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Profile: Michiel van Lambalgen (University of Amsterdam)
  1.  93
    Riccardo Pinosio & Michiel van Lambalgen, THE LOGIC OF TIME AND THE CONTINUUM IN KANT's CRITICAL PHILOSOPHY.
    We aim to show that Kant’s theory of time is consistent by providing axioms whose models validate all synthetic a priori principles for time proposed in the Critique of Pure Reason. In this paper we focus on the distinction between time as form of intuition and time as formal intuition, for which Kant’s own explanations are all too brief. We provide axioms that allow us to construct ‘time as formal intuition’ as a pair of continua, corresponding to time as ‘inner (...)
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  2. Theodora Achourioti & Michiel van Lambalgen (2011). A Formalization of Kant's Transcendental Logic. Review of Symbolic Logic 4 (2):254-289.
    Although Kant (1998) envisaged a prominent role for logic in the argumentative structure of his Critique of Pure Reason, logicians and philosophers have generally judged Kantgeneralformaltranscendental logics is a logic in the strict formal sense, albeit with a semantics and a definition of validity that are vastly more complex than that of first-order logic. The main technical application of the formalism developed here is a formal proof that Kants logic is after all a distinguished subsystem of first-order logic, namely what (...)
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  3.  87
    Keith Stenning & Michiel van Lambalgen (2001). Semantics as a Foundation for Psychology: A Case Study of Wason's Selection Task. [REVIEW] Journal of Logic, Language and Information 10 (3):273-317.
    We review the various explanations that have been offered toaccount for subjects'' behaviour in Wason ''s famous selection task. Weargue that one element that is lacking is a good understanding ofsubjects'' semantics for the key expressions involved, and anunderstanding of how this semantics is affected by the demands the taskputs upon the subject''s cognitive system. We make novel proposals inthese terms for explaining the major content effects of deonticmaterials. Throughout we illustrate with excerpts from tutorialdialogues which motivate the kinds of (...)
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  4. Michiel van Lambalgen (1992). Independence, Randomness and the Axiom of Choice. Journal of Symbolic Logic 57 (4):1274-1304.
    We investigate various ways of introducing axioms for randomness in set theory. The results show that these axioms, when added to ZF, imply the failure of AC. But the axiom of extensionality plays an essential role in the derivation, and a deeper analysis may ultimately show that randomness is incompatible with extensionality.
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  5.  34
    Keith Stenning & Michiel van Lambalgen (2007). Logic in the Study of Psychiatric Disorders: Executive Function and Rule-Following. Topoi 26 (1):97-114.
    Executive function has become an important concept in explanations of psychiatric disorders, but we currently lack comprehensive models of normal executive function and of its malfunctions. Here we illustrate how defeasible logical analysis can aid progress in this area. We illustrate using autism and attention deficit hyperactivity disorder (ADHD) as example disorders, and show how logical analysis reveals commonalities between linguistic and non-linguistic behaviours within each disorder, and how contrasting sub-components of executive function are involved across disorders. This analysis reveals (...)
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  6. Michiel van Lambalgen & Fritz Hamm (2006). The Proper Treatment of Events. Bulletin of Symbolic Logic 12 (1):139-141.
     
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  7.  25
    Michiel van Lambalgen & Marian Counihan (2008). Formal Models for Real People. Journal of Logic, Language and Information 17 (4):385-389.
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  8.  10
    Giosue Baggio, Michiel van Lambalgen & Peter Hagoort (2012). The Processing Consequences of Compositionality. In Markus Werning, Wolfram Hinzen & Edouard Machery (eds.), The Oxford Handbook of Compositionality. OUP Oxford
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  9.  12
    Giosue Baggio, Michiel van Lambalgen & Peter Hagoort (2012). Language, Linguistics and Cognition. In Ruth M. Kempson, Tim Fernando & Nicholas Asher (eds.), Philosophy of Linguistics. North Holland
  10.  6
    Keith Stenning & Michiel van Lambalgen (2004). A Little Logic Goes a Long Way: Basing Experiment on Semantic Theory in the Cognitive Science of Conditional Reasoning. Cognitive Science 28 (4):481-529.
