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  • Influence
Lakatos: An Introduction
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 anyoneExpand
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How to think about informal proofs
TLDR
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, thereby supplying a partial characterisation of normal research in the field. Expand
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  • PDF
Why did Kuhn's structure of scientific revolutions cause a fuss
Abstract 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 thanExpand
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Why the Naïve Derivation Recipe Model Cannot Explain How Mathematicians’ Proofs Secure Mathematical Knowledge
This is a pre-copyedited, author-produced PDF of an article accepted for publication in Philosophia Mathematica following peer review. Under embargo. Embargo end date: 7 July 2018 The version ofExpand
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From Euclidean geometry to knots and nets
  • B. Larvor
  • Computer Science
  • Synthese
  • 15 July 2019
TLDR
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. Expand
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Authoritarian Versus Authoritative Teaching: Polya and Lakatos
Lakatos argued that a proof, when presented in the usual “Euclidian” style, may leave the choice of theorem, definitions and proof-idea mysterious. To remove these mysteries, he recommended aExpand
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Three is a magic number
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Mathematical Cultures : The London Meetings 2012-2014
Brendan Larvor, Ed., Mathematical Cultures: The London Meetings 2012-2014 (Switzerland: Springer 2016), ISBN: 978-3-319-28580-1, DOI: 10.1007/978-3-319-28582-5
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Old Maps, Crystal Spheres and the Cartesian Circle
Original article can be found at: http://www.nlx.com/Journals/gfj.htm [Full text of this article is not available in the UHRA]
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The Mathematical Cultures Network Project
Mathematics has universal standards of validity. Nevertheless, there are local styles in mathematics. These may be the legacy of a dominant individual (e.g., the Newtonianism of 18th century BritishExpand
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