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Brendan Larvor [49]Brendan P. Larvor [4]
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Brendan Larvor
University of Hertfordshire
  1.  75
    Frankfurt Counter-Example Defused.Brendan Larvor - 2010 - Analysis 70 (3):506-508.
  2.  30
    Lakatos: An Introduction.Brendan Larvor - 1998 - Routledge.
    _Lakatos: An Introduction_ provides a thorough overview of both Lakatos's thought and his place in twentieth century philosophy. It is an essential and insightful read for students and anyone interested in the philosophy of science.
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  3. Blasphemy and the Rushdie Affair.Brendan Larvor - 1995 - Philosophy Now 14:13-14.
  4.  7
    Why ‘Scaffolding’ is the Wrong Metaphor: The Cognitive Usefulness of Mathematical Representations.Brendan Larvor - unknown
    The metaphor of scaffolding has become current in discussions of the cognitive help we get from artefacts, environmental affordances and each other. Consideration of mathematical tools and representations indicates that in these cases at least, scaffolding is the wrong picture, because scaffolding in good order is immobile, temporary and crude. Mathematical representations can be manipulated, are not temporary structures to aid development, and are refined. Reflection on examples from elementary algebra indicates that Menary is on the right track with his (...)
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  5.  77
    How to Think About Informal Proofs.Brendan Larvor - 2012 - Synthese 187 (2):715-730.
    It is argued in this study that (i) progress in the philosophy of mathematical practice requires a general positive account of informal proof; (ii) the best candidate is to think of informal proofs as arguments that depend on their matter as well as their logical form; (iii) articulating the dependency of informal inferences on their content requires a redefinition of logic as the general study of inferential actions; (iv) it is a decisive advantage of this conception of logic that it (...)
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  6.  5
    Why Did Kuhn’s Structure of Scientific Revolutions Cause a Fuss?Brendan Larvor - 2003 - Studies in History and Philosophy of Science Part A 34 (2):369-390.
    After the publication of The structure of scientific revolutions, Kuhn attempted to fend off accusations of extremism by explaining that his allegedly “relativist” theory is little more than the mundane analytical apparatus common to most historians. The appearance of radicalism is due to the novelty of applying this machinery to the history of science. This defence fails, but it provides an important clue. The claim of this paper is that Kuhn inadvertently allowed features of his procedure and experience as an (...)
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  7.  39
    What is Dialectical Philosophy of Mathematics?Brendan Larvor - 2001 - Philosophia Mathematica 9 (2):212-229.
    The late Imre Lakatos once hoped to found a school of dialectical philosophy of mathematics. The aim of this paper is to ask what that might possibly mean. But Lakatos's philosophy has serious shortcomings. The paper elaborates a conception of dialectical philosophy of mathematics that repairs these defects and considers the work of three philosophers who in some measure fit the description: Yehuda Rav, Mary Leng and David Corfield.
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  8.  11
    Why the Naïve Derivation Recipe Model Cannot Explain How Mathematicians’ Proofs Secure Mathematical Knowledge.Brendan Larvor - 2016 - Philosophia Mathematica 24 (3):401-404.
    The view that a mathematical proof is a sketch of or recipe for a formal derivation requires the proof to function as an argument that there is a suitable derivation. This is a mathematical conclusion, and to avoid a regress we require some other account of how the proof can establish it.
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  9.  13
    What Philosophy of Mathematical Practice Can Teach Argumentation Theory About Diagrams and Pictures.Brendan Larvor - 2013 - In Andrew Aberdein & Ian J. Dove (eds.), The Argument of Mathematics. Springer. pp. 239--253.
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  10.  44
    Lakatos as Historian of Mathematics.Brendan P. Larvor - 1997 - Philosophia Mathematica 5 (1):42-64.
    This paper discusses the connection between the actual history of mathematics and Lakatos's philosophy of mathematics, in three parts. The first points to studies by Lakatos and others which support his conception of mathematics and its history. In the second I suggest that the apparent poverty of Lakatosian examples may be due to the way in which the history of mathematics is usually written. The third part argues that Lakatos is right to hold philosophy accountable to history, even if Lakatos's (...)
