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Danielle Macbeth [55]Danielle Monique Macbeth [1]
  1.  44
    Frege’s Logic.Danielle Macbeth - 2005 - 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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  2.  24
    Realizing Reason: A Narrative of Truth and Knowing.Danielle Macbeth - 2014 - Oxford University Press.
    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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  3.  56
    Seeing How It Goes: Paper-and-Pencil Reasoning in Mathematical Practice.Danielle Macbeth - 2012 - 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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  4.  6
    Index.Danielle Macbeth - 2005 - In Frege's Logic. Harvard University Press. pp. 199-206.
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  5.  73
    Names, Natural Kind Terms, and Rigid Designation.Danielle Macbeth - 1995 - Philosophical Studies 79 (3):259 - 281.
  6.  17
    Diagrammatic Reasoning in Euclid’s Elements.Danielle Macbeth - 2010 - In Bart van Kerkhove, Jean Paul van Bendegem & Jonas de Vuyst (eds.), Philosophical Perspectives on Mathematical Practice 12. College Publications. pp. 235-267.
  7. Diagrammatic Reasoning in Frege’s Begriffsschrift.Danielle Macbeth - 2012 - 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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  8.  18
    Viète, Descartes, and the Emergence of Modern Mathematics.Danielle Macbeth - 2004 - Graduate Faculty Philosophy Journal 25 (2):87-117.
    François Viète is often regarded as the first modern mathematician on the grounds that he was the first to develop the literal notation, that is, the use of two sorts of letters, one for the unknown and the other for the known parameters of a problem. The fact that he achieved neither a modern conception of quantity nor a modern understanding of curves, both of which are explicit in Descartes’ Geometry, is to be explained on this view “by an incomplete (...)
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  9.  29
    Descartes on the Creation of the Eternal Truths.Danielle Macbeth - 2017 - Acta Baltica Historiae Et Philosophiae Scientiarum 5 (1):5-27.
    On 15 April 1630, in a letter to Mersenne, Descartes announced that on his view God creates the truths of mathematics. Descartes returned to the theme in subsequent letters and some of his Replies but nowhere is the view systematically developed and defended. It is not clear why Descartes came to espouse the creation doctrine, nor even what exactly it is. Some have argued that his motivation was theological, that God creates the eternal truths, including the truths of logic, because (...)
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  10.  28
    Proof and Understanding in Mathematical Practice.Danielle Macbeth - 2012 - 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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  11.  10
    Précis of Realizing Reason: A Narrative of Truth and Knowing.Danielle Macbeth - 2017 - International Journal of Philosophical Studies 25 (1):119-121.
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  12.  63
    Empirical Knowledge: Kantian Themes and Sellarsian Variations.Danielle Macbeth - 2000 - 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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  13.  14
    Proof and Understanding in Mathematical Practice.Danielle Macbeth - 2012 - Philosophia Scientae 16:29-54.
  14. Writing Reason.Danielle Macbeth - 2013 - Logique Et Analyse 56 (221):25-44.
     
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  15. Varieties of Analytic Pragmatism.Danielle Macbeth - 2012 - 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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  16. Pragmatism and Objective Truth.Danielle Macbeth - 2007 - In Cheryl Misak (ed.), New Pragmatists. Oxford University Press. pp. 169.
     
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  17.  29
    The Coin of the Intentional Realm.Danielle Macbeth - 1994 - Journal for the Theory of Social Behaviour 24 (2):143–166.
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  18.  52
    Striving for Truth in the Practice of Mathematics: Kant and Frege.Danielle Macbeth - 2007 - 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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  19.  60
    Overcoming Kant: McDowell, and Sellars, on Judgment.Danielle Macbeth - 2004 - Theoria 70 (2-3):216-242.
  20.  30
    Inferentialism and Holistic Role Abstraction in the Telling of Tales.Danielle Macbeth - 2005 - European Journal of Philosophy 13 (3):409–420.
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  21.  3
    3. A More Sophisticated Instrument.Danielle Macbeth - 2005 - In Frege's Logic. Harvard University Press. pp. 74-109.
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  22.  49
    Brandom on Inference and the Expressive Role of Logic.Danielle MacBeth - 1997 - Philosophical Issues 8:169-179.
  23.  11
    5. Courses of Values and Basic Law V.Danielle Macbeth - 2005 - In Frege's Logic. Harvard University Press. pp. 156-177.
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  24.  15
    Discussione su "Mente, corpo, mondo" di Hilary Putnam.Danielle Macbeth, Alfredo Paternoster & Paolo Valore - 2004 - Iride: Filosofia e Discussione Pubblica 17 (1):211-228.
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  25.  1
    Epilogue.Danielle Macbeth - 2005 - In Frege's Logic. Harvard University Press. pp. 178-182.
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  26.  1
    Frege and the Aristotelian Model of Science.Danielle Macbeth - 2016 - In Sorin Costreie (ed.), Early Analytic Philosophy – New Perspectives on the Tradition. Springer Verlag.
    Although profoundly influential for essentially the whole of philosophy’s twenty-five hundred year history, the model of a science that is outlined in Aristotle’s Posterior Analytics has recently been abandoned on grounds that developments in mathematics and logic over the last century or so have rendered it obsolete. Nor has anything emerged to take its place. As things stand we have not even the outlines of an adequate understanding of the rationality of mathematics as a scientific practice. It seems reasonable, in (...)
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  27.  14
    Frege’s Conception of Logic by Patricia A. Blanchette. [REVIEW]Danielle Macbeth - 2014 - Journal of the History of Philosophy 52 (1):176-177.
  28. Frege's Logic.Danielle Macbeth - 2006 - Bulletin of Symbolic Logic 12 (3):496-498.
     
