52 found
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  1. Danielle Macbeth (2005). Index. In Frege's Logic. Harvard University Press 199-206.
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  2.  23
    Danielle Macbeth (2005). Frege's Logic. Harvard University Press.
    The most enlightening examination to date of the developments of Frege's thinking about his logic, this book introduces a new kind of logical language, one that ...
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  3. Danielle Macbeth (2010). Diagrammatic Reasoning in Euclid's Elements. In Bart van Kerkhove, Jean Paul van Bendegem & Jonas de Vuyst (eds.), Philosophical Perspectives on Mathematical Practice 12. College Publications 235-267.
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  4.  40
    D. Macbeth (2011). Seeing How It Goes: Paper-and-Pencil Reasoning in Mathematical Practice. Philosophia Mathematica 20 (1):58-85.
    Throughout its long history, mathematics has involved the use ofsystems of written signs, most notably, diagrams in Euclidean geometry and formulae in the symbolic language of arithmetic and algebra in the mathematics of Descartes, Euler, and others. Such systems of signs, I argue, enable one to embody chains of mathematical reasoning. I then show that, properly understood, Frege’s Begriffsschrift or concept-script similarly enables one to write mathematical reasoning. Much as a demonstration in Euclid or in early modern algebra does, a (...)
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  5.  15
    Danielle Macbeth (2004). Viète, Descartes, and the Emergence of Modern Mathematics. Graduate Faculty Philosophy Journal 25 (2):87-117.
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  6.  55
    Danielle Macbeth (2012). Diagrammatic Reasoning in Frege's Begriffsschrift. Synthese 186 (1):289-314.
    In Part III of his 1879 logic Frege proves a theorem in the theory of sequences on the basis of four definitions. He claims in Grundlagen that this proof, despite being strictly deductive, constitutes a real extension of our knowledge, that it is ampliative rather than merely explicative. Frege furthermore connects this idea of ampliative deductive proof to what he thinks of as a fruitful definition, one that draws new lines. My aim is to show that we can make good (...)
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  7.  55
    Danielle Macbeth (1995). Names, Natural Kind Terms, and Rigid Designation. Philosophical Studies 79 (3):259 - 281.
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  8.  47
    Danielle Macbeth (2004). Overcoming Kant: McDowell, and Sellars, on Judgment. Theoria 70 (2-3):216-242.
  9.  23
    Douglas Macbeth (2000). On an Actual Apparatus for Conceptual Change. Science Education 84 (2):228-264.
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  10.  38
    Danielle Macbeth (2007). Striving for Truth in the Practice of Mathematics: Kant and Frege. Grazer Philosophische Studien 75 (1):65-92.
    My aim is to understand the practice of mathematics in a way that sheds light on the fact that it is at once a priori and capable of extending our knowledge. The account that is sketched draws first on the idea, derived from Kant, that a calculation or demonstration can yield new knowledge in virtue of the fact that the system of signs it employs involves primitive parts that combine into wholes that are themselves parts of larger wholes. Because wholes (...)
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  11.  89
    Danielle Macbeth (2012). Varieties of Analytic Pragmatism. Philosophia 40 (1):27-39.
    In his Locke Lectures Brandom proposes to extend what he calls the project of analysis to encompass various relationships between meaning and use. As the traditional project of analysis sought to clarify various logical relations between vocabularies so Brandom’s extended project seeks to clarify various pragmatically mediated semantic relations between vocabularies. The point of the exercise in both cases is to achieve what Brandom thinks of as algebraic understanding. Because the pragmatist critique of the traditional project of analysis was precisely (...)
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  12. Danielle Macbeth (2007). Pragmatism and Objective Truth. In C. J. Misak (ed.), New Pragmatists. Oxford University Press 169.
     
