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Timm Lampert
Humboldt-University, Berlin
  1. Adequate Formalization.Michael Baumgartner & Timm Lampert - 2008 - Synthese 164 (1):93-115.
    This article identifies problems with regard to providing criteria that regulate the matching of logical formulae and natural language. We then take on to solve these problems by defining a necessary and sufficient criterion of adequate formalization. On the basis of this criterion we argue that logic should not be seen as an ars iudicandi capable of evaluating the validity or invalidity of informal arguments, but as an ars explicandi that renders transparent the formal structure of informal reasoning.
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  2.  13
    Underdetermination and Provability: A Reply to Olaf Müller.Timm Lampert - 2017 - British Journal for the History of Philosophy 25 (2):389-400.
    Newton claims to have proven the heterogeneity of light through his experimentum crucis. However, Olaf Müller has worked out in detail Goethe’s idea that one could likewise prove the heterogeneity of darkness by inverting Newton’s famous experiment. Müller concludes that this invalidates Newton’s claim of proof. Yet this conclusion only holds if the heterogeneity of light and the heterogeneity of darkness is logically incompatible. This paper shows that this is not the case. Instead, in Quine’s terms, we have two logically (...)
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  3.  41
    The Problem of Validity Proofs.Michael Baumgartner & Timm Lampert - 2010 - Grazer Philosophische Studien 80 (1):79-109.
    In philosophical contexts, logical formalisms are often resorted to as a means to render the validity and invalidity of informal arguments formally transparent. Since Oliver and Massey , however, it has been recognized in the literature that identifying valid arguments is easier than identifying invalid ones. Still, any viable theory of adequate logical formalization should at least reliably identify valid arguments. This paper argues that accounts of logical formalization as developed by Blau and Brun do not meet that benchmark. The (...)
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  4.  28
    Wittgenstein’s Elimination of Identity for Quantifier-Free Logic.Timm Lampert & Markus Säbel - forthcoming - Review of Symbolic Logic:1-21.
    One of the central logical ideas in Wittgenstein's Tractatus logico-philosophicus is the elimination of the identity sign in favor of the so-called "exclusive interpretation" of names and quantifiers requiring different names to refer to different objects and different variables to take different values. In this paper, we examine a recent development of these ideas in papers by Kai Wehmeier. We diagnose two main problems of Wehmeier's account, the first concerning the treatment of individual constants, the second concerning so-called "pseudo-propositions" of (...)
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  5.  41
    Wittgenstein and Gödel: An Attempt to Make ‘Wittgenstein’s Objection’ Reasonable†.Timm Lampert - 2018 - Philosophia Mathematica 26 (3):324-345.
    According to some scholars, such as Rodych and Steiner, Wittgenstein objects to Gödel’s undecidability proof of his formula $$G$$, arguing that given a proof of $$G$$, one could relinquish the meta-mathematical interpretation of $$G$$ instead of relinquishing the assumption that Principia Mathematica is correct. Most scholars agree that such an objection, be it Wittgenstein’s or not, rests on an inadequate understanding of Gödel’s proof. In this paper, I argue that there is a possible reading of such an objection that is, (...)
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  6. Wittgensteins Physikalismus Die Sinnesdatenanalyse des Tractatus Logico-Philosophicus in Ihrem Historischen Kontext.Timm Lampert - 2000
    Das Buch entwickelt einen neuartigen, physikalistischen Interpretationsansatz zu Wittgensteins Tractatus Logico-Philosophicus. Das traditionelle Urteil, Wittgenstein habe im Tractatus keine klare Vorstellung der Analyse gehabt, wird widerlegt. Auf der Basis der Rekonstruktion der um die Jahrhundertwende etablierten Sinnesdatenanalysen im allgemeinen und der Farbanalysen im besonderen wird nachgewiesen, daß Wittgensteins Tractatus eine physikalische Sinnesdatenanalyse voraussetzt. Auf diesem Hintergrund werden Wittgensteins allgemeine Auffassungen zur Analyse der Welt und Sprache gedeutet, begründet und exemplifiziert. Der Tractatus liefert die philosophische Klärung des mechanistischen Weltbildes von Boltzmann (...)
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  7.  15
    Introduction.Timm Lampert & Michael Hampe - 2018 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 49 (4):499-501.
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  8.  49
    Psychophysical and Tractarian Analysis.Timm Lampert - 2003 - Perspectives on Science 11 (3):285-317.
    This paper argues for a physicalistic interpretation of Wittgenstein's Tractatus Logico-Philosophicus. Wittgenstein's general conception of world and language analysis is interpreted and exemplified in relation to the historical background of the psychophysical analysis of sense data and, in particular, color analysis. Three of his main principles of analysis—the principle of independence, the context principle and the principle of atomism—are interpreted and justified on the background of physicalism. From his proof of color exclusion in the Tractatus, it is shown that Wittgenstein (...)
