49 found
Sort by:
See also:
Profile: Gabriel Sandu (University of Helsinki)
  1. Gabriel Sandu, Compositional Ssemantics for If-Languages.
    In order to give a compositional semantics for IF -languages, we shall describe their syntax in a different way. We shall not any longer have quantifiers of the form (∃y/{Q1x1, ..., Qkxk}), (∀y/{Q1x1, ..., Qkxk}), (Qi ∈ {∃, ∀}) but instead (∃xn/{xi1, ..., xim}), (∀xn/{xi1, ..., xim}).
    Translate to English
    |
     
    My bibliography  
     
    Export citation  
  2. Gabriel Sandu, Deflationism and Truth.
    There is a line of argument which aims to show that certain ontological claims are harmless by making use of conservativity results. The argument goes back to Hilbert who set its general frame. Hilbert’s concern was with certain abstract (ideal) entities in mathematics but the argument has been applied without discrimination to avoid ontological commitment to abstract entities in physics (Field) or to avoid ontological commitment to semantical properties like truth (Shapiro).
     
    My bibliography  
     
    Export citation  
  3. Gabriel Sandu, Games of Imperfect Information and and Modal Logic.
    numbers as in the following example ♦1,1♦1,2 2,3 5,4p We denote the set of formulas of this modal language by M L(k). For each modality type i, there will be an accessibility relation Ri. That is, an k-ary modal structure for the modal propositional language L will have the form..
    Translate to English
    |
     
    My bibliography  
     
    Export citation  
  4. Gabriel Sandu, Informational Independent Connectives and Epistemic Logic.
    We fix a family of actions A which represents the set of possible choices of the players in a game. A sequence (a1, ..., an) of actions represents the consecutive choices of the players, ai ∈ A.
     
    My bibliography  
     
    Export citation  
  5. Gabriel Sandu, 1 Semantical Games Vs Classical Games.
    We can think of the connectives of propositional logic as having a game-theoretical content. For instance, in order to establish the truth of (ϕ ∨ ψ), one has to be able to choose one of the disjuncts and establish its truth. And the truth of (ϕ ∧ ψ) is established when one is able to establish the truth of any chosen χ ∈ {ϕ, ψ}. These considerations have already a game-theoretical flavour.
    No categories
    Translate to English
    |
     
    My bibliography  
     
    Export citation  
  6. Gabriel Sandu, Truth, Deflationism and Correspondence.
    entities in mathematics There is a line of argument which keeps ontological commitments to the minimum by making use of conservativity results. The argument goes back to Hilbert who set its general frame. Hilbert’s concern was with certain abstract (ideal) entities in mathematics but the argument has been applied without discrimination to avoid ontological commitment to mathematical entities in physics (Field) or to avoid an ontological commitment to substantial properties in the case of truth (Horwich, Field, Williams).
     
    My bibliography  
     
    Export citation  
  7. Gabriel Sandu & Merlijn Sevenster (forthcoming). Equilibrium Semantics. Annals of Pure and Applied Logic.
    Direct download  
     
    My bibliography  
     
    Export citation  
  8. Gabriel Sandu (2013). Games and Logic. Baltic International Yearbook of Cognition, Logic and Communication 8 (1).
    No categories
    Direct download (2 more)  
     
    My bibliography  
     
    Export citation  
  9. Gabriel Sandu (2013). Probabilistic IF Logic. In Kamal Lodaya (ed.), Logic and its Applications. Springer. 69--79.
    No categories
    Direct download  
     
    My bibliography  
     
    Export citation  
  10. Julien Boyer & Gabriel Sandu (2012). Between Proof and Truth. Synthese 187 (3):821-832.
    We consider two versions of truth as grounded in verification procedures: Dummett's notion of proof as an effective way to establish the truth of a statement and Hintikka's GTS notion of truth as given by the existence of a winning strategy for the game associated with a statement. Hintikka has argued that the two notions should be effective and that one should thus restrict one's attention to recursive winning strategies. In the context of arithmetic, we show that the two notions (...)
    No categories
    Direct download (5 more)  
     
    My bibliography  
     
    Export citation  
  11. Julien Boyer & Gabriel Sandu (2012). Erratum To: Between Proof and Truth. Synthese 187 (3):973-974.
    No categories
    Direct download (5 more)  
     
    My bibliography  
     
    Export citation  
  12. Gabriel Sandu (2012). Independendly-Friendly Logic: Dependence and Independence of Quantifiers in Logic. Philosophy Compass 7 (10):691-711.
    No categories
    Direct download (4 more)  
     