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  11.  79
    Tu Quoque, Archbishop.Brendan Larvor - 2004 - Think 3 (7):101-108.
    Brendan Larvor finds that the Archbishop of Canterbury's recent arguments about religious education are a curate's egg.
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  12. Two Cultures.Brendan Larvor - 1998 - Cogito 12 (1):13-16.
    The schism between analytic and continental philosophy resists repair because it is not confined to philosophers. It is a local manifestation of a far more profound and pervasive division. In 1959 C.P. Snow lamented the partition of intellectual life in to `two cultures': that of the scientist and that of the literary intellectual. If we follow the practice of most universities and bundle historical and literary studies together in the faculty of humanities on the one hand, and count pure mathematics (...)
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  13.  75
    Tales of Wonder.Brendan Larvor - 2015 - Metascience 24 (3):471-478.
    Why is there Philosophy of Mathematics at all? Ian Hacking. in Metascience (2015).
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  14.  64
    What Can the Philosophy of Mathematics Learn From the History of Mathematics?Brendan Larvor - 2008 - Erkenntnis 68 (3):393-407.
    This article canvasses five senses in which one might introduce an historical element into the philosophy of mathematics: 1. The temporal dimension of logic; 2. Explanatory Appeal to Context rather than to General Principles; 3. Heraclitean Flux; 4. All history is the History of Thought; and 5. History is Non-Judgmental. It concludes by adapting Bernard Williams’ distinction between ‘history of philosophy’ and ‘history of ideas’ to argue that the philosophy of mathematics is unavoidably historical, but need not and must not (...)
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  15. Reviews-For and Against Method: Including Lakatos's Lectures on Scientific Method and the Lakatos-Feyerabend Correspondence.Imre Lakatos, Paul Feyerabend & Brendan Larvor - 2000 - British Journal for the Philosophy of Science 51 (4):919-922.
  16.  70
    Moral Particularism and Scientific Practice.Brendan Larvor - 2008 - Metaphilosophy 39 (4-5):492-507.
    Abstract: Particularism is usually understood as a position in moral philosophy. In fact, it is a view about all reasons, not only moral reasons. Here, I show that particularism is a familiar and controversial position in the philosophy of science and mathematics. I then argue for particularism with respect to scientific and mathematical reasoning. This has a bearing on moral particularism, because if particularism about moral reasons is true, then particularism must be true with respect to reasons of any sort, (...)
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  17.  75
    Williams on Dawkins – Response.Brendan Larvor - 2010 - Think 9 (26):21-27.
    Peter Williams complains that Richard Dawkins wraps his naturalism in ‘a fake finery of counterfeit meaning and purpose’. For his part, Williams has wrapped his complaint in an unoriginal and inapt analogy. The weavers in Hans Christian Andersen's fable announce that the Emperor's clothes are invisible to stupid people; almost the whole population pretends to see them for fear of being thought stupid . Fear of being thought stupid does not seem to trouble Richard Dawkins. Moreover, Williams offers no reason (...)
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  18.  9
    Weber and Coyote: Polytheism as a Practical Attitude.Brendan Larvor - forthcoming - Sophia:1-18.
    Hyde claims that the trickster spirit is necessary for the renewal of culture, and that he lives only in the ‘complex terrain of polytheism’. Fortunately for those of us in monotheistic cultures, Weber gives reasons for thinking that polytheism is making a return, albeit in a new, disenchanted form. The plan of this paper is to elaborate some basic notions from Weber, to explore Hyde’s thesis in more detail and then to take up the question of the plurality of spirits (...)
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  19.  41
    Lakatos's Mathematical Hegelianism.Brendan Larvor - 1999 - The Owl of Minerva 31 (1):23-44.
  20.  53
    Feeling the Force of Argument.Brendan Larvor - forthcoming - Teaching Philosophy.