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  9.  21
    Wittgenstein's Ab-Notation: An Iconic Proof Procedure.Timm Lampert - 2017 - History and Philosophy of Logic 38 (3):239-262.
    This paper systematically outlines Wittgenstein's ab-notation. The purpose of this notation is to provide a proof procedure in which ordinary logical formulas are converted into ideal symbols that identify the logical properties of the initial formulas. The general ideas underlying this procedure are in opposition to a traditional conception of axiomatic proof and are related to Peirce's iconic logic. Based on Wittgenstein's scanty remarks concerning his ab-notation, which almost all apply to propositional logic, this paper explains how to extend his (...)
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  10.  21
    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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  11. Wittgenstein on Pseudo-Irrationals, Diagonal Numbers and Decidability.Timm Lampert - 2008 - In The Logica Yearbook 2008. London: pp. 95-111.
    In his early philosophy as well as in his middle period, Wittgenstein holds a purely syntactic view of logic and mathematics. However, his syntactic foundation of logic and mathematics is opposed to the axiomatic approach of modern mathematical logic. The object of Wittgenstein’s approach is not the representation of mathematical properties within a logical axiomatic system, but their representation by a symbolism that identifies the properties in question by its syntactic features. It rests on his distinction of descriptions and operations; (...)
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  12. Wittgenstein’s ‘Notorious Paragraph’ About the Gödel Theorem.Timm Lampert - 2006 - In Contributions of the Austrian Wittgenstein Societ. pp. 168-171.
    In §8 of Remarks on the Foundations of Mathematics (RFM), Appendix 3 Wittgenstein imagines what conclusions would have to be drawn if the Gödel formula P or ¬P would be derivable in PM. In this case, he says, one has to conclude that the interpretation of P as “P is unprovable” must be given up. This “notorious paragraph” has heated up a debate on whether the point Wittgenstein has to make is one of “great philosophical interest” revealing “remarkable insight” in (...)
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  13.  32
    Paul Engelmanns Psychologie graphisch dargestellt.Gerd Grasshoff & Timm Lampert - 1996 - Grazer Philosophische Studien 52 (1):93-126.
    Paul Engelmann hat über zwanzig Jahre seines Lebens an einer systematischen Darstellung der Psychologie mittels einer von ihm entwickelten graphischen Methode gearbeitet. Das Resultat dieser Arbeit bildet seine Psychologie graphisch dargestellt, die sich in seinem Nachlaß befindet. In diesem Werk will Engelmann die Klärung geistiger Aufgabengebiete, wie sie seine Lehrer Karl Kraus, Adolf Loos und Ludwig Wittgenstein betrieben haben, in der Psychologie fortsetzen. Hierbei fiihrt er Freuds Methode weiter, psychische Erscheinungen räumlich darzustellen, und wendet die Bildtheorie Wittgensteins auf seine Theorie (...)
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  14.  7
    Paul Engelmanns Psychologie graphisch dargestellt.Gerd Grasshoff & Timm Lampert - 1996 - Grazer Philosophische Studien 52 (1):93-126.
    Paul Engelmann hat über zwanzig Jahre seines Lebens an einer systematischen Darstellung der Psychologie mittels einer von ihm entwickelten graphischen Methode gearbeitet. Das Resultat dieser Arbeit bildet seine Psychologie graphisch dargestellt, die sich in seinem Nachlaß befindet. In diesem Werk will Engelmann die Klärung geistiger Aufgabengebiete, wie sie seine Lehrer Karl Kraus, Adolf Loos und Ludwig Wittgenstein betrieben haben, in der Psychologie fortsetzen. Hierbei fiihrt er Freuds Methode weiter, psychische Erscheinungen räumlich darzustellen, und wendet die Bildtheorie Wittgensteins auf seine Theorie (...)
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  15.  92
    A Decision Procedure for Herbrand Formulas Without Skolemization.Timm Lampert - manuscript
    This paper describes a decision procedure for disjunctions of conjunctions of anti-prenex normal forms of pure first-order logic (FOLDNFs) that do not contain V within the scope of quantifiers. The disjuncts of these FOLDNFs are equivalent to prenex normal forms whose quantifier-free parts are conjunctions of atomic and negated atomic formulae (= Herbrand formulae). In contrast to the usual algorithms for Herbrand formulae, neither skolemization nor unification algorithms with function symbols are applied. Instead, a procedure is described that rests on (...)
