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Richard Tieszen [54]R. Tieszen [10]Richard L. TIESZEN [1]
  1. Phenomenology, Logic, and the Philosophy of Mathematics.Richard Tieszen - 2005 - Cambridge University Press.
    Offering a collection of fifteen essays that deal with issues at the intersection of phenomenology, logic, and the philosophy of mathematics, this 2005 book is divided into three parts. Part I contains a general essay on Husserl's conception of science and logic, an essay of mathematics and transcendental phenomenology, and an essay on phenomenology and modern pure geometry. Part II is focused on Kurt Godel's interest in phenomenology. It explores Godel's ideas and also some work of Quine, Penelope Maddy and (...)
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  2.  70
    After Gödel: Platonism and Rationalism in Mathematics and Logic.Richard Tieszen - 2011 - Oxford University Press.
    Gödel's relation to the work of Plato, Leibniz, Kant, and Husserl is examined, and a new type of platonic rationalism that requires rational intuition, called ...
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  3.  23
    Mathematical Realism and Transcendental Phenomenological Realism.Richard Tieszen - 2010 - In Mirja Hartimo (ed.), Phenomenology and Mathematics. Springer. pp. 1--22.
  4.  71
    The Philosophical Background of Weyl's Mathematical Constructivism.Richard Tieszen - 2000 - Philosophia Mathematica 8 (3):274-301.
    Weyl's inclination toward constructivism in the foundations of mathematics runs through his entire career, starting with Das Kontinuum. Why was Weyl inclined toward constructivism? I argue that Weyl's general views on foundations were shaped by a type of transcendental idealism in which it is held that mathematical knowledge must be founded on intuition. Kant and Fichte had an impact on Weyl but HusserFs transcendental idealism was even more influential. I discuss Weyl's views on vicious circularity, existence claims, meaning, the continuum (...)
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  5.  37
    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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  6.  77
    Free Variation and the Intuition of Geometric Essences: Some Reflections on Phenomenology and Modern Geometry.Richard Tieszen - 2005 - Philosophy and Phenomenological Research 70 (1):153–173.
    Edmund Husserl has argued that we can intuit essences and, moreover, that it is possible to formulate a method for intuiting essences. Husserl calls this method 'ideation'. In this paper I bring a fresh perspective to bear on these claims by illustrating them in connection with some examples from modern pure geometry. I follow Husserl in describing geometric essences as invariants through different types of free variations and I then link this to the mapping out of geometric invariants in modern (...)
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  7. Gödel's Path From the Incompleteness Theorems (1931) to Phenomenology (1961).Richard Tieszen - 1998 - Bulletin of Symbolic Logic 4 (2):181-203.
  8.  92
    Gödel and the Intuition of Concepts.Richard Tieszen - 2002 - Synthese 133 (3):363 - 391.
    Gödel has argued that we can cultivate the intuition or perception of abstractconcepts in mathematics and logic. Gödel's ideas about the intuition of conceptsare not incidental to his later philosophical thinking but are related to many otherthemes in his work, and especially to his reflections on the incompleteness theorems.I describe how some of Gödel's claims about the intuition of abstract concepts are related to other themes in his philosophy of mathematics. In most of this paper, however,I focus on a central (...)
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  9.  6
    Gödel And The Intuition Of Concepts.Richard Tieszen - 2002 - Synthese 133 (3):363-391.
    Gödel has argued that we can cultivate the intuition or 'perception' of abstract concepts in mathematics and logic. Gödel's ideas about the intuition of concepts are not incidental to his later philosophical thinking but are related to many other themes in his work, and especially to his reflections on the incompleteness theorems. I describe how some of Gödel's claims about the intuition of abstract concepts are related to other themes in his philosophy of mathematics. In most of this paper, however, (...)
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  10. Monads and Mathematics: Gödel and Husserl.Richard Tieszen - 2012 - Axiomathes 22 (1):31-52.
    In 1928 Edmund Husserl wrote that “The ideal of the future is essentially that of phenomenologically based (“philosophical”) sciences, in unitary relation to an absolute theory of monads” (“Phenomenology”, Encyclopedia Britannica draft) There are references to phenomenological monadology in various writings of Husserl. Kurt Gödel began to study Husserl’s work in 1959. On the basis of his later discussions with Gödel, Hao Wang tells us that “Gödel’s own main aim in philosophy was to develop metaphysics—specifically, something like the monadology of (...)