  21.  93
    Imre Lakatos and Paul Feyerabend for and Against Method: Including Lakatos's Lectures on Scientific Method and the Lakatos–Feyerabend Correspondence. [REVIEW]Brendan Larvor - 2000 - British Journal for the Philosophy of Science 51 (4):919-922.
  22.  28
    History and Philosophy of Infinity.Brendan P. Larvor, Benedikt Löwe & Dirk Schlimm - 2015 - Synthese 192 (8):2339-2344.
  23.  29
    Reply to James Blachowicz.Brendan Larvor - 1999 - The Owl of Minerva 31 (1):53-54.
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  24.  31
    Re-Reading Soviet Philosophy: Bakhurst on Ilyenkov.Brendan Larvor - 1992 - Studies in East European Thought 44 (1):1-31.
  25.  8
    From Euclidean Geometry to Knots and Nets.Brendan Larvor - 2017 - Synthese:1-22.
    This paper assumes the success of arguments against the view that informal mathematical proofs secure rational conviction in virtue of their relations with corresponding formal derivations. This assumption entails a need for an alternative account of the logic of informal mathematical proofs. Following examination of case studies by Manders, De Toffoli and Giardino, Leitgeb, Feferman and others, this paper proposes a framework for analysing those informal proofs that appeal to the perception or modification of diagrams or to the inspection or (...)
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  26.  32
    Should Philosophy Replace Religious Education? A Reply to Brenda Watson.Brendan Larvor - 2005 - Think 4 (10):31-33.
    In Issue 7 of Think, Brendan Larvor criticised the Archbishop of Canterbury, Rowan Williams, for suggesting that atheism and humanism ought not to be taught in schools alongside the religious faiths. In Issue 9, Brenda Watson defended the Archbishop's view. Here, Larvor replies to Watson. The numbers below refer to numbered points in Watson's piece.
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  27.  46
    Three is a Magic Number.Brendan Larvor - 2009 - The Philosophers' Magazine 44 (44):83-88.
    Logical theory – and philosophical theory generally – is just that, theory. Generations of logic students felt a sort of unease about it without knowing what to do about it. Nowadays, students of mathematical logic feel a similar unease when faced with the fact that in standard predicate calculus, “All unicorns are sneaky” is true precisely because there are no unicorns. Blanché’s analysis reminds us that such feelings of unease may indicate a shortcoming in the theory rather than in the (...)
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  28.  60
    Books of Essays.Brendan P. Larvor - 2002 - Philosophia Mathematica 10 (1):93-96.
  29.  25
    Proof in C17 Algebra.Brendan Larvor - 2005 - Philosophia Scientae:43-59.
    By the middle of the seventeenth century we that find that algebra is able to offer proofs in its own right. That is, by that time algebraic argument had achieved the status of proof. How did this transformation come about?
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  30.  9
    Re-Reading Soviet Philosophy: Bakhurst on Ilyenkov.Brendan Larvor - 1992 - Studies in Soviet Thought 44 (1):1-31.
  31.  13
    The Formalising Tendency in Philosophy and Experimental Psychology.Brendan Larvor - 2003 - Phenomenology and the Cognitive Sciences 2 (4):337-352.
    This paper is an exercise in the phenomenology of science. It examines the tendency to prefer formal accounts in a familiar body of experimental psychology. It will argue that, because of this tendency, psychologists of this school neglect those forms of human cognition typical of the humanities disciplines. This is not a criticism of psychology, however. Such neglect is compatible with scientific rigour, provided it does not go unnoticed. Indeed, reflection on the case in hand allows us to refine the (...)
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  32.  17
    Book Reviews. [REVIEW]Jessica Carter, Jussi Haukioja, Mariska E. M. P. J. Leunissen & Brendan Larvor - 2007 - International Studies in the Philosophy of Science 21 (2):213 – 225.
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  33.  2
    Emily Grosholz and Herbert Breger, Editors. The Growth of Mathematical Knowledge.Brendan P. Larvor - 2002 - Philosophia Mathematica 10 (1):93-96.
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  34.  6
    Peevish Popperian Philosophy of Science.Brendan Larvor - 2008 - Metascience 17 (1):127-130.
