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Profile: Michiel Van Lambalgen (University of Amsterdam)
  1. A Formalization of Kant's Transcendental Logic.Theodora Achourioti & Michiel van Lambalgen - 2011 - 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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  2. THE LOGIC OF TIME AND THE CONTINUUM IN KANT's CRITICAL PHILOSOPHY.Riccardo Pinosio & Michiel van Lambalgen - manuscript
    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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  3.  64
    The Logic and Topology of Kant's Temporal Continuum.Riccardo Pinosio & Michiel van Lambalgen - manuscript
    In this article we provide a mathematical model of Kant?s temporal continuum that satisfies the (not obviously consistent) synthetic a priori principles for time that Kant lists in the Critique of pure Reason (CPR), the Metaphysical Foundations of Natural Science (MFNS), the Opus Postumum and the notes and frag- ments published after his death. The continuum so obtained has some affinities with the Brouwerian continuum, but it also has ‘infinitesimal intervals’ consisting of nilpotent infinitesimals, which capture Kant’s theory of rest (...)
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  4.  93
    Semantics as a Foundation for Psychology: A Case Study of Wason's Selection Task. [REVIEW]Keith Stenning & Michiel van Lambalgen - 2001 - 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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  5.  20
    Language, Linguistics and Cognition.Giosue Baggio, Michiel van Lambalgen & Peter Hagoort - 2012 - In Ruth M. Kempson, Tim Fernando & Nicholas Asher (eds.), Philosophy of Linguistics. North Holland.
  6.  55
    Logic in the Study of Psychiatric Disorders: Executive Function and Rule-Following.Keith Stenning & Michiel van Lambalgen - 2007 - 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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  7. The Proper Treatment of Events.Michiel van Lambalgen & Fritz Hamm - 2006 - Bulletin of Symbolic Logic 12 (1):139-141.
  8. Independence, Randomness and the Axiom of Choice.van Lambalgen Michiel - 1992 - 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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  9.  8
    The Processing Consequences of the Imperfective Paradox.G. Baggio & M. van Lambalgen - 2007 - Journal of Semantics 24 (4):307-330.
    In this paper we present a semantic analysis of the imperfective paradox based on the Event Calculus (van Lambalgen & Hamm 2004), a planning formalism characterizing a class of models which can be computed by connectionist networks. We report the results of a questionnaire that support the semantic theory and suggest that different aspectual classes of VPs in the progressive give rise to different entailment patterns. Further, a processing model is outlined, combining the semantic analysis with the psycholinguistic principle of (...)
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  10.  31
    Formal Models for Real People.Michiel van Lambalgen & Marian Counihan - 2008 - Journal of Logic, Language and Information 17 (4):385-389.
  11.  10
    The Axiomatization of Randomness.van Lambalgen Michiel - 1990 - 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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  12.  14
    The Processing Consequences of Compositionality.Giosue Baggio, Michiel van Lambalgen & Peter Hagoort - 2012 - In Markus Werning, Wolfram Hinzen & Edouard Machery (eds.), The Oxford Handbook of Compositionality. Oxford University Press.
    Compositionality remains effective as an explanation of cases in which processing complexity increases due to syntactic factors only. It falls short of accounting for situations in which complexity arises from interactions with the sentence or discourse context, perceptual cues, and stored knowledge. The idea of compositionality as a methodological principle is appealing, but imputing the complexity to one component of the grammar or another, instead of enriching the notion of composition, is not always an innocuous move, leading to fully equivalent (...)
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  13.  7
    A Little Logic Goes a Long Way: Basing Experiment on Semantic Theory in the Cognitive Science of Conditional Reasoning.Keith Stenning & Michiel van Lambalgen - 2004 - Cognitive Science 28 (4):481-529.
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  14.  28
    Algorithmic Information Theory.van Lambalgen Michiel - 1989 - 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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  15.  33
    “Nonmonotonic” Does Not Mean “Probabilistic”.Keith Stenning & Michiel van Lambalgen - 2009 - 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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  16.  7
    Correspondence and Completeness for Generalized Quantifiers.Natasha Alechina & Michiel van Lambalgen - 1995 - Logic Journal of the IGPL 3 (2-3):167-190.
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  17.  17
    Von Mises' Definition of Random Sequences Reconsidered.Van Lambalgen Michiel - 1987 - 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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  18.  5
    Reasoning in Non-Probabilistic Uncertainty: Logic Programming and Neural-Symbolic Computing as Examples.Tarek R. Besold, Artur D’Avila Garcez, Keith Stenning, Leendert van der Torre & Michiel van Lambalgen - 2017 - Minds and Machines 27 (1):37-77.
