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Wittgenstein and finitism

Synthese 105 (2):141 - 176 (1995)

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  1. Recursive analysis.R. L. Goodstein - 1961 - Mineola, N.Y.: Dover Publications.
    This graduate-level_text by a master in the field builds a function theory of the rational field that combines aspects of classical and intuitionist analysis. Topics include recursive convergence, recursive and relative continuity, recursive and relative differentiability, the relative integral, elementary functions, and transfinite ordinals. 1961 edition.
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  • Remarks on the Foundations of Mathematics.Ludwig Wittgenstein - 1956 - Oxford: Macmillan. Edited by G. E. M. Anscombe, Rush Rhees & G. H. von Wright.
    Wittgenstein's work remains, undeniably, now, that off one of those few philosophers who will be read by all future generations.
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  • Editor's Introduction.[author unknown] - forthcoming - Volume 3 - 2019 - Arendt Studies.
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  • Editor's Introduction.[author unknown] - forthcoming - Volume 2 - 2018 - Arendt Studies.
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  • Tractatus logico-philosophicus.Ludwig Wittgenstein, G. C. M. Colombo & Bertrand Russell - 1994 - New York: Routledge. Edited by Luciano Bazzocchi & P. M. S. Hacker.
    Bazzocchi disposes the text of the Tractatus in a user-friendly manner, exactly as Wittgenstein's decimals advise. This discloses the logical form of the book by distinct reading units, linked into a fashioned hierarchical tree. The text becomes much clearer and every reader can enjoy, finally, its formal and literary qualities.
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  • The Ghost of Modality.Hermann Weyl - 1940 - In Marvin Farber (ed.), Philosophical Essays in Memory of Edmund Husserl. New York,: Harvard University Press. pp. 278-304.
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  • Introduction to mathematical philosophy.Bertrand Russell - 1919 - New York: Dover Publications.
  • The undefinability of the set of natural numbers in the ramified Principia.John Myhill - 1974 - In George Nakhnikian (ed.), Bertrand Russell's philosophy. [London]: Duckworth. pp. 19--27.
     
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  • The Foundations of Mathematics and Other Logical Essays.Frank Plumpton Ramsey - 1925 - London, England: Routledge & Kegan Paul. Edited by R. B. Braithwaite.
  • The Logical Syntax of Language.Rudolf Carnap - 1937 - London: Routledge. Edited by Amethe Smeaton.
  • The logical syntax of language.Rudolf Carnap - 1937 - London,: K. Paul, Trench, Trubner & co.. Edited by Amethe Smeaton.
    Available for the first time in 20 years, here is the Rudolf Carnap's famous principle of tolerance by which everyone is free to mix and match the rules of ...
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  • Constructive formalism.R. L. Goodstein - 1951 - Leicester [Eng.]: University College.
  • Remarks on the foundations of mathematics.Ludwig Wittgenstein - 1956 - Oxford [Eng.]: Blackwell. Edited by G. E. M. Anscombe, Rush Rhees & G. H. von Wright.
  • An introduction to Wittgenstein's Tractatus.Gertrude Elizabeth Margaret Anscombe - 1959 - South Bend, Ind.: St. Augustine's Press.
    Anscombe guides us through the Tractatus and, thereby, Wittgenstein's early philosophy as a whole. She shows in particular how his arguments developed out of the discussions of Russell and Frege. This reprint is of the fourth, corrected edition.
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  • Truth and other enigmas.Michael Dummett - 1978 - Cambridge: Harvard University Press.
    A collection of all but two of the author's philosophical essays and lectures originally published or presented before August 1976.
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  • Culture and value.Ludwig Wittgenstein - 1977 - Chicago: University of Chicago Press. Edited by G. H. von Wright & Heikki Nyman.
    Selections from the notebooks of the distinguished philosopher discuss subjects such as music, religion, thinking, science, architecture, and civilization.
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  • Notebooks, 1914-1916.Ludwig Wittgenstein - 1961 - Chicago: University of Chicago Press. Edited by G. H. von Wright & G. E. M. Anscombe.
    Intellectual diary of a thinker of the school of Logical Positivism showing the day-by-day development of his philosophical ideas.