  35.  7
    Albert Lautman, ou la dialectique dans les mathématiques.Brendan Larvor - 2010 - Philosophiques 37 (1):75-94.
    Dans cet article, j’explore dans un premier temps la conception que se fait Lautman de la dialectique en examinant ses références à Platon et Heidegger. Je compare ensuite les structures dialectiques identifiées par Lautman dans les mathématiques contemporaines avec celles qui émergent de ses sources philosophiques. Enfin, je soutiens que les structures qu’il a découvertes dans les mathématiques sont plus riches que le suggère son modèle platonicien, et que la distinction « ontologique » de Heidegger est moins utile que semblait (...)
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  36.  3
    Should Philosophy Replace Religious Education? A Reply to Brenda Watson: Larvor Reply to Watson.Brendan Larvor - 2005 - Think 4 (10):31-33.
    In Issue 7 of Think, Brendan Larvor criticised the Archbishop of Canterbury, Rowan Williams, for suggesting that atheism and humanism ought not to be taught in schools alongside the religious faiths. In Issue 9, Brenda Watson defended the Archbishop's view. Here, Larvor replies to Watson. The numbers below refer to numbered points in Watson's piece.
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  37.  13
    The Owl and the Pussycat.Brendan Larvor - 1994 - Philosophical Quarterly 44 (175):233-239.
  38.  6
    Old Maps, Crystal Spheres, and the Cartesian Circle.Brendan Larvor - 2001 - Graduate Faculty Philosophy Journal 22 (2):13-27.
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  39.  8
    History, Methodology and Early Algebra.Brendan Larvor - 1994 - International Studies in the Philosophy of Science 8 (2):113 – 124.
    Abstract The limits of ?criterial rationality? (that is, rationality as rule?following) have been extensively explored in the philosophy of science by Kuhn and others. In this paper I attempt to extend this line of enquiry into mathematics by means of a pair of case studies in early algebra. The first case is the Ars Magna (Nuremburg 1545) by Jerome Cardan (1501?1576), in which a then recently?discovered formula for finding the roots of some cubic equations is extended to cover all cubics (...)
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  40.  4
    Economics and Rationality.Brendan Larvor - 1996 - Philosophy Now 15:13-16.
  41.  1
    Paolo Mancosu, Ed. The Philosophy of Mathematical Practice. Oxford: Oxford University Press, 2008. ISBN 978-0-19-929645-3. Pp. Xi &Plus; 447: Critical Studies/Book Reviews. [REVIEW]Brendan Larvor - 2010 - Philosophia Mathematica 18 (3):350-360.
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  42. Mathematical Cultures.Brendan Larvor (ed.) - 2016 - Springer International Publishing.
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  43. Michael Detlefsen, Ed., "Proof and Knowledge in Mathematics". [REVIEW]Brendan Larvor - 1994 - International Journal of Philosophical Studies 2 (1):149.
     
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  44. Michael Detlefsen, Ed., "Proof, Logic and Formalization".Brendan Larvor - 1994 - International Journal of Philosophical Studies:149.
     
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  45. Three is a Magic Number.Brendan Larvor - 2009 - The Philosophers' Magazine 44:83-88.
    Logical theory – and philosophical theory generally – is just that, theory. Generations of logic students felt a sort of unease about it without knowing what to do about it. Nowadays, students of mathematical logic feel a similar unease when faced with the fact that in standard predicate calculus, “All unicorns are sneaky” is true precisely because there are no unicorns. Blanché’s analysis reminds us that such feelings of unease may indicate a shortcoming in the theory rather than in the (...)
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  46. The Philosophy of Mathematics of Imre Lakatos.Brendan Larvor - 1995
    DPhil dissertation, University of Oxford.
     
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  47. Proceedings of the Symposium on Mathematical Practice and Cognition Ii: A Symposium at the Aisb/Iacap World Congress 2012.Alison Pease & Brendan Larvor (eds.) - 2012 - Society for the Study of Artificial Intelligence and the Simulation of Behaviour.