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  1. "A Mathematical Proof Must Be Surveyable" What Wittgenstein Meant by This and What It Implies.Felix Mühlhölzer - 2006 - Grazer Philosophische Studien 71 (1):57-86.
    In Part III of his Remarks on the Foundations of Mathematics Wittgenstein deals with what he calls the surveyability of proofs. By this he means that mathematical proofs can be reproduced with certainty and in the manner in which we reproduce pictures. There are remarkable similarities between Wittgenstein's view of proofs and Hilbert's, but Wittgenstein, unlike Hilbert, uses his view mainly in critical intent. He tries to undermine foundational systems in mathematics, like logicist or set theoretic ones, by stressing the (...)
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  2.  44
    Klassische Stoßmechanik.Wolfgang Balzer & Felix Mühlhölzer - 1982 - Zeitschrift Für Allgemeine Wissenschaftstheorie 13 (1):22-39.
    Mit der vorliegenden Arbeit verfolgen wir drei Ziele. Erstens exemplifizieren wir einige wissenschaftstheoretische Fragen und die zugehörigen Antworten am sehr einfachen Beispiel der klassischen Stoßmechanik. Zweitens läßt sich an diesem Beispiel besonders klar der Begriff des Meßmodells darstellen; insbesondere erhalten wir eine vollständige Übersicht über alle Meßmodelle. Und drittens erhalten wir ein schönes Beispiel für den Begriff der Reduktion einer Theorie auf eine andere, denn die Stoßmechanik läßt sich auf einfache Weise auf eine Spezialisierung der Klassischen Partikelmechanik reduzieren.
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  3. Das Phänomen der inkongruenten Gegenstücke aus Kantischer und heutiger Sicht.Felix Mühlhölzer - 1992 - Kant-Studien 83:436-453.
  4. On Objectivity.Felix Mühlhölzer - 1988 - Erkenntnis 28 (2):185 - 230.
    The following definition of objective is proposed: A statement S is objective if and only if in S all parameters that are relevant to its truth value are made explicit. The objectivity of predicates and relations can be defined in a similar manner. This simple conception of objectivity-which could be called explicitness conception of objectivity-can be found in Hermann Weyl and plays a central part in the natural sciences. There are grades of objectivity depending on the quality and the number (...)
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  5.  11
    Teil III der Bemerkungen über die Grundlagen der Mathematik und die zugrunde liegenden Manuskripte 122 und 117. Ein Vergleich. [REVIEW]Felix Mühlhölzer - 2012 - Wittgenstein-Studien 3 (1).
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  6.  41
    Equivalent Descriptions.Felix Mühlhölzer - 1991 - Erkenntnis 35 (1-3):77 - 97.
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  7.  68
    Wittgenstein’s Philosophy of Mathematics: Felix Mühlhölzer in Conversation with Sebastian Grève.Felix Mühlhölzer - 2014 - Nordic Wittgenstein Review 3 (2):151-180.
    Sebastian Grève interviews Felix Mühlhölzer on his work on the philosophy of mathematics.
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  8. Wittgenstein and the Regular Heptagon.Felix Mühlhölzer - 2001 - Grazer Philosophische Studien 62 (1):215-247.
    The later Wittgenstein holds that the sole function of mathematical propositions is to determine the concepts they invoke. In the paper this view is discussed by means of a single example: Wittgenstein's investigation of the concept of a regular heptagon as used in Euclidean geometry (i.e., the Euclidean constructiongame with rulerand compass) andinCartesian analytic geometry. Going on from some well-known passages in Wittgenstein's Lectures on the Foundations of Mathematics, and completing these passages, it is shown that Wittgenstein'sview makes perfectly good (...)
     
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  9.  52
    Zur Protophysik der Zeit: Eine erneute Kritik.Felix Mühlhölzer - 1981 - Zeitschrift Für Allgemeine Wissenschaftstheorie 12 (2):340-352.
    Peter Janichs konstruktiver Aufbau einer Chronometrie, wie er in der neuen Auflage seines Buches "Die Protophysik der Zeit" beschrieben ist, wird einer detaillierten Kritik unterzogen. Dabei kristallisieren sich drei ernste Probleme heraus: Das Problem der Eindeutigkeit der Leitlinie, das Problem der Transitivität der Begleitstellungen, und das Problem der eindeutigen Bestimmtheit der Uhren. Alle drei Probleme bleiben bei Janich unbewältigt, woraus folgt, daß seine Chronometrie in der vorliegenden Form zumindest unvollständig ist.
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  10.  14
    On Live and Dead Signs in Mathematics.Felix Mühlhölzer - 2014 - In Godehard Link (ed.), Formalism and Beyond: On the Nature of Mathematical Discourse. De Gruyter. pp. 183-208.
