Titlebook: Russell‘s Unknown Logicism; A Study in the Histo Sébastien Gandon Book 2012 Palgrave Macmillan, a division of Macmillan Publishers Limited

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Projective Geometry,erbolic and the elliptic) could be developed in a projective setting. The method was rather complicated (see Chapter 2), but the mathematical reasoning was widely known and used at the time. If Russell did not completely endorse the reduction of all the metrical concepts to the projective ones, he c

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,Geometry, Logicism and ‘If-Thenism’, viewed the articulation between geometry and logic. Russell is well known for having claimed that geometry (projective geometry at least) is a part of pure mathematics. But how did he proceed to reduce geometry to logic? As we began to see in Chapter 2, the standard answer is ‘if-thenism’: to regar

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Quantity in ,he abstraction principle. or when examining the genesis of PoM.. But, except Michell (1997; 1999), nobody, to my knowledge, has tried to present in detail Russell’s doctrine. There are some reasons for that. First, even if it is quite short (40 pages), PoM III is terribly complicated. Russell introd

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Application Constraint in ,matical concept (rational and real numbers in the case in point) should account for its main applications. I emphasized that the way they implemented the constraint was different from Frege’s, but I have not yet explained why they endorsed ..

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2634-5994 iculously unpicking the details of these texts and bringing a new interpretation of both the mathematical and the philosophical content. Winner of The Bertrand Russell Society Book Award 2013.978-1-349-36683-5978-1-137-02465-7Series ISSN 2634-5994 Series E-ISSN 2634-6001

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Introduction,he common features of Russell’s different analyses?. What is the ontological import of an analysis?. How is the relation between understanding and analysing a concept or a proposition to be conceived?. There is no doubt that the decomposition of complex terms in PoM, the analysis of definite descrip

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