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  13.  20
    Danielle Macbeth (2005). Inferentialism and Holistic Role Abstraction in the Telling of Tales. European Journal of Philosophy 13 (3):409–420.
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  14.  42
    Danielle Macbeth (2005). Reading Begriffsschrift. The Harvard Review of Philosophy 13 (1):4-24.
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  15.  63
    Danielle MacBeth (1995). Pragmatism and the Philosophy of Language. Philosophy and Phenomenological Research 55 (3):501-523.
    After sketching familiar pragmatist arguments that seem to show that relations of reference and meaning shed no light on the role of language in our claims to knowledge, an alternative conception (inspired by Kripke's work on proper names and Sellars' conception of concepts and causal laws) is outlined. Neither relations of reference nor meanings are given; instead both essentially involve commitments that are different in kind from the sorts of propositional commitments made in judgment. If so, the pragmatist is mistaken (...)
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  16.  10
    Douglas Macbeth (1996). The Discovery of Situated Worlds: Analytic Commitments, or Moral Orders? Human Studies 19 (3):267 - 287.
    The discovery of social phenomena by a discipline whose roots are abidingly psychological has been a singular development in American educational research. Formulations of situatedness are emblematic of this rethinking, and depending on our understanding of it, we have in situatedness the possibility of a distinctive set of analytic commitments. This paper discusses these possibilities and their development in the educational research literature, in the particulars of the Brown, Collins and Duguid (1989) publication Situated Cognition. In the end, situatedness is (...)
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  17.  43
    Danielle Macbeth (2000). Empirical Knowledge: Kantian Themes and Sellarsian Variations. Philosophical Studies 101 (2-3):113-142.
    Empirical knowledge is at once an exercise of freedom and rationally constrained by how things are. But if the reality on which empirical thought aims to bear is outside the sphere of the conceptual then, while it can exert a causal constraint on knowing, it cannot exert a rational constraint. Empirical reality both must and, so it seems, cannot have rational bearing on empirical thought. I consider the related ways Kant and Sellars try to avoid this antinomy, arguing that understanding (...)
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  18.  31
    D. Macbeth (2002). Knowledge, Mind, and the Given: Reading Wilfrid Sellars's "Empiricism and the Philosophy of Mind". Philosophical Review 111 (2):281-284.
  19.  12
    Danielle Macbeth (1994). The Coin of the Intentional Realm. Journal for the Theory of Social Behaviour 24 (2):143–166.
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  20. Danielle Macbeth (2007). Understanding the Goodness of Inference: Modality and Relevance in Fregeķs System of Logic. Soochow Journal of Philosophical Studies 16:133 - 151.
     
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  21.  22
    Danielle MacBeth (1995). The Logic of Relations and the Ideality of Space. Journal of Philosophical Research 20:367-379.
    As Friedman has argued, Kant's argument for the ideality of space turns on the nondeductive character of geometrical reasoning in Euclid's system. Since geometry can be axiomatized, this argument fails. But ("pace" Russell) Leibniz's argument based on the unreality of constitutive relations is not thereby answered as well. I argue that what is needed in response to Leibniz is a properly post-Kantian conception of concepts as inferentially articulated. This conception, I suggest, is based on the same fundamental insight that underlies (...)
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  22.  7
    Danielle Macbeth (2000). Special Issue: The Philosophy of Wilfrid Sellars Guest Editor: Mark Lance. Philosophical Studies 101:325-326.
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  23.  1
    Danielle Macbeth, Wilfrid Sellars, Willem A. deVries & Timm Triplett (2002). Knowledge, Mind, and the Given: Reading Wilfrid Sellars's "Empiricism and the Philosophy of Mind," Including the Complete Text of Sellars's Essay. Philosophical Review 111 (2):281.
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  24.  31
    Danielle MacBeth (1997). Brandom on Inference and the Expressive Role of Logic. Philosophical Issues 8:169-179.
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  25. Danielle Macbeth (2006). Tyler Burge, Truth, Thought, Reason: Essays on Frege Reviewed By. Philosophy in Review 26 (2):79-82.
     
