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Comparing the Continuum with the First Two Uncountable Cardinalsader is probably already puzzled by the fact that we decide to stop at the second uncountable cardinal rather than at some other value of the aleph— function. Well, there are two reasons for this. The first one is that presently there is a considerable lack of knowledge about statements like c; = ℵ.gustation 发表于 2025-3-25 14:12:05
Church’s Thesis and Hume’s Problemm ought to receive equal emphasis in a balanced approach to the philosophy of induction. As an illustration of such an approach, we investigate how uncomputable the predictions of a hypothesis can be if the hypothesis is to be reliably investigated by a computable scientific method.bleach 发表于 2025-3-25 16:16:37
The Logic of Functional Recursioncourse; in (so-called) abstract or generalized recursion theory; and, most significantly, in programming languages, where (especially since the work of Scott ) it has become clear that the main “programming construct” is .. And so it is important to understand how properties of recursively define灾祸 发表于 2025-3-25 21:56:16
Computability and Enumerabilitye in Florence, August, 1995. More detailed versions will appear in and , respectively..In the first part we consider the informal concept of “computability” or “effective calculability” and two of the formalisms commonly used to define it, “.” and “..” We consider their origin, exact technioctogenarian 发表于 2025-3-26 02:32:29
Mechanistic Theories in Cognitive Science: ,what mechanism in CS is. Turing’s thesis (TT, for short) contributes to clarifying the meaning of the expressions ‘mechanistic theory’ and ‘mechanism’. This is the basic view, whose motivations are made explicit in section 2, of the import of TT for the philosophy of CS. In particular, TT enables onCampaign 发表于 2025-3-26 06:06:36
Conjoining and Disjoining on Different Levelsp to this century, however, such doubts were generally not regarded as related to a possibly different notion of truth or as somehow suggesting a different perspective on the whole of the logical laws. Rather they were presented as an expression of uneasiness before particular arguments or kind of aSTYX 发表于 2025-3-26 09:49:08
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Logic and Scientific Methods978-94-017-0487-8Series ISSN 0166-6991 Series E-ISSN 2542-8292