    My bibliography  
     
    Export citation  
  13. Gabriel Sandu (2011). Read on the Liar. Discusiones Filosóficas 12 (19):277 - 290.
    No categories
    Direct download (3 more)  
     
    My bibliography  
     
    Export citation  
  14. Carlo Proietti & Gabriel Sandu (2010). Fitch's Paradox and Ceteris Paribus Modalities. Synthese 173 (1):75 - 87.
    The paper attempts to give a solution to the Fitch’s paradox though the strategy of the reformulation of the paradox in temporal logic, and a notion of knowledge which is a kind of ceteris paribus modality. An analogous solution has been offered in a different context to solve the problem of metaphysical determinism.
    No categories
    Direct download (6 more)  
     
    My bibliography  
     
    Export citation  
  15. Merlijn Sevenster & Gabriel Sandu (2010). Equilibrium Semantics of Languages of Imperfect Information. Annals of Pure and Applied Logic 161 (5):618-631.
    Direct download (3 more)  
     
    My bibliography  
     
    Export citation  
  16. Gabriel Sandu (2009). Dependence Logic: A New Approach to Independence Friendly Logic – by Juokko Väänänen. Theoria 75 (1):52-64.
    No categories
    Direct download (6 more)  
     
    My bibliography  
     
    Export citation  
  17. Gabriel Sandu (2009). Logic and Semantics in the Twentieth Century. In Leila Haaparanta (ed.), The Development of Modern Logic. Oxford University Press. 562.
    A crucial aspect of the revolution that affected logic at the beginning of the twentieth century concerns the severance of its traditional dependence on the form and structure of natural language. Such a breakdown has had enormous consequences not only for the development of formal logic, but also for the opening of new perspectives in the study of language. This peculiar relationship between mathematical logic and language inquiry is best illustrated by Willard V. O. Quine (1961: 1): Mathematicians expedite their (...)
    Direct download  
     
    My bibliography  
     
    Export citation  
  18. Alessandro Lenci & Gabriel Sandu (2008). Logic and Linguistics in the Twentieth Century. In Leila Haaparanta (ed.), The Development of Modern Logic. Oxford University Press.
     
    My bibliography  
     
    Export citation  
  19. Gabriel Sandu & Tuomo Aho (2008). Logic and Semantics in the Twentieth Century. In Leila Haaparanta (ed.), The Development of Modern Logic. Oxford University Press. 562.
    No categories
    Direct download  
     
    My bibliography  
     
    Export citation  
  20. Hintikka Jaakko & Gabriel Sandu (2006). What is Logic? In Dale Jacquette (ed.), Philosophy of Logic. North Holland. 13--39.
    No categories
    Direct download  
     
    My bibliography  
     
    Export citation  
  21. Tapani Hyttinen & Gabriel Sandu (2004). Deflationism and Arithmetical Truth. Dialectica 58 (3):413–426.
  22. Tapani Hyttinen & Gabriel Sandu (2004). Truth and Definite Truth. Annals of Pure and Applied Logic 126 (1-3):49-55.
    Direct download (3 more)  
     
    My bibliography  
     
    Export citation  
  23. Ahti-Veikko Pietarinen & Gabriel Sandu (2004). If Logic, Game-Theoretical Semantics, and the Philosophy of Science. In S. Rahman J. Symons (ed.), Logic, Epistemology, and the Unity of Science. Kluwer Academic Publisher. 105--138.
    No categories
    Direct download (2 more)  
     
    My bibliography  
     
    Export citation  
  24. Juliette Kennedy & Gabriel Sandu (2003). History of Logic. Synthese 137:459-460.
    No categories
    Direct download  
     
    My bibliography  
     
    Export citation  
  25. Juliette Kennedy & Gabriel Sandu (2003). Introduction. Synthese 137 (1-2):1-1.
    No categories
    Direct download (8 more)  
     
    My bibliography  
     
    Export citation  
  26. Gabriel Sandu (2001). Signalling in Languages with Imperfect Information. Synthese 127 (1-2):21 - 34.
    This paper is a short survey of different languageswith imperfect information introduced in (Hintikka and Sandu 1989).The imperfect information concerns both quantifiers and connectives.At the end, I will sketch a connection between these languages and linearlogic.
    No categories
    Direct download (5 more)  
     
    My bibliography  
     
    Export citation  
  27. Gabriel Sandu & Jaakko Hintikka (2001). Aspects of Compositionality. Journal of Logic, Language and Information 10 (1):49-61.
    We introduce several senses of the principle ofcompositionality. We illustrate the difference between them with thehelp of some recent results obtained by Cameron and Hodges oncompositional semantics for languages of imperfect information.
    Direct download (7 more)  
     