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  29.  2
    Introduction.Danielle Macbeth - 2005 - In Frege's Logic. Harvard University Press. pp. 1-7.
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  30.  6
    Inferentialism and Holistic Role Abstraction in the Telling of Tales.Danielle Macbeth - 2005 - European Journal of Philosophy 13 (3):409-420.
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  31.  88
    Knowledge, Mind, and the Given: Reading Wilfrid Sellars’s “Empiricism and the Philosophy of Mind.”. [REVIEW]Danielle Macbeth - 2002 - Philosophical Review 111 (2):281-284.
    An empirical science must be at once grounded in sensory evidence and rationally justified by that evidence. But, as Hume famously argued, the fruits of empirical science would seem to be generalizations that cannot be rationally grounded in sensory experience. For, as Quine puts the point, “the most modest of generalizations about observable traits will cover more cases than its utterer can have had occasion actually to observe”. Quine’s response to the difficulty is essentially Hume’s: give up the project of (...)
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  32.  33
    Logical Analysis, Reduction, and Philosophical Understanding.Danielle Macbeth - 2007 - 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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  33. Logic and the Foundations of Mathematics.Danielle Macbeth - 2008 - In Cheryl Misak (ed.), The Oxford Handbook of American Philosophy. Oxford University Press.
  34.  20
    Logical Form, Mathematical Practice, and Frege's Begriffsschrift.Danielle Macbeth - 2018 - Annals of Pure and Applied Logic 169 (12):1419-1436.
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  35.  6
    2. Logical Generality.Danielle Macbeth - 2005 - In Frege's Logic. Harvard University Press. pp. 37-73.
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  36. Meaning, Use and Diagrams.Danielle Macbeth - 2009 - 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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  37.  2
    Notes.Danielle Macbeth - 2005 - In Frege's Logic. Harvard University Press. pp. 183-196.
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  38.  6
    Naturalism in the Philosophy of Mathematics.Danielle Macbeth - 2007 - In Chienkuo Mi Ruey-lin Chen (ed.), Naturalized Epistemology and Philosophy of Science. pp. 7--87.
  39.  5
    Preface.Danielle Macbeth - 2005 - In Frege's Logic. Harvard University Press.
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  40.  9
    Pragmatism and the Philosophy of Language.Danielle Macbeth - 1995 - Philosophy and Phenomenological Research 55 (3):501-523.
    1. In “Empiricism and the Philosophy of Mind,” Sellars argues that the notion of “self-authenticating nonverbal episodes” that would provide a foundation for empirical knowledge is a myth; nothing merely causal, not already in conceptual shape, could possibly play the justificatory role required of such a foundation. Rorty takes Quine, in “Two Dogmas,” to make the complementary point that the notion of analytic claims true by virtue of meaning, of self-authenticating verbal episodes that might provide a foundation for another sort (...)
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  41.  74
    Pragmatism and the Philosophy of Language.Danielle Macbeth - 1995 - 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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  42.  73
    Reading Begriffsschrift.Danielle Macbeth - 2005 - The Harvard Review of Philosophy 13 (1):4-24.
    It is a familiar fact that different systems of notation can function in radically different ways. Consider, to take a very simple example, the difference between the sign-designs ‘twenty-three’, ‘XXIII’, and ‘23’. The first is an expression of English tracing the sounds a speaker makes in uttering the words ‘twenty’ and ‘three’. The second is a Roman numeral that uses signs for collections of things—‘X’ for ten things and ‘I’ for one thing—to present by addition the idea of ten and (...)
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  43. Reading Rorty:: A SKETCH OF A PLAN.Danielle Macbeth - 2011 - 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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  44.  11
    Responses to Brassier, Redding, and Wolfsdorf.Danielle Macbeth - 2017 - International Journal of Philosophical Studies 25 (1):146-156.
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  45. Sellars and Frege on Concepts and Laws.Danielle Macbeth - 2018 - In Luca Corti & Antonio Nunziante (eds.), Sellars and the History of Modern Philosophy. New York, USA: Routledge. pp. 138-156.
  46. Special Issue: The Philosophy of Wilfrid Sellars Guest Editor: Mark Lance.Danielle Macbeth - 2000 - Philosophical Studies 101:325-326.
     
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  47. Tyler Burge, Truth, Thought, Reason: Essays on Frege Reviewed By.Danielle Macbeth - 2006 - Philosophy in Review 26 (2):79-82.
     
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  48. Tyler Burge, Truth, Thought, Reason: Essays on Frege. [REVIEW]Danielle Macbeth - 2006 - Philosophy in Review 26:79-82.
     
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  49.  40
    The Logic of Relations and the Ideality of Space.Danielle MacBeth - 1995 - 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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  50.  12
    The Logic of Relations and the Ideality of Space.Danielle MacBeth - 1995 - Journal of Philosophical Research 20:367-379.
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