of a par¬ ticular thing rather than of a universal, and constitutes the prin¬ ciple of individuation for that thing: It is the nature of an individual substance, or complete being, to have a notion so complete that it is sufficient to contain, and render deducible from itself, all the predicates of the subject to which this notion is at¬ tributed. On the other hand, an accident is a being whose notion does not include all that can be attributed to the subject to which this notion is attributed.

Here as elsewhere, however, possibility for Kant means thinkability and expresses a relation between a thing and the mental faculty 37. Critique of Pure Reason, A 231£/B 284f. [48] KANT'S RATIONAL THEOLOGY which considers it. Absolute possibility, as we have seen, is a concept of reason, and therefore expresses the thinkability of a thing by mere reason, apart from any conditions of the empirical use of the understanding. To think an object is always to form a concept of it. "38 Strictly speaking, however, this account ap¬ plies only to empirical concepts and to the schematized cate¬ gories, that is, to concepts through which knowledge of objects is possible.

The "priority" ascribed to the idea of the infinite is not a temporal one. Rather, the claim is that the idea of God is somehow implicit in or presupposed by our concepts of less perfect things, whether or not this presup¬ position is explicitly recognized. Kant, in fact, is concerned pre¬ cisely with the way in which reason generates this idea in its attempt to think "the unconditioned" in relation to what is given as conditioned in our experience. The Cartesian argument is based on the principle that the con¬ cepts of negative properties presuppose concepts of positive ones: to have the concept of what is not F, one must also have the concept of F.

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