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  11.  3
    Keith Stenning & Michiel van Lambalgen (2016). Logic Programming, Probability, and Two-System Accounts of Reasoning: A Rejoinder to Oaksford and Chater. Thinking and Reasoning 22 (3):355-368.
    This reply to Oaksford and Chater’s ’s critical discussion of our use of logic programming to model and predict patterns of conditional reasoning will frame the dispute in terms of the semantics of the conditional. We begin by outlining some common features of LP and probabilistic conditionals in knowledge-rich reasoning over long-term memory knowledge bases. For both, context determines causal strength; there are inferences from the absence of certain evidence; and both have analogues of the Ramsey test. Some current work (...)
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  12.  7
    Michiel van Lambalgen (1990). The Axiomatization of Randomness. Journal of Symbolic Logic 55 (3):1143-1167.
    We present a faithful axiomatization of von Mises' notion of a random sequence, using an abstract independence relation. A byproduct is a quantifier elimination theorem for Friedman's "almost all" quantifier in terms of this independence relation.
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  13.  21
    Michiel van Lambalgen (1989). Algorithmic Information Theory. Journal of Symbolic Logic 54 (4):1389-1400.
    We present a critical discussion of the claim (most forcefully propounded by Chaitin) that algorithmic information theory sheds new light on Godel's first incompleteness theorem.
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  14.  33
    Keith Stenning & Michiel van Lambalgen (2009). “Nonmonotonic” Does Not Mean “Probabilistic”. Behavioral and Brain Sciences 32 (1):102-103.
    Oaksford & Chater (O&C) advocate Bayesian probability as a way to deal formally with the pervasive nonmonotonicity of common sense reasoning. We show that some forms of nonmonotonicity cannot be treated by Bayesian methods.
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  15.  8
    Michiel Van Lambalgen (1987). Von Mises' Definition of Random Sequences Reconsidered. Journal of Symbolic Logic 52 (3):725-755.
    We review briefly the attempts to define random sequences $$ . These attempts suggest two theorems: one concerning the number of subsequence selection procedures that transform a random sequence into a random sequence ; the other concerning the relationship between definitions of randomness based on subsequence selection and those based on statistical tests $$.
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  16.  30
    Natasha Alechina & Michiel van Lambalgen (1996). Generalized Quantification as Substructural Logic. Journal of Symbolic Logic 61 (3):1006-1044.
    We show how sequent calculi for some generalized quantifiers can be obtained by generalizing the Herbrand approach to ordinary first order proof theory. Typical of the Herbrand approach, as compared to plain sequent calculus, is increased control over relations of dependence between variables. In the case of generalized quantifiers, explicit attention to relations of dependence becomes indispensible for setting up proof systems. It is shown that this can be done by turning variables into structured objects, governed by various types of (...)
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  17.  3
    Natasha Alechina & Michiel van Lambalgen (1995). Correspondence and Completeness for Generalized Quantifiers. Logic Journal of the Igpl 3 (2-3):167-190.
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  18.  6
    Martin Stokhof & Michiel van Lambalgen (forthcoming). What Cost Naturalism? In Wiebke Petersen & Kata Balogh (eds.), BRIDGE 2014 Proceedings. University of Duesselfors Press
    The paper traces some of the assumptions that have informed conservative naturalism in linguistic theory, critically examines their justification, and proposes a more liberal alternative.
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  19.  14
    Fritz Hamm & Michiel van Lambalgen (2003). Event Calculus, Nominalisation, and the Progressive. Linguistics and Philosophy 26 (4):381-458.
  20.  30
    Michiel van Lambalgen, How Reasoning Differs From Computation.