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  11.  69
    Kurt Godel and Phenomenology.Richard Tieszen - 1992 - Philosophy of Science 59 (2):176-194.
    Godel began to seriously study Husserl's phenomenology in 1959, and the Godel Nachlass is known to contain many notes on Husserl. In this paper I describe what is presently known about Godel's interest in phenomenology. Among other things, it appears that the 1963 supplement to "What is Cantor's Continuum Hypothesis?", which contains Godel's famous views on mathematical intuition, may have been influenced by Husserl. I then show how Godel's views on mathematical intuition and objectivity can be readily interpreted in a (...)
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  12. Consciousness of Abstract Objects.Richard Tieszen - 2005 - In David Woodruff Smith & Amie Lynn Thomasson (eds.), Phenomenology and Philosophy of Mind. Oxford: Clarendon Press.
  13.  89
    Edmund Husserl. Introduction to Logic and Theory of Knowledge: Lectures 1906\Textfractionsolidus{}07 Collected Works, Vol. 13. Translated by Claire Ortiz Hill: Critical Studies/Book Reviews. [REVIEW]Richard Tieszen - 2010 - Philosophia Mathematica 18 (2):247-252.
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  14.  67
    Critical Notice. Godel's Philosophical Remarks on Logic and Mathematics.R. Tieszen - 1998 - Mind 107 (425):219-232.
  15. Mathematical Intuition: Phenomenology and Mathematical Knowledge.Richard L. TIESZEN - 1993 - Studia Logica 52 (3):484-486.
    The thesis is a study of the notion of intuition in the foundations of mathematics which focuses on the case of natural numbers and hereditarily finite sets. Phenomenological considerations are brought to bear on some of the main objections that have been raised to this notion. ;Suppose that a person P knows that S only if S is true, P believes that S, and P's belief that S is produced by a process that gives evidence for it. On a phenomenological (...)
     
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  16.  6
    Brouwer and Weyl: The Phenomenology and Mathematics of the Intuitive Continuumt.Mark Atten, Dirk 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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  17.  48
    Arithmetic, Mathematical Intuition, and Evidence.Richard Tieszen - 2015 - Inquiry: An Interdisciplinary Journal of Philosophy 58 (1):28-56.
    This paper provides examples in arithmetic of the account of rational intuition and evidence developed in my book After Gödel: Platonism and Rationalism in Mathematics and Logic . The paper supplements the book but can be read independently of it. It starts with some simple examples of problem-solving in arithmetic practice and proceeds to general phenomenological conditions that make such problem-solving possible. In proceeding from elementary ‘authentic’ parts of arithmetic to axiomatic formal arithmetic, the paper exhibits some elements of the (...)
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  18.  62
    Between Logic and Intuition: Essays in Honor of Charles Parsons.Gila Sher & Richard Tieszen (eds.) - 2000 - Cambridge University Press.
    This collection of new essays offers a 'state-of-the-art' conspectus of major trends in the philosophy of logic and philosophy of mathematics. A distinguished group of philosophers addresses issues at the centre of contemporary debate: semantic and set-theoretic paradoxes, the set/class distinction, foundations of set theory, mathematical intuition and many others. The volume includes Hilary Putnam's 1995 Alfred Tarski lectures, published here for the first time.
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  19.  54
    Mathematical Problem-Solving and Ontology: An Exercise. [REVIEW]Richard Tieszen - 2010 - Axiomathes 20 (2-3):295-312.
    In this paper the reader is asked to engage in some simple problem-solving in classical pure number theory and to then describe, on the basis of a series of questions, what it is like to solve the problems. In the recent philosophy of mind this “what is it like” question is one way of signaling a turn to phenomenological description. The description of what it is like to solve the problems in this paper, it is argued, leads to several morals (...)
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  20.  38
    After Gödel: Mechanism, Reason, and Realism in the Philosophy of Mathematics.Richard Tieszen - 2006 - Philosophia Mathematica 14 (2):229-254.
    In his 1951 Gibbs Lecture Gödel formulates the central implication of the incompleteness theorems as a disjunction: either the human mind infinitely surpasses the powers of any finite machine or there exist absolutely unsolvable diophantine problems (of a certain type). In his later writings in particular Gödel favors the view that the human mind does infinitely surpass the powers of any finite machine and there are no absolutely unsolvable diophantine problems. I consider how one might defend such a view in (...)