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  26.  3
    Danielle Macbeth (2014). Frege’s Conception of Logic by Patricia A. Blanchette. Journal of the History of Philosophy 52 (1):176-177.
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  27.  14
    Danielle Macbeth (2007). Logical Analysis, Reduction, and Philosophical Understanding. Croatian Journal of Philosophy 7 (3):475-485.
    Russell’s theory of descriptions in “On Denoting” has long been hailed as a paradigm of the sort of analysis that is constitutiue of philosophical understanding. It is not the only model of logical analysis available to us, however. On Frege’s quite different view, analysis provides not a reduction of some problematic notion to other, unproblematic ones -- as Russell’s analysis does -- but instead a deeper, clearer articulation of the very notion with which we began. This difference, I suggest, is (...)
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  28.  7
    Danielle Macbeth (2012). Proof and Understanding in Mathematical Practice. Philosophia Scientiae 16 (1):29-54.
    Prouver des théorèmes est une pratique mathématique qui semble clairement améliorer notre compréhension mathématique. Ainsi, prouver et reprouver des théorèmes en mathématiques, vise à apporter une meilleure compréhension. Cependant, comme il est bien connu, les preuves mathématiques totalement formalisées sont habituellement inintelligibles et, à ce titre, ne contribuent pas à notre compréhension mathématique. Comment, alors, comprendre la relation entre prouver des théorèmes et améliorer notre compréhension mathématique. J'avance ici que nous avons d'abord besoin d'une notion différente de preuve , qui (...)
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  29.  6
    Danielle Macbeth, Alfredo Paternoster & Paolo Valore (2004). Discussione su "Mente, corpo, mondo" di Hilary Putnam. Iride: Filosofia e Discussione Pubblica 17 (1):211-228.
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  30.  4
    Douglas Macbeth (2000). The Spectacle of History: Speech, Text and Memory at the Iran-Contra Hearings. Human Studies 23 (4):423-438.
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  31.  5
    Danielle Macbeth (2008). The Truths of Logic and Logical Truth. Manuscrito 31 (1):51-67.
    A principal aim of Chateaubriand’s Logical Forms II: Logic, Language, and Knowledge is to clarify and defend what Chateaubriand describes as the ontological conception of logic against the standard model-theoretic or “linguistic” view. Both sides to the debate accept that if logic is a science then there must be logically necessary facts that this science discovers, Chateaubriand arguing that because logic is a science, there must be logically necessary facts, and his opponent that because there are no logically necessary facts, (...)
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  32.  7
    Douglas Macbeth (2000). Ordinary Spectacles. [REVIEW] Human Studies 23 (4):423-438.
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  33.  1
    Danielle Macbeth (2012). Proof and Understanding in Mathematical Practice. Philosophia Scientae 16:29-54.
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  34.  2
    Jonathan M. Wender, Carlos Belvedere & Douglas Macbeth (2013). Book Discussion: Hisashi Nasu and Frances Chaput Waksler , Interaction and Everyday Life: Phenomenological and Ethnomethodological. Essays in Honor of George Psathas . Jonathan Wender: Phenomenological Sociology as an Intellectual Movement; Carlos Belevedere: “On George Psathas and Phenomenological Sociology”; Douglas Macbeth: “Ethnomethodological Explorations”. [REVIEW] Schutzian Research. A Yearbook of Worldly Phenomenology and Qualitative Social Science 5 (2013):121-149.
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  35.  1
    Danielle Macbeth (2007). Naturalism in the Philosophy of Mathematics. In Chienkuo Mi Ruey-lin Chen (ed.), Naturalized Epistemology and Philosophy of Science. 7--87.
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  36.  3
    Douglas Macbeth (2012). Some Notes on the Play of Basketball in its Circumstantial Detail, and an Introduction to Their Occasion. Human Studies 35 (2):193-208.
    In the late 1980s, I wrote up some notes on the play of pick-up basketball and sent them to Harold Garfinkel, who incorporated them into an un-published monograph in 1988. They were motivated by an interest in exhibiting the sense of "detail" for ethnomethodological studies. An edited version is presented below. They follow a front piece of recollection and discussion about Garfinkel's distinctive interests in matters of "detail," their tie to structure and structure's circumstantiality, and their place in EM studies.
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  37. Danielle Macbeth (2005). 3. A More Sophisticated Instrument. In Frege's Logic. Harvard University Press 74-109.
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  38. Danielle Macbeth (2005). 5. Courses of Values and Basic Law V. In Frege's Logic. Harvard University Press 156-177.
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  39. Danielle Macbeth (2005). Epilogue. In Frege's Logic. Harvard University Press 178-182.
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  40. Danielle Macbeth (2005). Introduction. In Frege's Logic. Harvard University Press 1-7.
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  41. Danielle Macbeth (2008). Logic and the Foundations of Mathematics. In C. J. Misak (ed.), The Oxford Handbook of American Philosophy. Oxford University Press
  42. Danielle Macbeth (2005). 2. Logical Generality. In Frege's Logic. Harvard University Press 37-73.
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  43. Danielle Macbeth (2009). Meaning, Use and Diagrams. Etica E Politica 11 (1):369-384.
    My starting point is two themes from Peirce: his familiar pragmatist conception of meaning focused on what follows from an application of a term rather than on what is the case if it is correctly applied, and his less familiar and rather startling claim that even purely deductive, logical reasoning is not merely formal but instead constructive or diagrammatic — and hence experimental, and fallible. My aim is to show, using Frege’s two-dimensional logical language as a paradigm of a “constructive” (...)
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  44. Danielle Macbeth (2005). Notes. In Frege's Logic. Harvard University Press 183-196.
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  45. Danielle Macbeth (2005). Preface. In Frege's Logic. Harvard University Press
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  46. D. Macbeth & Norma B. Goethe (2006). REVIEWS-Frege's Logic. Bulletin of Symbolic Logic 12 (3):496-497.
     
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  47.  9
    Danielle Macbeth (2014). Realizing Reason: A Narrative of Truth and Knowing. OUP Oxford.
    Danielle Macbeth offers a new account of mathematical practice as a mode of inquiry into objective truth, and argues that understanding the nature of mathematical practice provides us with the resources to develop a radically new conception of ourselves and our capacity for knowledge of objective truth.
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  48. Danielle Macbeth (2011). Reading Rorty:: A SKETCH OF A PLAN. Annales Philosophici 2:66-73.
    The following pages are focused on a better understanding of Richard Rorty‟s reflections on the problem of truth, emphasizing the idea that one of the keys to a better understanding of Rorty is to consider the fact that there are three very different kinds of discourse present in his philosophical endeavors. In order to support this unprecedented claim I bring forward the case of one of Plato‟s dialogues concerned with the definition of knowledge, Theaetetus. The similarities between Plato‟s dialogue and (...)
     
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  49. Danielle Macbeth (2006). Tyler Burge, Truth, Thought, Reason: Essays on Frege. [REVIEW] Philosophy in Review 26:79-82.
     
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  50. Danielle Macbeth (2005). 1. The Starting Point. In Frege's Logic. Harvard University Press 8-36.
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