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Titlebook: Quantifiers: Logics, Models and Computation; Volume Two: Contribu Micha? Krynicki,Marcin Mostowski,Les?aw W. Szczerb Book 1995 Springer Sci

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樓主: Spring
11#
發(fā)表于 2025-3-23 12:20:20 | 只看該作者
Quantifiers and Inference,e general theory of inference. In this brief paper, three encounters of this sort will be pointed out, providing a more systematic perspective behind ongoing work in the field of generalized quantifiers. First, we consider the role of quantifiers in a hierarchy of inference patterns, starting with p
12#
發(fā)表于 2025-3-23 14:10:33 | 只看該作者
13#
發(fā)表于 2025-3-23 19:12:44 | 只看該作者
Theories of Finitely Determinate Linear Orderings in Stationary Logic,finitely determinate and that the .(.)-theory of the class of weakly separable linear orderings is decidable. Also other classes are proved to have a decidable theory in the logic .(.); in particular the class of finitely determinate ..-discrete linear orderings. Furthermore, the properties of dense
14#
發(fā)表于 2025-3-23 23:42:50 | 只看該作者
Definable Second-Order Quantifiers and Quasivarieties,in the J. T. Baldwin and S. Shelah paper [1]. By [1] the classifiable in this sense theories have a lot of good structure properties. So it is natural to expect getting full descriptions of such theories in some important model-theoretic classes. The example of such sort is the A. Lachlan paper [2]
15#
發(fā)表于 2025-3-24 05:20:29 | 只看該作者
16#
發(fā)表于 2025-3-24 10:14:04 | 只看該作者
,On the Eliminability of the Quantifier “There Exist Uncountably Many”, will appear that the property of the eliminability of this quantifier is closely related to the so called regular relations, introduced in [8]. As a consequence we shall have that the significant part of model theory of logic with the quantifier Qx is reducible to the model theory of first order lo
17#
發(fā)表于 2025-3-24 11:44:05 | 只看該作者
Quantifiers Definable by Second Order Means,antifiers is given. The completeness theorem relative to a proper weak semantics for these approximations is proved..In the second part (Chapters 5–8) applications of ideas from the first part are given. This part is devoted to discussions of several variants of axiomatizable approximations of logic
18#
發(fā)表于 2025-3-24 17:29:57 | 只看該作者
19#
發(fā)表于 2025-3-24 22:10:53 | 只看該作者
,On Ordering of the Family of Logics with Skolem-L?wenheim Property and Countable Compactness Properare considered. It is proved that DLS and ??OM with a natural ordering between logics form a downward semilattice but not a lattice..In [4] Krynicki and V??n?nen considered an ordering of the family of all abstract logics, as well as the family of all abstract logics having Souslin-Kleene interpolat
20#
發(fā)表于 2025-3-25 02:44:00 | 只看該作者
,Some Remarks on Zawadowski’s Theory of Preordered Quantifiers,, ‘most’, ‘a(chǎn)t least seven’, ‘the’, ‘both’, etc. Quantifier words (determiners, specifiers; hereafter, just ‘quantifiers’) occur naturally in quantifier phrases in which the quantifier is combined with a restrictive description, as in ‘ all electrons’, ‘many intelligent logicians’, ‘most students of
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