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Brendan Larvor [43]Brendan P. Larvor [3]
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Profile: Brendan Larvor (University of Hertfordshire)
  1.  61
    Brendan Larvor (2010). Frankfurt Counter-Example Defused. Analysis 70 (3):506-508.
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  2.  22
    Brendan Larvor (1998). Lakatos: An Introduction. Routledge.
    Lakatos: An Introduction is the first comprehensive analysis on the intellectual life and theories of the distinguished thinker Imre Lakatos. This book clearly presents Lakatos's development of a philosophy of mathematics and empirical science, Lakatos's thought as an important hybrid of Popperian philosophy and Hegelian-Marxist thought, the relationship between Lakatos's views on science and mathematics and his more general philosophical beliefs. Brendan Larvor clearly locates Lakatos in the liberal-rationalist tradition and explains connections between the philosopher's life, philosophy, politics, and technical (...)
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  3. Brendan Larvor (1995). Blasphemy and the Rushdie Affair. Philosophy Now 14:13-14.
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  4.  5
    Brendan Larvor (2013). What Philosophy of Mathematical Practice Can Teach Argumentation Theory About Diagrams and Pictures. In Andrew Aberdein & Ian J. Dove (eds.), The Argument of Mathematics. Springer 239--253.
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  5.  22
    Brendan P. Larvor (1997). Lakatos as Historian of Mathematics. 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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  6.  30
    Brendan Larvor (2001). What is Dialectical Philosophy of Mathematics? 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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  7.  6
    Brendan Larvor (2016). Why the Naïve Derivation Recipe Model Cannot Explain How Mathematicians’ Proofs Secure Mathematical Knowledge. 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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  8.  40
    Brendan Larvor (2004). Tu Quoque, Archbishop. 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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  9.  58
    Brendan Larvor (2008). Moral Particularism and Scientific Practice. 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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  10.  27
    Brendan Larvor (1999). Reply to James Blachowicz. The Owl of Minerva 31 (1):53-54.
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  11.  38
    Brendan Larvor (1999). Lakatos's Mathematical Hegelianism. The Owl of Minerva 31 (1):23-44.
  12.  12
    Brendan P. Larvor, Benedikt Löwe & Dirk Schlimm (2015). History and Philosophy of Infinity. Synthese 192 (8):2339-2344.
  13.  65
    Brendan Larvor (2012). How to Think About Informal Proofs. 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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  14.  12
    Brendan Larvor (2015). Tales of Wonder. Metascience 24 (3):471-478.
    Why is there Philosophy of Mathematics at all? Ian Hacking. in Metascience (2015).
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  15.  31
    Brendan Larvor (2010). Williams on Dawkins – Response. 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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  16.  83
    Brendan Larvor (2000). Imre Lakatos and Paul Feyerabend for and Against Method: Including Lakatos's Lectures on Scientific Method and the Lakatos–Feyerabend Correspondence. [REVIEW] British Journal for the Philosophy of Science 51 (4):919-922.
  17.  28
    Brendan Larvor (forthcoming). Feeling the Force of Argument. Teaching Philosophy.
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  18.  27
    Brendan Larvor (2005). Should Philosophy Replace Religious Education? A Reply to Brenda Watson. 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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  19.  8
    Brendan Larvor (1992). Re-Reading Soviet Philosophy: Bakhurst on Ilyenkov. Studies in Soviet Thought 44 (1):1-31.
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  20.  44
    Brendan Larvor (2009). Three is a Magic Number. 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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  21.  27
    Brendan Larvor (1992). Re-Reading Soviet Philosophy: Bakhurst on Ilyenkov. Studies in East European Thought 44 (1):1-31.
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  22.  53
    Brendan P. Larvor (2002). Books of Essays. Philosophia Mathematica 10 (1):93-96.
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  23.  56
    Brendan Larvor (2008). What Can the Philosophy of Mathematics Learn From the History of Mathematics? 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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  24. Imre Lakatos, Paul Feyerabend & Brendan Larvor (2000). Reviews-For and Against Method: Including Lakatos's Lectures on Scientific Method and the Lakatos-Feyerabend Correspondence. British Journal for the Philosophy of Science 51 (4):919-922.
     
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  25.  25
    Brendan Larvor (1998). Two Cultures. 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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  26.  2
    Brendan Larvor (2008). What Can the Philosophy of Mathematics Learn From the History of Mathematics? Erkenntnis 68 (3):393-407.
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  27.  4
    Brendan Larvor (2005). Proof in C17 Algebra. 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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  28.  4
    Brendan Larvor (2008). Peevish Popperian Philosophy of Science. Metascience 17 (1):127-130.
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  29.  16
    Jessica Carter, Jussi Haukioja, Mariska E. M. P. J. Leunissen & Brendan Larvor (2007). Book Reviews. [REVIEW] International Studies in the Philosophy of Science 21 (2):213 – 225.
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  30.  5
    Brendan Larvor (2001). Old Maps, Crystal Spheres, and the Cartesian Circle. Graduate Faculty Philosophy Journal 22 (2):13-27.
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  31.  7
    Brendan Larvor (2003). The Formalising Tendency in Philosophy and Experimental Psychology. 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.  10
    Brendan Larvor (1994). The Owl and the Pussycat. Philosophical Quarterly 44 (175):233-239.
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  33.  3
    Brendan Larvor (2010). Albert Lautman, ou la dialectique dans les mathématiques. 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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  34.  6
    Brendan Larvor (1994). History, Methodology and Early Algebra. 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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  35.  2
    Brendan Larvor (1996). Economics and Rationality. Philosophy Now 15:13-16.
  36. Brendan Larvor (2013). Lakatos: An Introduction. 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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  37. Brendan Larvor (1994). Michael Detlefsen, Ed., "Proof and Knowledge in Mathematics". [REVIEW] International Journal of Philosophical Studies 2 (1):149.
     
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  38. Brendan Larvor (1994). Michael Detlefsen, Ed., "Proof, Logic and Formalization". International Journal of Philosophical Studies:149.
     
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  39. Brendan Larvor (1995). The Philosophy of Mathematics of Imre Lakatos.
    DPhil dissertation, University of Oxford.
     
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  40. Alison Pease & Brendan Larvor (eds.) (2012). Proceedings of the Symposium on Mathematical Practice and Cognition Ii: A Symposium at the Aisb/Iacap World Congress 2012. Society for the Study of Artificial Intelligence and the Simulation of Behaviour.
     
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