    Sieg has proposed axioms for computability whose models can be reduced to Turing machines. This lecture will investigate to what extent these axioms hold for reasoning. In particular we focus on the requirement that the configurations that a computing agent (whether human or machine) operates on must be ’immediately recognisable’. If one thinks of reasoning as derivation in a calculus, this requirement is satisfied; but even in contexts which are only slightly less formal, the requirement cannot be met. Our main (...)
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  21.  10
    Keith Stenning & Michiel van Lambalgen (2008). Interpretation, Representation, and Deductive Reasoning. In Jonathan Eric Adler & Lance J. Rips (eds.), Reasoning: Studies of Human Inference and its Foundations. Cambridge University Press
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  22.  33
    Michiel van Lambalgen, Claudia van Kruistum & Esther Parigger (2008). Discourse Processing in Attention-Deficit Hyperactivity Disorder (Adhd). Journal of Logic, Language and Information 17 (4):467-487.
    ADHD is a psychiatric disorder characterised by persistent and developmentally inappropriate levels of inattention, impulsivity and hyperactivity. It is known that children with ADHD tend to produce incoherent discourses, e.g. by narrating events out of sequence. Here the aetiology of ADHD becomes of interest. One prominent theory is that ADHD is an executive function disorder, showing deficiencies of planning. Given the close link between planning, verb tense and discourse coherence postulated in van Lambalgen and Hamm (The proper treatment of events, (...)
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  23.  8
    Martin Stokhof & Michiel van Lambalgen (2010). Abstracties en idealisaties: de constructie van de moderne taalkunde. Tijdschrift Voor Filosofie 72 (4):749-776.
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  24.  23
    Jaap M. van der Does & Michiel van Lambalgen (2000). A Logic of Vision. Linguistics and Philosophy 23 (1):1-92.
    This essay attempts to develop a psychologically informed semantics of perception reports, whose predictions match with the linguistic data. As suggested by the quotation from Miller and Johnson-Laird, we take a hallmark of perception to be its fallible nature; the resulting semantics thus necessarily differs from situation semantics. On the psychological side, our main inspiration is Marr's (1982) theory of vision, which can easily accomodate fallible perception. In Marr's theory, vision is a multi-layered process. The different layers have filters of (...)
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  25.  4
    Michiel| Stokhof van Lambalgen (2010). Filosofie aan de Universiteit van Amsterdam. Tijdschrift Voor Filosofie 72 (4):645.
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  26.  3
    Keith Stenning & Michiel van Lambalgen (2012). Language Evolution: Enlarging the Picture. In David McFarland, Keith Stenning & Maggie McGonigle (eds.), The Complex Mind. Palgrave Macmillan
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  27.  1
    Michiel van Lambalgen (1992). Dembski William A.. Randomness by Design. Noûs, Vol. 25 (1991), Pp. 75–106. Journal of Symbolic Logic 57 (2):758-759.
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  28.  2
    Vladimir Kanovei & Michiel van Lambalgen (1997). On a Spector Ultrapower for the Solovay Model. Mathematical Logic Quarterly 43 (3):389-395.
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  29.  5
    Michiel van Lambalgen (2001). Editorial: An Invitation to Cognitive Science. [REVIEW] Journal of Logic, Language and Information 10 (2):145-146.
  30. Roger M. Cooke & Michiel van Lambalgen (1983). The Representation of Takeuti's ⫫-Operator. Studia Logica 42 (4):407-415.
    Gaisi Takeuti has recently proposed a new operation on orthomodular lattices L, ⫫: $\scr{P}\rightarrow L$ . The properties of ⫫ suggest that the value of ⫫ $$ corresponds to the degree in which the elements of A behave classically. To make this idea precise, we investigate the connection between structural properties of orthomodular lattices L and the existence of two-valued homomorphisms on L.
     
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  31. Fritz Hamm & Michiel van Lambalgen (2003). Nominalization, the Progressive and Event Calculus. Linguistics and Philosophy 26:381-458.
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