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Richard Tieszen [34]Richard L. Tieszen [3]
  1. Richard Tieszen (2012). Monads and Mathematics: Gödel and Husserl. [REVIEW] 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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  2. Richard Tieszen (2011). Analytic and Continental Philosophy, Science, and Global Philosophy. Comparative Philosophy 2 (2).
    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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  3. Richard L. Tieszen (2011). After Gödel: Platonism and Rationalism in Mathematics and Logic. 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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  4. Richard Tieszen (2010). Review of E. Husserl, Introduction to Logic and Theory of Knowledge: Lectures 1906/07 Collected Works, Vol. 13. Translated by Claire Ortiz Hill. [REVIEW] Philosophia Mathematica 18 (2):247-252.
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  5. Richard Tieszen (2010). Mathematical Problem-Solving and Ontology: An Exercise. [REVIEW] 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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  6. Richard Tieszen (2010). Mathematical Realism and Transcendental Phenomenological Realism. In Mirja Hartimo (ed.), Phenomenology and Mathematics. Springer. 1--22.
  7. Richard Tieszen (2008). Elements of Gödel's Turn to Transcendental Phenomenology. Dialogos 43 (91):59-82.
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  8. Richard Tieszen (2008). Husserl's Concept of Pure Logic (Prolegomena, §§ 1-16, 62-72). In Verena Mayer (ed.), Edmund Husserl: Logische Untersuchungen.
     
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  9. Richard Tieszen (2006). After Gödel: Mechanism, Reason, and Realism in the Philosophy of Mathematics. 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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  10. Richard Tieszen (2006). Introduction. Philosophia Mathematica 14 (2):133-133.
  11. Richard Tieszen (2005). Consciousness of Abstract Objects. In David Woodruff Smith & Amie Lynn Thomasson (eds.), Phenomenology and Philosophy of Mind. Oxford: Clarendon Press.
     
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  12. Richard Tieszen (2005). Free Variation and the Intuition of Geometric Essences: Some Reflections on Phenomenology and Modern Geometry. 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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  13. Richard L. Tieszen (2005). Phenomenology, Logic, and the Philosophy of Mathematics. 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 book is divided into three parts. Part I, Reason, Science, and Mathematics 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, (...)
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  14. Richard Tieszen (2004). Husserl's Logic. In Dov M. Gabbay, John Woods & Akihiro Kanamori (eds.), Handbook of the History of Logic. Elsevier. 3--207.
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  15. Richard Tieszen (2002). Gödel and the Intuition of Concepts. 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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  16. Richard Tieszen (2002). Phenomenology and Mathematics: Dedicated to the Memory of Gian-Carlo Rota (1932 4 27-1999 4 19). Philosophia Mathematica 10 (2):97-101.
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  17. Mark Van Atten, Dirk van Dalen & Richard Tieszen (2002). Brouwer and Weyl: The Phenomenology and Mathematics of the Intuitive Continuumt. Philosophia Mathematica 10 (2):203-226.
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  18. Gila Sher & Richard L. Tieszen (eds.) (2000). Between Logic and Intuition: Essays in Honor of Charles Parsons. 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. Richard Tieszen (2000). Intuitionism, Meaning Theory and Cognition. 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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  20. Richard Tieszen (2000). Review of D. Van Dalen, Mystic, Geometer, and Intuitionist: The Life of L. E. J. Brouwer. Volume 1: The Dawning Revolution. [REVIEW] Philosophia Mathematica 8 (2):217-220.
  21. Richard Tieszen (2000). The Philosophical Background of Weyl's Mathematical Constructivism. 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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  22. Richard Tieszen (1998). Gödel's Path From the Incompleteness Theorems (1931) to Phenomenology (1961). Bulletin of Symbolic Logic 4 (2):181-203.
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  23. Richard Tieszen (1996). Review of R. Penrose, Shadows of the Mind: A Search for the Missing Science of Consciousness. [REVIEW] Philosophia Mathematica 4 (3).
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  24. Richard Tieszen (1995). Mathematics. In Barry Smith & David Woodruff Smith (eds.), The Cambridge Companion to Husserl (Cambridge Companions to Philosophy). Cambridge University Press.
     
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  25. Richard Tieszen (1995). 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] In Barry Smith & David Woodruff Smith (eds.), The Cambridge Companion to Husserl. Cambridge University Press. 438.
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  26. Richard Tieszen (1994). Review of P. Maddy, Realism in Mathematics. [REVIEW] Philosophia Mathematica 2 (1).
  27. Richard Tieszen (1994). Mathematical Realism and Gödel's Incompleteness Theorems. 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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  28. Richard Tieszen (1993). Review of J. O'Neill, Worlds Without Content: Against Formalism. [REVIEW] Husserl Studies 10 (3).
  29. Richard Tieszen (1992). Husserl, by David Bell. Philosophy and Phenomenological Research 52 (4):1010-1013.
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  30. Richard Tieszen (1992). Kurt Godel and Phenomenology. 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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  31. Richard Tieszen (1992). Teaching Formal Logic as Logic Programming in Philosophy Departments. Teaching Philosophy 15 (4):337-347.
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  32. Richard Tieszen (1990). Frege and Husserl on Number. Ratio 3 (2):150-164.
  33. Richard Tieszen, Bernd Dörflinger & James Tuedio (1990). Book Reviews. [REVIEW] Husserl Studies 7 (3):69-81.
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  34. Richard Tieszen & Dorothy Leland (1989). Book Reviews. [REVIEW] Husserl Studies 6 (2):69-81.
  35. Richard Tieszen (1988). Phenomenology and Mathematical Knowledge. Synthese 75 (3):373 - 403.
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  36. Richard Tieszen (1984). Mathematical Intuition and Husserl's Phenomenology. Noûs 18 (3):395-421.