    This article aims to achieve two goals: to show that probability is not the only way of dealing with uncertainty ; and to provide evidence that logic-based methods can well support reasoning with uncertainty. For the latter claim, two paradigmatic examples are presented: logic programming with Kleene semantics for modelling reasoning from information in a discourse, to an interpretation of the state of affairs of the intended model, and a neural-symbolic implementation of input/output logic for dealing with uncertainty in dynamic (...)
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  19.  38
    Generalized Quantification as Substructural Logic.Natasha Alechina & Michiel van Lambalgen - 1996 - 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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  20.  23
    What Cost Naturalism?Martin Stokhof & Michiel van Lambalgen - forthcoming - 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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  21.  11
    Logic Programming, Probability, and Two-System Accounts of Reasoning: A Rejoinder to Oaksford and Chater.Keith Stenning & Michiel van Lambalgen - 2016 - 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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  22.  32
    How Reasoning Differs From Computation.Michiel van Lambalgen - unknown
    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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  23.  17
    Abstracties en idealisaties: de constructie van de moderne taalkunde.Martin Stokhof & Michiel van Lambalgen - 2010 - Tijdschrift Voor Filosofie 72 (4):749-776.
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  24.  36
    Discourse Processing in Attention-Deficit Hyperactivity Disorder (Adhd).Michiel van Lambalgen, Claudia van Kruistum & Esther Parigger - 2008 - 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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  25.  6
    Abstracte begrippen en concrete werkelijkheid - Twee vragen voor Hans Radder.Martin Stokhof & Michiel van Lambalgen - 2014 - Algemeen Nederlands Tijdschrift voor Wijsbegeerte 106 (1):69-74.
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  26.  11
    Interpretation, Representation, and Deductive Reasoning.Keith Stenning & Michiel van Lambalgen - 2008 - In Jonathan Eric Adler & Lance J. Rips (eds.), Reasoning: Studies of Human Inference and its Foundations. Cambridge University Press.
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  27.  26
    A Logic of Vision.Jaap M. van der Does & Michiel van Lambalgen - 2000 - 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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  28.  8
    Filosofie aan de Universiteit van Amsterdam.Michiel| Stokhof van Lambalgen - 2010 - Tijdschrift Voor Filosofie 72 (4):645.
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  29.  3
    On a Spector Ultrapower for the Solovay Model.Vladimir Kanovei & Michiel van Lambalgen - 1997 - Mathematical Logic Quarterly 43 (3):389-395.
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  30.  3
    Language Evolution: Enlarging the Picture.Keith Stenning & Michiel van Lambalgen - 2012 - In David McFarland, Keith Stenning & Maggie McGonigle (eds.), The Complex Mind. Palgrave-Macmillan.
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  31.  5
    Editorial: An Invitation to Cognitive Science. [REVIEW]Michiel van Lambalgen - 2001 - Journal of Logic, Language and Information 10 (2):145-146.
  32.  1
    Dembski William A.. Randomness by Design. Noûs, Vol. 25 (1991), Pp. 75–106.Michiel van Lambalgen - 1992 - Journal of Symbolic Logic 57 (2):758-759.
  33. The Representation of Takeuti's ⫫-Operator.Roger M. Cooke & Michiel van Lambalgen - 1983 - 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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  34. Nominalization, the Progressive and Event Calculus.Fritz Hamm & Michiel van Lambalgen - 2003 - Linguistics and Philosophy 26:381-458.
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  35. Explaining Intersubjectivity. A Comment on Arie Verhagen, Constructions of Intersubjectivity.Wolfram Hinzen & Michiel van Lambalgen - 2008 - Cognitive Linguistics 19 (1).
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  36. Human Reasoning and Cognitive Science.Keith Stenning & Michiel van Lambalgen - 2008 - Boston, USA: MIT Press.
    In the late summer of 1998, the authors, a cognitive scientist and a logician, started talking about the relevance of modern mathematical logic to the study of human reasoning, and we have been talking ever since. This book is an interim report of that conversation. It argues that results such as those on the Wason selection task, purportedly showing the irrelevance of formal logic to actual human reasoning, have been widely misinterpreted, mainly because the picture of logic current in psychology (...)
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  37. Experimenteren met rationaliteit.Michel van Lambalgen - 2010 - Algemeen Nederlands Tijdschrift voor Wijsbegeerte 102 (1):38-48.
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  38. Review: William A. Dembski, Randomness by Design. [REVIEW]Michael van Lambalgen - 1992 - Journal of Symbolic Logic 57 (2):758-759.