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Das unendliche in der mathematik und seine ausschaltung

und Wien,: F. Deuticke (1930)

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  1. The development of mathematical logic from Russell to Tarski, 1900-1935.Paolo Mancosu, Richard Zach & Calixto Badesa - 2011 - In Leila Haaparanta (ed.), The development of modern logic. New York: Oxford University Press.
    The period from 1900 to 1935 was particularly fruitful and important for the development of logic and logical metatheory. This survey is organized along eight "itineraries" concentrating on historically and conceptually linked strands in this development. Itinerary I deals with the evolution of conceptions of axiomatics. Itinerary II centers on the logical work of Bertrand Russell. Itinerary III presents the development of set theory from Zermelo onward. Itinerary IV discusses the contributions of the algebra of logic tradition, in particular, Löwenheim (...)
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  • Austrian Economics and Austrian Philosophy.Barry Smith - 1986 - In Smith W. Grassl and B. (ed.), Austrian Economics and Austrian Philosophy. Helm Croom. pp. 1-36.
    Austrian economics starts out from the thesis that the objects of economic science differ from those of the natural sciences because of the centrality of the economic agent. This allows a certain a priori or essentialistic aspect to economic science of a sort which parallels the a priori dimension of psychology defended by Brentano and his student Edmund Husserl. We outline these parallels, and show how the theory of a priori dependence relations outlined in Husserl’s Logical Investigations can throw light (...)
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  • Felix Kaufmann – “A Reasonable Positivist”?Alexander Linsbichler - 2019 - In Friedrich Stadler (ed.), Ernst Mach – Life, Work, Influence. Springer Verlag. pp. 709-719.
    1 A Versatile Mediator 2 Theory and Method in the Social Sciences 3 Kaufmann and Logical Empiricism 4 Kaufmann and the Liberal Wing of Viennese Late Enlightenment 5 Kaufmann and Popper 6 Kaufmann in the United States 7 Rediscovering Kaufmann's Methodology.
     
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  • Brouwer and Weyl: The Phenomenology and Mathematics of the Intuitive Continuumt.Mark Van Atten, Dirk van Dalen & Richard Tieszen - 2002 - Philosophia Mathematica 10 (2):203-226.
    Brouwer and Weyl recognized that the intuitive continuum requires a mathematical analysis of a kind that set theory is not able to provide. As an alternative, Brouwer introduced choice sequences. We first describe the features of the intuitive continuum that prompted this development, focusing in particular on the flow of internal time as described in Husserl's phenomenology. Then we look at choice sequences and their logic. Finally, we investigate the differences between Brouwer and Weyl, and argue that Weyl's conception of (...)
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  • Phenomenological Ideas in the Philosophy of Mathematics. From Husserl to Gödel.Roman Murawski Thomas Bedürftig - 2018 - Studia Semiotyczne 32 (2):33-50.
    The paper is devoted to phenomenological ideas in conceptions of modern philosophy of mathematics. Views of Husserl, Weyl, Becker andGödel will be discussed and analysed. The aim of the paper is to show the influence of phenomenological ideas on the philosophical conceptions concerning mathematics. We shall start by indicating the attachment of Edmund Husserl to mathematics and by presenting the main points of his philosophy of mathematics. Next, works of two philosophers who attempted to apply Husserl’s phenomenological ideas to the (...)
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  • Learning Logical Tolerance: Hans Hahn on the Foundations of Mathematics.Thomas E. Uebel - 2005 - History and Philosophy of Logic 26 (3):175-209.
    Hans Hahn's long-neglected philosophy of mathematics is reconstructed here with an eye to his anticipation of the doctrine of logical pluralism. After establishing that Hahn pioneered a post-Tractarian conception of tautologies and attempted to overcome the traditional foundational dispute in mathematics, Hahn's and Carnap's work is briefly compared with Karl Menger's, and several significant agreements or differences between Hahn's and Carnap's work are specified and discussed.
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  • Between Vienna and Berlin: The Immediate Reception of Godel's Incompleteness Theorems.Paolo Mancosu - 1999 - History and Philosophy of Logic 20 (1):33-45.
    What were the earliest reactions to Gödel's incompleteness theorems? After a brief summary of previous work in this area I analyse, by means of unpublished archival material, the first reactions in Vienna and Berlin to Gödel's groundbreaking results. In particular, I look at how Carnap, Hempel, von Neumann, Kaufmann, and Chwistek, among others, dealt with the new results.
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  • The ontological status of the principle of the excluded middle.Daniël F. M. Strauss - 1991 - Philosophia Mathematica (1):73-90.
  • Intuitionism in the Philosophy of Mathematics: Introducing a Phenomenological Account.Philipp Berghofer - 2020 - Philosophia Mathematica 28 (2):204-235.
    The aim of this paper is to establish a phenomenological mathematical intuitionism that is based on fundamental phenomenological-epistemological principles. According to this intuitionism, mathematical intuitions are sui generis mental states, namely experiences that exhibit a distinctive phenomenal character. The focus is on two questions: what does it mean to undergo a mathematical intuition and what role do mathematical intuitions play in mathematical reasoning? While I crucially draw on Husserlian principles and adopt ideas we find in phenomenologically minded mathematicians such as (...)
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