    My bibliography  
     
    Export citation  
  28. Gabriel Sandu & Tapani Hyttinen (2001). IF Logic and the Foundations of Mathematics. Synthese 126 (1-2):37 - 47.
    Direct download (6 more)  
     
    My bibliography  
     
    Export citation  
  29. Tapani Hyttinen & Gabriel Sandu (2000). Henkin Quantifiers and the Definability of Truth. Journal of Philosophical Logic 29 (5):507-527.
    Henkin quantifiers have been introduced in Henkin (1961). Walkoe (1970) studied basic model-theoretical properties of an extension $L_{*}^{1}$ (H) of ordinary first-order languages in which every sentence is a first-order sentence prefixed with a Henkin quantifier. In this paper we consider a generalization of Walkoe's languages: we close $L_{*}^{1}$ (H) with respect to Boolean operations, and obtain the language L¹(H). At the next level, we consider an extension $L_{*}^{2}$ (H) of L¹(H) in which every sentence is an L¹(H)-sentence prefixed with (...)
    Direct download (8 more)  
     
    My bibliography  
     
    Export citation  
  30. Gabriel Sandu (2000). Minimalism and the Definability of Truth. The Proceedings of the Twentieth World Congress of Philosophy 2000:143-153.
    In this paper I am going to inquire to what extent the main requirements of a minimalist theory of truth and falsity (as formulated, for example, by Horwich and Field) can be consistently implemented in a formal theory. I will discuss several of the existing logical theories of truth, including Tarski-type (un)definability results, Kripke’s partial interpretation of truth and falsity, Barwise and Moss’ theory based upon non-well-founded sets, McGee’s treatment of truth as a vague predicate, and Hintikka’s languages of imperfect (...)
    Direct download (3 more)  
     
    My bibliography  
     
    Export citation  
  31. Ahti Pietarinen & Gabriel Sandu (1999). Games in Philosophical Logic. Nordic Journal of Philosophical Logic 4:143-174.
    Direct download  
     
    My bibliography  
     
    Export citation  
  32. Gabriel Sandu (1998). If-Logic and Truth-Definition. Journal of Philosophical Logic 27 (2):143-164.
    In this paper we show that first-order languages extended with partially ordered connectives and partially ordered quantifiers define, under a certain interpretation, their own truth-predicate. The interpretation in question is in terms of games of imperfect information. This result is compared with those of Kripke and Feferman.
    Direct download (8 more)  
     
    My bibliography  
     
    Export citation  
  33. Gabriel Sandu (1998). Partially Interpreted Relations and Partially Interpreted Quantifiers. Journal of Philosophical Logic 27 (6):587-601.
    Logics in which a relation R is semantically incomplete in a particular universe E, i.e. the union of the extension of R with its anti-extension does not exhaust the whole universe E, have been studied quite extensively in the last years. (Cf. van Benthem (1985), Blamey (1986), and Langholm (1988), for partial predicate logic; Muskens (1996), for the applications of partial predicates to formal semantics, and Doherty (1996) for applications to modal logic.) This is not so with semantically incomplete generalized (...)
    Direct download (8 more)  
     
    My bibliography  
     
    Export citation  
  34. Gabriel Sandu (1997). IF First-Order Logic and Truth-Definitions. Journal of Philosophical Logic 26.
     
    My bibliography  
     
    Export citation  
  35. Gabriel Sandu (1997). On the Theory of Anaphora: Dynamic Predicate Logic Vs. Game-Theoretical Semantics. [REVIEW] Linguistics and Philosophy 20 (2):147-174.
    Direct download (7 more)  
     
    My bibliography  
     
    Export citation  
  36. Lauri Hella & Gabriel Sandu (1995). Partially Ordered Connectives and Finite Graphs. In M. Krynicki, M. Mostowski & L. Szczerba (eds.), Quantifiers: Logics, Models and Computation. Kluwer Academic Publishers. 79--88.
    No categories
    Direct download  
     
    My bibliography  
     
    Export citation  
  37. Jaakko Hintikka & Gabriel Sandu (1995). The Fallacies of the New Theory of Reference. Synthese 104 (2):245 - 283.
    The so-called New Theory of Reference (Marcus, Kripke etc.) is inspired by the insight that in modal and intensional contexts quantifiers presuppose nondescriptive unanalyzable identity criteria which do not reduce to any descriptive conditions. From this valid insight the New Theorists fallaciously move to the idea that free singular terms can exhibit a built-in direct reference and that there is even a special class of singular terms (proper names) necessarily exhibiting direct reference. This fallacious move has been encouraged by a (...)
    Direct download (5 more)  
     