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  21. Science Within Reason: Is There a Crisis of the Modern Sciences?R. Tieszen - forthcoming - Boston Studies in the Philosophy of Science.
  22.  87
    Mathematical Intuition and Husserl's Phenomenology.Richard Tieszen - 1984 - Noûs 18 (3):395-421.
  23.  78
    Mathematical Realism and Gödel's Incompleteness Theorems.Richard Tieszen - 1994 - Philosophia Mathematica 2 (3):177-201.
    In this paper I argue that it is more difficult to see how Godel's incompleteness theorems and related consistency proofs for formal systems are consistent with the views of formalists, mechanists and traditional intuitionists than it is to see how they are consistent with a particular form of mathematical realism. If the incompleteness theorems and consistency proofs are better explained by this form of realism then we can also see how there is room for skepticism about Church's Thesis and the (...)
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  24.  38
    Revisiting Husserl's Philosophy of Arithmetic †I Thank Mark van Atten for Comments on This Review.Richard Tieszen - 2006 - Philosophia Mathematica 14 (1):112-130.
  25.  5
    Free Variation and the Intuition of Geometric Essences: Some Reflections on Phenomenology and Modern Geometry.Richard Tieszen - 2005 - Philosophy and Phenomenological Research 70 (1):153-173.
    Edmund Husserl has argued that we can intuit essences and, moreover, that it is possible to formulate a method for intuiting essences. Husserl calls this method ‘ideation’. In this paper I bring a fresh perspective to bear on these claims by illustrating them in connection with some examples from modern pure geometry. I follow Husserl in describing geometric essences as in variants through different types of free variations and I then link this to the mapping out of geometric invariants in (...)
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  26.  50
    Teaching Formal Logic as Logic Programming in Philosophy Departments.Richard Tieszen - 1992 - Teaching Philosophy 15 (4):337-347.
  27. Mathematics.Richard Tieszen - 1995 - In Barry Smith & David Woodruff Smith (eds.), The Cambridge Companion to Husserl (Cambridge Companions to Philosophy). Cambridge University Press.
  28.  51
    Phenomenology and Mathematical Knowledge.Richard Tieszen - 1988 - Synthese 75 (3):373 - 403.
  29.  1
    Between Logic and Intuition: Essays in Honor of Charles Parsons.Gila Sher & Richard Tieszen - 2001 - Mind 110 (440):1119-1123.
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  30.  70
    Perspectives on Intuitionism.R. Tieszen - 1998 - Philosophia Mathematica 6 (2):129-130.
  31.  91
    Phenomenology and Mathematics: Dedicated to the Memory of Gian-Carlo Rota (1932 4 27-1999 4 19).Richard Tieszen - 2002 - Philosophia Mathematica 10 (2):97-101.
  32.  16
    Husserl's Logic.Richard Tieszen - 2004 - In Dov M. Gabbay, John Woods & Akihiro Kanamori (eds.), Handbook of the History of Logic. Elsevier. pp. 3--207.
  33.  10
    Edmund Husserl: Early Writings in the Philosophy of Logic and Mathematics, Edited and Translated by Dallas Willard.Richard Tieszen - 1996 - Journal of the British Society for Phenomenology 27 (3):328-330.
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  34.  47
    Analytic and Continental Philosophy, Science, and Global Philosophy.Richard Tieszen - 2011 - Comparative Philosophy 2 (2):4-22.
    Although there is no consensus on what distinguishes analytic from Continental philosophy, I focus in this paper on one source of disagreement that seems to run fairly deep in dividing these traditions in recent times, namely, disagreement about the relation of natural science to philosophy. I consider some of the exchanges about science that have taken place between analytic and Continental philosophers, especially in connection with the philosophy of mind. In discussing the relation of natural science to philosophy I employ (...)
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  35.  35
    Eidetic Results in Transcendental Phenomenology: Against Naturalization.Richard Tieszen - 2016 - Phenomenology and the Cognitive Sciences 15 (4):489-515.
    In this paper I contrast Husserlian transcendental eidetic phenomenology with some other views of what phenomenology is supposed to be and argue that, as eidetic, it does not admit of being ‘naturalized’ in accordance with standard accounts of naturalization. The paper indicates what some of the eidetic results in phenomenology are and it links these to the employment of reason in philosophical investigation, as distinct from introspection, emotion or empirical observation. Eidetic phenomenology, unlike cognitive science, should issue in a ‘logic’ (...)
