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Distributive Normal Forms in the Calculus of Predicates

[Edidit Societas Philosophica;,] [Distribuit Akatesminen Kirjakauppa,] (1953)

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  1. Expressing cardinality quantifiers in monadic second-order logic over chains.Vince Bárány, Łukasz Kaiser & Alexander Rabinovich - 2011 - Journal of Symbolic Logic 76 (2):603 - 619.
    We investigate the extension of monadic second-order logic of order with cardinality quantifiers "there exists uncountably many sets such that... " and "there exists continuum many sets such that... ". We prove that over the class of countable linear orders the two quantifiers are equivalent and can be effectively and uniformly eliminated. Weaker or partial elimination results are obtained for certain wider classes of chains. In particular, we show that over the class of ordinals the uncountability quantifier can be effectively (...)
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  • Tautology: How not to use a word.Burton Dreben & Juliet Floyd - 1991 - Synthese 87 (1):23 - 49.
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  • Wittgenstein'ın ölümsüz dünyasında kim öle, kim kala?Besim Karakadılar - manuscript
    Wittgenstein’ın bir yaşam olayı olarak görmediği ölümün ne anlama geldiğine ilişkin düşüncesi açımlanıyor. Wittgenstein’ın düşüncesinin varlık-bilimsel dayanağı olan tek bir dünyanın var sayılması birden çok dünya varsayılan bir yaklaşımla karşılaştırılıyor.
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  • Philosophie des modalités épistémiques (la logique assertorique revisitée).Fabien Schang - 2007 - Dissertation, Nancy Université
    The relevance of any logical analysis lies in its ability to solve paradoxes and trace conceptual troubles back; with this respect, the task of epistemic logic is to handle paradoxes in connection with the concept of knowledge. Epistemic logic is currently introduced as the logical analysis of crucial concepts within epistemology, namely: knowledge, belief, truth, and justification. An alternative approach will be advanced here in order to enlighten such a discourse, as centred upon the word assertion and displayed in terms (...)
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  • Minimizing disjunctive normal forms of pure first-order logic.Timm Lampert - 2017 - Logic Journal of the IGPL 25 (3):325-347.
    In contrast to Hintikka’s enormously complex distributive normal forms of first- order logic, this paper shows how to generate minimized disjunctive normal forms of first-order logic. An effective algorithm for this purpose is outlined, and the benefits of using minimized disjunctive normal forms to explain the truth conditions of propo- sitions expressible within pure first-order logic are presented.
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  • Super Models.Jaakko Hintikka - 2019 - Logica Universalis 13 (2):147-150.
    Published originally in: Patoluoto, I., Saarinen, E., Stenman, P.,. Vexing Questions, An Urnful of Essays in Honour of Veikko Rantala on the Occasion of His Fiftieth Birthday. Reports from the Department of Philosophy, University of Helsinki, 3, pp. 12–18.
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  • Independence-friendly logic and axiomatic set theory.Jaakko Hintikka - 2004 - Annals of Pure and Applied Logic 126 (1-3):313-333.
    In order to be able to express all possible patterns of dependence and independence between variables, we have to replace the traditional first-order logic by independence-friendly (IF) logic. Our natural concept of truth for a quantificational sentence S says that all the Skolem functions for S exist. This conception of truth for a sufficiently rich IF first-order language can be expressed in the same language. In a first-order axiomatic set theory, one can apparently express this same concept in set-theoretical terms, (...)
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  • Horn sentences.Fred Galvin - 1970 - Annals of Mathematical Logic 1 (4):389.
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  • (1 other version)Are the Validities of Modal Logic Analytic? Or Analyticity Again, through Information, Proof, Modal Logic and Hintikka.Francesca Poggiolesi - 2015 - Philosophia Scientiae 19:221-243.
    Dans la philosophie de Hintikka la notion d'analyticité occupe une place particulière (e.g., [Hintikka 1973], [Hintikka 2007]) ; plus précisément, le philosophe finnois distingue deux notions d'analyticité : l'une qui est basée sur la notion d'information, l'autre sur la notion de preuve. Alors que ces deux notions ont été largement utilisées pour étudier la logique propositionnelle et la logique du premier ordre, aucun travail n'a été développé pour la logique modale. Cet article se propose de combler cette lacune et ainsi (...)
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  • Counterfactuals without possible worlds.Raymond Turner - 1981 - Journal of Philosophical Logic 10 (4):453 - 493.
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  • Application of inductive logic to the analysis of construct validity.Robert Joseph Rossi - 1978 - Synthese 37 (3):285 - 319.
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  • Inexpressiveness of First-Order Fragments.William C. Purdy - 2006 - Australasian Journal of Logic 4 (5):1-12.
    It is well-known that first-order logic is semi-decidable. Therefore, first-order logic is less than ideal for computational purposes (computer science, knowledge engineering). Certain fragments of first-order logic are of interest because they are decidable. But decidability is gained at the cost of expressiveness. The objective of this paper is to investigate inexpressiveness of fragments that have received much attention.
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