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  16. Colors From a Logical Point of View.Timm Lampert - 2011 - In Gudrun Wolfschmidt (ed.), Colors in Culture. Hamburg: Tredition. pp. 24-39.
    This paper illustrates what a philosophical and a logical investigation of colors amounts to in contrast to other kinds of color analysis such as physical, physiological, chemical, psychological or cultural analysis of colors. Neither a philosophical nor a logical analysis of colors is concerned with specific aspects of colors. Rather, these kinds of color analysis are concerned with what one might call “logical foundations of color theory”. I will illustrate this first by considering philosophical and then logical analysis of colors.
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  17. Decidability of First-order Logic.Timm Lampert - 2007 - Ruch Filozoficzny 4 (4).
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  18. Decidability of First-Order Logic Exemplified. Part I.Timm Lampert - 2008 - Ruch Filozoficzny 65 (3).
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  19. Decidability of First-Order Logic Exemplified. Part II.Timm Lampert - 2008 - Ruch Filozoficzny 65 (4).
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  20. Explaining formulae of first order logic.Timm Lampert - 2006 - Ruch Filozoficzny 3 (3).
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  21.  68
    Farbausschluss im Tractatus logico-philosophicus.Timm Lampert - 2002 - In Wittgenstein-Jahrbuch. pp. 87-96.
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  22. Grundlagen der Logik und Mathematik: Der Standpunkt Wittgensteins.Timm Lampert - 2003 - In Knowledge and Belief. pp. 44-51.
    Es wird gezeigt, dass Wittgenstein in seiner Frühphilosophie ein nicht-axiomatisches Beweisverständnis entwickelt, für das sich das Problem der Begründung der Axiome nicht stellt. Nach Wittgensteins Beweisverständnis besteht der Beweis einer formalen Eigenschaft einer Formel – z.B. der logischen Wahrheit einer prädikatenlogischen Formel oder der Gleichheit zweier arithmetischer Ausdrücke – in der Transformation der Formel in eine andere Notation, an deren Eigenschaften sich entscheiden lässt, ob die zu beweisende formale Eigenschaft besteht oder nicht besteht. Dieses Verständnis grenzt Wittgenstein gegenüber einem axiomatischen (...)
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  23. Geht es beim Naturalismus überall mit rechten Dingen zu?Timm Lampert - 2006 - In Erkenntnis – Wissen – Ethik , Vol.17, No. 3,. pp. 363-365.
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  24. Klassische Logik. Einführung mit interaktiven Übungen.Timm Lampert - 2005 - Frankfurt: Ontos.
    Das Buch vermittelt die Grundlagen der Aussagen- und erweiterten Prädikatenlogik in 12 Lektionen. Neben Techniken zum überprüfen der Schlüssigkeit von Argumenten bilden die Kunst des Formalisierens wissenschaftlicher Argumente und metalogische Fragen den Inhalt des Buches. Das Buch eignet sich in Verbindung mit begleitenden interaktiven Übungseinheiten und Klausuren, die ber Internet zugänglich sind, sowohl zum Selbststudium als auch für Einführungskurse in die Logik. Die zweite berarbeitete Auflage erscheint in einem größeren und besser lesbaren Format.
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  25.  13
    Logische Gültigkeit umgangssprachlicher Argumente Zur Logik der Umgangssprache.Timm Lampert - 2017 - Zeitschrift für Philosophische Forschung 71 (1):117-122.
    This paper discusses a definition of logical validity of arguments that is provided by Christoph Schamberger in his book Logik der Umgangssprache (2016). The paper identifies some problems of the given definition. It argues that any definition reducing the logical validity of ordinary arguments to the logical validity of their formalization does not meet the criteria of non-circularity, unambiguousness, correctness and completeness. Finally, the paper shows that Schamberger’s filter logic brings about that his definition does also not meet the standards (...)
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  26. Newton vs. Goethe.Timm Lampert - 2007 - In Trinkt, o Augen, was die Wimper hält...”. Farbe und Farben in Wissenschaft und Kunst , Berner Universitätsschriften Bd. 52. Berne: Haupt. pp. 259-284.
    Anhand der genaueren Analyse von Newtons experimentum crucis und der Argumentation, die er auf dieses Experiment stützt, sowie Goethes Kritik hieran sollen im Folgenden zwei verbreitete Vorurteile revidiert werden: -/- 1. Newton ist kein Dogmatiker, der methodische Ansprüche vertritt, die er nicht einlösen kann, sondern gründet seinen Anspruch, experimentelle Beweise führen zu können, auf einer vorbildlichen Methodologie kausaler Erklärungen, was seine Kritiker allerdings übersehen. 2. Goethe ist kein Antiwissenschaftler, der einen einzigartigen Kontrapunkt zur vorherrschenden wissenschaftlichen Tradition bildet, sondern steht inmitten (...)
