infinitary in A Sentence

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    These functions and relations could be Infinitary.

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    They are finitary representations again of Infinitary objects.

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    they might be Infinitary.

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    their effects could be Infinitary. The moment you are trying to.

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    Some mathematical function or relation. These functions and relations could be Infinitary.

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    anything that is Infinitary is not part of the computational process with some restrictions.

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    Here is a case of our finitary specification as opposed to this Infinitary specification.

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    You have rules of inferential logic which are always finitary or they might be Infinitary.

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    9

    If you look at propositional logic, it does not allow you to specify Infinitary objects.

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    Objects are finitary but their effects could be Infinitary. The moment you are trying to.

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    Represent any Infinitary object in a finite manner you require it to be machine understandable

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    Of this set should satisfy. Here is a case of our finitary specification as opposed to this Infinitary specification.

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    13

    Like if you have axiom schemas, or rules like modes ponens etc. They are finitary representations again of Infinitary objects.

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    14

    Process period. We are interested in those kinds of Infinitary objects which somehow have finitary representations. It can be infinite sets represented as predicates like unary.

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    Represent any Infinitary object in a finite manner you require it to be machine understandable and you also require certain rules. Let us look at this process of essentially.

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    Binary, and ternary but some finitary sets with a finitary representation. We are interested in Infinitary computational processes which have finitary representations. We are interested in programming languages which allow for finitary representation of inherently Infinitary objects.

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    17

    What kinds of Infinitary objects are we normally concerned with? In the most general case an algorithm is what you want to represent in a program. An algorithm in the most general case is a function from some domain to some co domain.

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    Algorithm, to define the notion of the computational process, to be able to exactly define what is possible by a computational process and what is not possible by a computational process. Everything that is possible by a computational process should have a finite representation and anything that is Infinitary is not part of the computational process with some restrictions.

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