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  • The Autobiography of Bertrand Russell.Bertrand Russell - 1967 - New York: Routledge.
    Bertrand Russell was born in 1872 and died in 1970. One of the most influential figures of the twentieth century, he transformed philosophy and can lay claim to being one of the greatest philosophers of all time. He was a Nobel Prize winner for Literature and was imprisoned several times as a result of his pacifism. His views on religion, education, sex, politics and many other topics, made him one of the most read and revered writers of the age. This, (...)
     
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  • The Autobiography of Bertrand Russell.Bertrand Russell - 1967 - New York: Routledge.
    Bertrand Russell was born in 1872 and died in 1970. One of the most influential figures of the twentieth century, he transformed philosophy and can lay claim to being one of the greatest philosophers of all time. He was a Nobel Prize winner for Literature and was imprisoned several times as a result of his pacifism. His views on religion, education, sex, politics and many other topics, made him one of the most read and revered writers of the age. This, (...)
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  • Wittgenstein on the Foundations of Mathematics.Crispin Wright - 1980 - Cambridge, Mass.: Harvard University Press.
  • Philosophical remarks.Ludwig Wittgenstein - 1975 - Chicago: University of Chicago Press. Edited by Rush Rhees.
    When in May 1930, the Council of Trinity College, Cambridge, had to decide whether to renew Wittgenstein's research grant, it turned to Bertrand Russell for an assessment of the work Wittgenstein had been doing over the past year. His verdict: "The theories contained in this new work . . . are novel, very original and indubitably important. Whether they are true, I do not know. As a logician who likes simplicity, I should like to think that they are not, but (...)
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  • Principia Mathematica.A. N. Whitehead & B. Russell - 1927 - Annalen der Philosophie Und Philosophischen Kritik 2 (1):73-75.
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  • Über die Neue Grundlagenkrise der Mathematik.Hermann Weyl - 1957 - Journal of Symbolic Logic 22 (1):81-82.
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  • Mathematics and its foundations.A. G. D. Watson - 1938 - Mind 47 (188):440-451.
  • Mathematics and Its Foundations.A. G. D. Watson - 1939 - Journal of Symbolic Logic 4 (3):130-131.
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  • The General Form of the Operation in Wittgenstein's Tractatus.Göran Sundholm - 1992 - Grazer Philosophische Studien 42 (1):57-76.
    The paper offers an interpretation of thesis 6.01. The treatment touches upon variables, identity, elementary propositions, internal relations. Klammerausdrücke, and operations. Wittenstein's notations are found not to cover the particular form of definition by induction that is used at 6 and 6.01. It is concluded that Wittgenstein's ability to design of a formal system of logic does not match his outstanding logico-philosophical insight.
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  • The General Form of the Operation in Wittgenstein's Tractatus.Göran Sundholm - 1992 - Grazer Philosophische Studien 42 (1):57-76.
    The paper offers an interpretation of thesis 6.01. The treatment touches upon variables, identity, elementary propositions, internal relations. Klammerausdrücke, and operations. Wittenstein's notations are found not to cover the particular form of definition by induction that is used at 6 and 6.01. It is concluded that Wittgenstein's ability to design of a formal system of logic does not match his outstanding logico-philosophical insight.
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  • Generality, truth functions, and expressive capacity in the tractatus.Scott Soames - 1983 - Philosophical Review 92 (4):573-589.
  • Primitive Recursive Functions.Raphael M. Robinson - 1948 - Journal of Symbolic Logic 13 (2):113-114.
  • Universals.Frank P. Ramsey - 1925 - Mind 34 (136):401-417.
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  • Notes on Philosophy, Probability and Mathematics. [REVIEW]Brad Armendt - 1994 - Philosophical Review 103 (4):713-715.
    Review of Maria Carla Galavotti (ed), Notes on Philosophy, Probability and Mathematics, 1991, Bibliopolis. Notes are selected from manuscripts by Frank Plumpton Ramsey at the University of Pittsburgh's Hillman Library.
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  • Facts and Propositions.Frank P. Ramsey - 1927 - Aristotelian Society Supplementary Volume 7 (1):153-170.