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  11.  46
    Science Without Reference?Felix Mühlhölzer - 1995 - Erkenntnis 42 (2):203 - 222.
  12.  6
    Mathematical Intuition and Natural Numbers: A Critical Discussion: Charles Parsons, Mathematical Thought and Its Objects, Cambridge University Press, New York, 2008, Xx+ 378 Pp. [REVIEW]Felix Mühlhölzer - 2010 - Erkenntnis 73 (2):265-292.
    Charles Parsons’ book “Mathematical Thought and Its Objects” of 2008 is critically discussed by concentrating on one of Parsons’ main themes: the role of intuition in our understanding of arithmetic. Parsons argues for a version of structuralism which is restricted by the condition that some paradigmatic structure should be presented that makes clear the actual existence of structures of the necessary sort. Parsons’ paradigmatic structure is the so-called ‘intuitive model’ of arithmetic realized by Hilbert’s strings of strokes. This paper argues (...)
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  13.  7
    Über Eine Mögliche Inkonsistenz in Chomskys Auffassung von Sprachregeln.Marianne Emödy & Felix Mühlhölzer - 1994 - In Ulla Wessels & Georg Meggle (eds.), Analyomen / Analyomen: Proceedings of the 1st Conference "Perspectives in Analytical Philosophy". De Gruyter. pp. 481-492.
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  14. Braucht Die Mathematik Eine Grundlegung?: Ein Kommentar des Teils Iii von Wittgensteins Bemerkungen Über Die Grundlagen der Mathematik.Felix Mühlhölzer - 2010 - Klostermann.
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  15. Der Zeitbegriff in der Speziellen Relativitätstheorie.Felix Mühlhölzer - 1986 - Erkenntnis 24 (2):235-252.
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  16.  15
    How Arithmetic is About Numbers. A Wittgenestinian Perspective.Felix Mühlhölzer - 2014 - Grazer Philosophische Studien 89 (1):39-59.
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  17.  13
    Language-Games and Forms of Life in Mathematics.Felix Mühlhölzer - 2018 - In Christian Martin (ed.), Language, Form of Life, and Logic: Investigations After Wittgenstein. De Gruyter. pp. 193-218.
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  18.  13
    LITERATURESSAY: Die Debatte um die Objektivität der Wissenschaft.Felix Mühlhölzer - 2001 - Deutsche Zeitschrift für Philosophie 49 (1):151-166.
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  19. Mathematical Intuition and Natural Numbers: A Critical Discussion: Charles Parsons, Mathematical Thought and Its Objects, Cambridge University Press, New York, 2008, Xx + 378 Pp.Felix Mühlhölzer - 2010 - Erkenntnis 73 (2):265-292.
    Charles Parsons’ book “Mathematical Thought and Its Objects” of 2008 (Cambridge University Press, New York) is critically discussed by concentrating on one of Parsons’ main themes: the role of intuition in our understanding of arithmetic (“intuition” in the specific sense of Kant and Hilbert). Parsons argues for a version of structuralism which is restricted by the condition that some paradigmatic structure should be presented that makes clear the actual existence of structures of the necessary sort. Parsons’ paradigmatic structure is the (...)
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  20. Nicht einmal ein Etwas.Felix Mühlhölzer - 2020 - Wittgenstein-Studien 11 (1):207-244.
    Not Even a Something. If one exclaims that a pain is not a Nothing, what one means is that one feels it and that, when felt, it is simply there. Why shouldn’t one then also say, contrary to PI 293 & 304, that it is ‘a Something’? One has to admit, however, that, as felt, it is only momentarily there, and when I ask whether the pain that I feel now is the same as the pain I felt earlier, I (...)
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  21. Quine and Davidson on Reference and Evidence.Felix Mühlhölzer - 1993 - In Ralf Stoecker (ed.), Reflecting Davidson: Donald Davidson Responding to an International Forum of Philosophers. W. De Gruyter. pp. 41-53.
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  22. Reductions of Mathematics: Foundation or Horizon?Felix Mühlhölzer - 2019 - In Gabriele M. Mras, Paul Weingartner & Bernhard Ritter (eds.), Philosophy of Logic and Mathematics. Berlin, Boston: De Gruyter. pp. 327-341.
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  23.  1
    Reductions of Mathematics: Foundation or Horizon?Felix Mühlhölzer - 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. 327-342.
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  24.  37
    „Seltsame Frage. –“– Eine Interpretation von PU § 263.Felix Mühlhölzer - 2014 - Wittgenstein-Studien 5 (1).
    Name der Zeitschrift: Wittgenstein-Studien Jahrgang: 5 Heft: 1 Seiten: 145-162.
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