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  36.  71
    Review of D. Van Dalen, Mystic, Geometer, and Intuitionist: The Life of L. E. J. Brouwer. Volume 1: The Dawning Revolution[REVIEW]Richard Tieszen - 2000 - Philosophia Mathematica 8 (2):217-220.
  37.  40
    Frege and Husserl on Number.Richard Tieszen - 1990 - Ratio 3 (2):150-164.
  38.  30
    Intuitionism, Meaning Theory and Cognition.Richard Tieszen - 2000 - History and Philosophy of Logic 21 (3):179-194.
    Michael Dummett has interpreted and expounded upon intuitionism under the influence of Wittgensteinian views on language, meaning and cognition. I argue against the application of some of these views to intuitionism and point to shortcomings in Dummett's approach. The alternative I propose makes use of recent, post-Wittgensteinian views in the philosophy of mind, meaning and language. These views are associated with the claim that human cognition exhibits intentionality and with related ideas in philosophical psychology. Intuitionism holds that mathematical constructions are (...)
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  39.  28
    Dirk Van Dalen. Mystic, Geometer, and Intuitionist: The Life of L. E. J. Brouwer. Volume 2: Hope and Disillusion. Oxford: Clarendon Press, 2005. Pp. X + 441–946. ISBN 0-19-851620-7 (Hardcover). [REVIEW]R. Tieszen - 2007 - Philosophia Mathematica 15 (1):111-116.
    Volume 1 of this biography of L. E. J. Brouwer was published in 1999.1 The volume under review here covers the period from the early nineteen twenties until Brouwer's death in 1966. It also includes a short epilogue that discusses the disposition of Brouwer's estate after his death, his influence on others, the paths of some of his students and colleagues, and other matters. Van Dalen notes in the Preface that in preparing this volume he consulted some historical studies that (...)
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  40.  21
    Husserl, by David Bell. [REVIEW]Richard Tieszen - 1992 - Philosophy and Phenomenological Research 52 (4):1010-1013.
  41. Elements of Gödel's Turn to Transcendental Phenomenology.Richard Tieszen - 2008 - Diálogos. Revista de Filosofía de la Universidad de Puerto Rico 43 (91):59-82.
  42.  23
    Book Reviews. [REVIEW]Richard Tieszen & Dorothy Leland - 1989 - Husserl Studies 6 (2):69-81.
  43.  21
    Book Reviews. [REVIEW]Richard Tieszen, Bernd Dörflinger & James Tuedio - 1990 - Husserl Studies 7 (3):69-81.
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  44.  19
    Review of J. O'Neill, Worlds Without Content: Against Formalism[REVIEW]Richard Tieszen - 1993 - Husserl Studies 10 (3).
  45.  13
    Review of P. Maddy, Realism in Mathematics[REVIEW]Richard Tieszen - 1994 - Philosophia Mathematica 2 (1).
  46.  11
    Review of R. Penrose, Shadows of the Mind: A Search for the Missing Science of Consciousness[REVIEW]Richard Tieszen - 1996 - Philosophia Mathematica 4 (3).
  47.  4
    Many of the Basic Problems in the Philosophy of Mathematics Center Around the Positions Just Mentioned. It Will Not Be Possible to Dis-Cuss These Problems in Any Detail Here, but at Least Some General Indications Can Be Given. A Major Difficulty for Platonism has Been to Explain How It Is. [REVIEW]Richard Tieszen - 1995 - In Barry Smith & David Woodruff Smith (eds.), The Cambridge Companion to Husserl. Cambridge University Press. pp. 438.
  48.  1
    Phenomenology and the Formal Sciences. T. Seebohm, D. Føllesdal and J.N. Mohanty.Richard Tieszen - 1993 - Journal of the British Society for Phenomenology 24 (3):289-290.
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  49.  2
    Edmund Husserl's Origin of Geometry: An IntroductionJacques Derrida John P. Leavey, Jr.Richard Tieszen - 1992 - Isis 83 (3):531-532.
  50.  3
    Introduction to Special Issue: Kurt Gödel (1906–1978) on Mathematics and Logic.R. Tieszen - 2006 - Philosophia Mathematica 14 (2):133-133.
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