  • Wittgenstein, phenomenology and what it makes sense to say.Robert Alva Noë - 1994 - Philosophy and Phenomenological Research 54 (1):1-42.
    Die blosse Redensart "ich nehme x wahr" ist schon aus der physikalischen Ausdrucksweise genommen und x soll hier ein physikalischer Gegenstand—z.B. ein Körper—sein. Es ist schon falsch, diese Redeweise in der Phänomenologie zu verwenden, wo dann x ein Datum bedeuten muss. Denn nun kann auch "ich" und "nehme wahr" nicht den Sinn haben, wie oben.
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  • Foundations of Constructive Analysis.Errett Bishop - 1967 - New York, NY, USA: Mcgraw-Hill.
    This book, Foundations of Constructive Analysis, founded the field of constructive analysis because it proved most of the important theorems in real analysis by constructive methods. The author, Errett Albert Bishop, born July 10, 1928, was an American mathematician known for his work on analysis. In the later part of his life Bishop was seen as the leading mathematician in the area of Constructive mathematics. From 1965 until his death, he was professor at the University of California at San Diego.
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  • Foundations of Constructive Mathematics.Michael J. Beeson - 1932 - Springer Verlag.
  • What are numbers?John Mayberry - 1988 - Philosophical Studies 54 (3):317 - 354.
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  • Ramsey's Theory of Truth and the Truth of Theories: A Synthesis of Pragmatism and Intuitionism in Ramsey's Last Philosophy.Ulrich Majer - 1991 - Theoria 57 (3):162-195.
  • The Infinite in Mathematics.Felix Kaufmann & Brian Mcguinness - 1978 - Philosophical Review 89 (1):137-140.
  • Grundlagen der Mathematik I.David Hilbert & Paul Bernays - 1968 - Springer.
    Die Leitgedanken meiner Untersuchungen über die Grundlagen der Mathematik, die ich - anknüpfend an frühere Ansätze - seit 1917 in Besprechungen mit P. BERNAYS wieder aufgenommen habe, sind von mir an verschiedenen Stellen eingehend dargelegt worden. Diesen Untersuchungen, an denen auch W. ACKERMANN beteiligt ist, haben sich seither noch verschiedene Mathematiker angeschlossen. Der hier in seinem ersten Teil vorliegende, von BERNAYS abgefaßte und noch fortzusetzende Lehrgang bezweckt eine Darstellung der Theorie nach ihren heutigen Ergebnissen. Dieser Ergebnisstand weist zugleich die Richtung (...)
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  • Function Theory in an Axiom-free Equation Calculus.R. L. Goodstein - 1946 - Journal of Symbolic Logic 11 (1):24-26.
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  • Development of mathematical logic.Reuben Lewis Goodstein - 1971 - London,: Logos Press.
  • Wittgenstein.Robert J. Fogelin - 1976 - New York: Routledge.
    This book is available either individually, or as part of the specially-priced Arguments of the Philosphers Collection.
  • Review: F. William Lawvere, An Elementary Theory of the Category of sets. [REVIEW]Calvin C. Elgot - 1972 - Journal of Symbolic Logic 37 (1):191-192.
  • Logic.W. E. Johnson - 1925 - Philosophical Review 34 (1):79-87.
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  • Ramsey and Wittgenstein on Scientific Theories.Rosaria Egidi - 1991 - Theoria 57 (3):196-210.
  • Wittgenstein's philosophy of mathematics.Michael Dummett - 1959 - Philosophical Review 68 (3):324-348.
  • Wittgenstein's Philosophy of Mathematics.Michael Dummett - 1997 - Journal of Philosophy 94 (7):166--85.
  • The Logical Syntax of Language.Rudolph Carnap - 1936 - Philosophical Review 46 (5):549-553.
  • A Companion to Wittgenstein’s Tractatus.Max Black - 1964 - Cambridge University Press.
    Parts of the book date back to and some of the concluding remarks on ethics and the will may have been composed still earlier, when Wittgenstein admired ...
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  • Foundations of Constructive Analysis.John Myhill - 1972 - Journal of Symbolic Logic 37 (4):744-747.