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  27. Paradoxes and Diagonalization.Timm Lampert - 2007 - In Proceedings of the GAP Conference. Paderborn: Mentis. pp. 50-59.
    In this paper Richard’s Paradox and the Proof of Cantor’s Theorem are compared. It is argued that there is no conclusive reason to treat them differently such as to call the one a Paradox and the other a Proof.
     
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  28.  81
    Semantic Criteria of Correct Formalization.Timm Lampert - 2010 - In Proceedings of Gap Conference.
    This paper compares several models of formalization. It articulates criteria of correct formalization and identifies their problems. All of the discussed criteria are so called “semantic” criteria, which refer to the interpretation of logical formulas. However, as will be shown, different versions of an implicitly applied or explicitly stated criterion of correctness depend on different understandings of “interpretation” in this context.
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  29.  31
    Turing's Fallacies.Timm Lampert - 2017
    This paper reveals two fallacies in Turing's undecidability proof of first-order logic (FOL), namely, (i) an 'extensional fallacy': from the fact that a sentence is an instance of a provable FOL formula, it is inferred that a meaningful sentence is proven, and (ii) a 'fallacy of substitution': from the fact that a sentence is an instance of a provable FOL formula, it is inferred that a true sentence is proven. The first fallacy erroneously suggests that Turing's proof of the non-existence (...)
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  30.  8
    Thomas Kirchhoff, Nicole C. Karafyliss, et al. eds. Naturphilosophie: Ein Lehr‑ und Studienbuch. Tübingen: Mohr Siebeck, 2017. 368 pp. [REVIEW]Timm Lampert - 2018 - Philosophy, Theology and the Sciences 5 (2):289.
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  31. Undecidability Reconsidered.Timm Lampert - 2007 - In A. Costa-Leite J. Y. Bezieau (ed.), Dimensions of Logical Concepts. pp. 33-68.
    In vol. 2 of Grundlagen der Mathematik Hilbert and Bernays carry out their undecid- ability proof of predicate logic basing it on their undecidability proof of the arithmeti- cal systemZ00. In this paper, the latter proof is reconstructed and summarized within a formal derivation schema. Formalizing the proof makes the presumed use of a meta language explicit by employing formal predicates as propositional functions, with ex- pressions as their arguments. In the final section of the paper, the proof is analyzed (...)
     
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  32.  2
    Wittgenstein’s Conjecture.Timm Lampert - 2019 - In Gabriele M. Mras, Paul Weingartner & Bernhard Ritter (eds.), Philosophy of Logic and Mathematics: Proceedings of the 41st International Ludwig Wittgenstein Symposium. De Gruyter. pp. 515-534.
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  33.  55
    Wittgenstein's Programme of a New Logic.Timm Lampert - 2007 - In Contributions of the Austrian Wittgenstein Society 07. pp. 125-128.
    The young Wittgenstein called his conception of logic “New Logic” and opposed it to the “Old Logic”, i.e. Frege’s and Russell’s systems of logic. In this paper the basic objects of Wittgenstein’s conception of a New Logic are outlined in contrast to classical logic. The detailed elaboration of Wittgenstein’s conception depends on the realization of his ab-notation for first order logic.
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  34. Zur Wissenschaftstheorie der Farbenlehre.Timm Lampert - 2000 - Berne: Berne Studies in the History and Philosophy of Sciences.
    Es wird anhand von Fallbeispielen aus der Geschichte der Farbenlehre inwissenschaftstheoretische Probleme eingeführt. Das Buch dient als Grundlagefür eine anwendungsbezogene Lehre und als Einführung in folgende ThemenbereicheNewton vs. Goethe; Theorie und Experiment, Colormetrie; Empfindungsmessung;Helmholtz vs. Hering; Theorienevaluation, Psychologische Farbenlehre; Phänomenologie,Farbausschluss; Beweistheorie, Farbdefinitionen; Theorien- und Begriffsbildung.Neben Aufgaben, Texten und Lösungsvorschlägen finden sich eine Bibliographiesowie Einleitungen zu den behandelten Fragen und Lösungsvorschlägen derjeweiligen Themen.
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  35.  84
    Georg Brun, Die richtige Formel, Philosophische Probleme der logischen Formalisierung.Timm Lampert - 2004 - Erkenntnis 60 (3):417-421.
  36. Ludwig Wittgensteins Logisch-Philosophische Abhandlung Entstehungsgeschichte Und Herausgabe der Typoskripte Und Korrekturexemplare.Ludwig Wittgenstein, Gerd Grasshoff & Timm Lampert - 2004
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