    My bibliography  
     
    Export citation  
  38. Gabriel Sandu & Raimo Tuomela (1995). Joint Action and Group Action Made Precise. Synthese 105 (3):319 - 345.
    The paper argues that there are two main kinds of joint action, direct joint bringing about (or performing) something (expressed in terms of a DO-operator) and jointly seeing to it that something is the case (expressed in terms of a Stit-operator). The former kind of joint action contains conjunctive, disjunctive and sequential action and its central subkinds. While joint seeing to it that something is the case is argued to be necessarily intentional, direct joint performance can also be nonintentional. Actions (...)
    Direct download (5 more)  
     
    My bibliography  
     
    Export citation  
  39. Jaakko Hintikka & Gabriel Sandu (1994). What is a Quantifier? Synthese 98 (1):113 - 129.
    Direct download (6 more)  
     
    My bibliography  
     
    Export citation  
  40. Gabriel Sandu (1994). Some Aspects of Negation in English. Synthese 99 (3):345 - 360.
    I introduce a formal language called the language of informational independence (IL-language, for short) that extends an ordinary first-order language in a natural way. This language is interpreted in terms of semantical games of imperfect information. In this language, one can define two negations: (i) strong or dual negation, and (ii) weak or contradictory negation. The latter negation, unlike the former, can occur only sentence-initially. Then I argue that, to a certain extent, the two negations match the distinction existing in (...)
    Direct download (5 more)  
     
    My bibliography  
     
    Export citation  
  41. Gabriel Sandu (1994). Uses and Misuses of Frege's Ideas. The Monist 77 (3):278-293.
    Frege's achievement as the creator of contemporary logic should not blind us to the limitations of his approach to logic, language and mathematics. Frege accepted the universality of language and its corollaries, the ineffability of semantics, the one-world view of meaning, and the hypostatization of meanings into meaning entities (Sinne). He assumed compositionality and hence overlooked informationally independent quantifiers. His thesis of the ambiguity of words like "is" is unacceptable in the semantics of natural languages. In higher-order logic, he assumed (...)
    Direct download (6 more)  
     
    My bibliography  
     
    Export citation  
  42. Gabriel Sandu & Jan Woleński (1994). Review Essay. Synthese 101 (1):121-127.
    Direct download (3 more)  
     
    My bibliography  
     
    Export citation  
  43. Gabriel Sandu (1993). On the Logic of Informational Independence and its Applications. Journal of Philosophical Logic 22 (1):29 - 60.
    We shall introduce in this paper a language whose formulas will be interpreted by games of imperfect information. Such games will be defined in the same way as the games for first-order formulas except that the players do not have complete information of the earlier course of the game. Some simple logical properties of these games will be stated together with the relation of such games of imperfect information to higher-order logic. Finally, a set of applications will be outlined.
    Direct download (5 more)  
     
    My bibliography  
     
    Export citation  
  44. Jaakko Hintikka & Gabriel Sandu (1992). The Skeleton in Frege's Cupboard: The Standard Versus Nonstandard Distinction. Journal of Philosophy 89 (6):290-315.
    No categories
    Direct download (3 more)  
     
    My bibliography  
     
    Export citation  
  45. Gabriel Sandu & Jouko Väänänen (1992). Partially Ordered Connectives. Mathematical Logic Quarterly 38 (1):361-372.
    No categories
    Direct download (3 more)  
     
    My bibliography  
     
    Export citation  
  46. Jaakko Hintikka & Gabriel Sandu (1990). Metaphor and the Varieties of Lexical Meaning. Dialectica 44 (1‐2):55-78.
    No categories
    Direct download (3 more)  
     
    My bibliography  
     
    Export citation  
  47. Gyula Klima & Gabriel Sandu (1990). Numerical Quantifiers in Game-Theoretical Semantics. Theoria 56 (3):173-192.
    No categories
    Direct download (3 more)  
     
    My bibliography  
     
    Export citation  
  48. Gabriel Sandu & Martti Kuokkanen (1990). On Social Rights. Ratio Juris 3 (1):89-94.
    Direct download (6 more)  
     
    My bibliography  
     
    Export citation  
  49. Gabriel Sandu, Ramsey and the Notion of Arbitrary Function.
    In his article The Foundations of Mathematics (1925) Ramsey was concerned with the nature of the statements of 'pure mathematics' and the way these statements differ from those in empirical sciences. He thought that the answer given to these questions by Hilbert and the formalist school according to which mathematical statements are meaningless formulas, is unsatisfactory for several reasons, which will not be discussed here. He also expressed serious doubts about the intuitionist program developed by Brouwer and Weyl. It is (...)
     
    My bibliography  
     
    Export citation