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  1. Dirk Schlimm, Axiomatics and Progress in the Light of 20th Century Philosophy of Science and Mathematics.
    This paper is a contribution to the question of how aspects of science have been perceived through history. In particular, I will discuss how the contribution of axiomatics to the development of science and mathematics was viewed in 20th century philosophy of science and philosophy of mathematics. It will turn out that in connection with scientific methodology, in particular regarding its use in the context of discovery, axiomatics has received only very little attention. This is a rather surprising result, since (...)
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  2. Dirk Schlimm (forthcoming). On the Creative Role of Axiomatics. Synthese.
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  3. Dirk Schlimm (2013). Conceptual Metaphors and Mathematical Practice: On Cognitive Studies of Historical Developments in Mathematics. Topics in Cognitive Science 5 (2):283-298.
  4. Dirk Schlimm (2013). Formal Languages in Logic. A Philosophical and Cognitive Analysis. History and Philosophy of Logic 35 (1):1-3.
    History and Philosophy of Logic, Volume 35, Issue 1, Page 108-110, February 2014.
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  5. Dirk Schlimm (2012). A New Look at Analogical Reasoning. Metascience 21 (1):197-201.
    A new look at analogical reasoning Content Type Journal Article Pages 1-5 DOI 10.1007/s11016-011-9563-z Authors Dirk Schlimm, Department of Philosophy, McGill University, Montreal, QC H3A 2T7, Canada Journal Metascience Online ISSN 1467-9981 Print ISSN 0815-0796.
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  6. Dirk Schlimm (2012). Mathematical Concepts and Investigative Practice. In Uljana Feest & Friedrich Steinle (eds.), Scientific Concepts and Investigative Practice. De Gruyter. 3--127.
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  7. Theodore Reed Widom & Dirk Schlimm (2012). Methodological Reflections on Typologies for Numerical Notations. Science in Context 25 (2):155-195.
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  8. Dirk Schlimm (2011). On the Creative Role of Axiomatics. The Discovery of Lattices by Schröder, Dedekind, Birkhoff, and Others. Synthese 183 (1):47-68.
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  9. Dirk Schlimm (2010). Pasch's Philosophy of Mathematics. Review of Symbolic Logic 3 (1):93-118.
    Moritz Pasch (1843ber neuere Geometrie (1882), in which he also clearly formulated the view that deductions must be independent from the meanings of the nonlogical terms involved. Pasch also presented in these lectures the main tenets of his philosophy of mathematics, which he continued to elaborate on throughout the rest of his life. This philosophy is quite unique in combining a deductivist methodology with a radically empiricist epistemology for mathematics. By taking into consideration publications from the entire span of Paschs (...)
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  10. Janet Folina, Douglas Jesseph, Dirk Schlimm, Emily Grosholz, Kenneth Manders, Sun-Joo Shin, Saul Kripke & William Ewald (2009). Of the Association for Symbolic Logic. Bulletin of Symbolic Logic 15 (2):229.
     
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  11. Janet Folina, Douglas Jesseph, Dirk Schlimm, Emily Grosholz, Kenneth Manders, Sun-Joo Shin, Saul Kripke & William Ewald (2009). The Marriott Hotel Philadelphia, Pennsylvania December 27–30, 2008. Bulletin of Symbolic Logic 15 (2).
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  12. Dirk Schlimm (2009). Learning From the Existence of Models: On Psychic Machines, Tortoises, and Computer Simulations. Synthese 169 (3):521 - 538.
    Using four examples of models and computer simulations from the history of psychology, I discuss some of the methodological aspects involved in their construction and use, and I illustrate how the existence of a model can demonstrate the viability of a hypothesis that had previously been deemed impossible on a priori grounds. This shows a new way in which scientists can learn from models that extends the analysis of Morgan (1999), who has identified the construction and manipulation of models as (...)
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  13. Dirk Schlimm & Thomas R. Shultz (2009). Learning the Structure of Abstract Groups. In. In N. A. Taatgen & H. van Rijn (eds.), Proceedings of the 31st Annual Conference of the Cognitive Science Society. 2100--5.
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  14. Dirk Schlimm (2008). On Abstraction and the Importance of Asking the Right Research Questions: Could Jordan Have Proved the Jordan-Hölder Theorem? [REVIEW] Erkenntnis 68 (3):409 - 420.
    In 1870 Jordan proved that the composition factors of two composition series of a group are the same. Almost 20 years later Hölder (1889) was able to extend this result by showing that the factor groups, which are quotient groups corresponding to the composition factors, are isomorphic. This result, nowadays called the Jordan-Hölder Theorem, is one of the fundamental theorems in the theory of groups. The fact that Jordan, who was working in the framework of substitution groups, was able to (...)
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  15. Dirk Schlimm (2008). Two Ways of Analogy: Extending the Study of Analogies to Mathematical Domains. Philosophy of Science 75 (2):178-200.
    The structure-mapping theory has become the de-facto standard account of analogies in cognitive science and philosophy of science. In this paper I propose a distinction between two kinds of domains and I show how the account of analogies based on structure-preserving mappings fails in certain (object-rich) domains, which are very common in mathematics, and how the axiomatic approach to analogies, which is based on a common linguistic description of the analogs in terms of laws or axioms, can be used successfully (...)
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  16. Dirk Schlimm & Hansjörg Neth (2008). Modeling Ancient and Modern Arithmetic Practices: Addition and Multiplication with Arabic and Roman Numerals. In. In B. C. Love, K. McRae & V. M. Sloutsky (eds.), Proceedings of the 30th Annual Conference of the Cognitive Science Society. Cognitive Science Society. 2097--2102.
  17. Dirk Schlimm (2005). Against Against Intuitionism. Synthese 147 (1):171 - 188.
    The main ideas behind Brouwer’s philosophy of Intuitionism are presented. Then some critical remarks against Intuitionism made by William Tait in “Against Intuitionism” [Journal of Philosophical Logic, 12, 173–195] are answered.
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  18. Dirk Schlimm (2005). Zach Richard. Hilbert's 'Verunglückter Beweis', the First Epsilon Theorem, and Consistency Proofs. History and Philosophy of Logic, Vol. 25 (2004), Pp. 79–94. [REVIEW] Bulletin of Symbolic Logic 11 (2):247-248.
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  19. Wilfried Sieg & Dirk Schlimm (2005). Dedekind's Analysis of Number: Systems and Axioms. Synthese 147 (1):121 - 170.
    Wilfred Sieg and Dirk Schlimm. Dedekind's Analysis of Number: Systems and Axioms.
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  20. R. Zach & Dirk Schlimm (2005). REVIEWS-Hilbert's' Verungluckter Beweis'. The First Epsilon Theorem, and Consistency Proofs. Bulletin of Symbolic Logic 11 (2):247-248.
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  21. Dirk Schlimm (2003). Critical Thinking. Teaching Philosophy 26 (3):305-307.
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