Edited book on the prospects of non-Platonist realism in the philosophy of mathematics. Physicalism holds that mathematics studies properties realised or realisable in the physical world. This collection of papers has its origin in a conference held at the University of Toronto in June of 1988. The theme of the conference was Physicalism in Mathematics: Recent Work in the Philosophy of Mathematics. At the conference, papers were read by Geoffrey Hellman (Minnesota), Yvon Gauthier (Montreal), Michael Hallett (McGill), Hartry Field (USC), (...) Bob Hale (Lancaster & St Andrew's), Alasdair Urquhart (Toronto) and Penelope Maddy (Irvine). This volume supplements updated versions of six of those papers with contributions by Jim Brown (Toronto), John Bigelow (La Trobe), John Burgess (Princeton), Chandler Davis (Toronto), David Papineau (Cambridge), Michael Resnik (North Carolina at Chapel Hill), Peter Simons (Salzburg) and Crispin Wright (St Andrews & Michigan). Together they provide a vivid, expansive snapshot of the exciting work which is currently being carried out in philosophy of mathematics. (shrink)

Jack and Jill have both applied for the same entry-level position at a local university. After interviewing the leading candidates, the members of the hiring committee agree that both Jack and Jill have all the necessary qualifications for appointment to the position. Both have the required education and training. Both have strong letters of recommendation from their Ph.D. supervisors and from their current employers. Both are similarly experienced and both are potentially capable of making important future contributions to their chosen (...) discipline. The members of the hiring committee also agree that Jack and Jill are superior to all other applicants for the position. In short, in the judgment of the hiring committee, they are the two best qualified candidates and both meet their potential employer's expectations concerning a successful applicant. Yet neither Jack nor Jill is clearly superior to the other. (shrink)

Consider the following sentence schema:This sentence entails that ϕ.Call a sentence which is obtained from this schema by the substitution of an arbitrary, contingent sentence, s, for ϕ, the sentence CS. Thus, This sentence entails that s.Now ask the following question: Is CS true?One sentence classically entails a second if and only if it is impossible for both the first to be true and the second to be false. Thus ‘Xanthippe is a mother’ entails ‘Xanthippe is female’ if and only (...) if it is impossible for both ‘Xanthippe is a mother’ to be true and ‘Xanthippe is female’ to be false. CS makes a claim about a purported entailment. Thus, CS is true if and only if it is impossible for both the sentence it mentions as entailing a second to be true and the sentence it mentions as being entailed by the first to be false. In other words, CS is true if and only if it is impossible for both CS to be true and s to be false. In yet other words, CS is false if and only if it is possible for both CS to be true and s to be false. (shrink)

NOTES: Based on the book Socrates on trial written by Andrew Irvine and published by the University of Toronto Press. Performed at the Chan Centre for the Performing Arts, University of British Columbia, Vancouver, Canada, May 31-June 7, 2008. CONTENTS: Trailer, Who was Socrates?, Selected scenes, The production, Credits. UBC Library Catalogue Permanent URL: http://resolve.library.ubc.ca/cgi-bin/catsearch?bid=3956307.

Abstract Newcomb's problem is regularly described as a problem arising from equally defensible yet contradictory models of rationality. Braess? paradox is regularly described as nothing more than the existence of non?intuitive (but ultimately non?contradictory) equilibrium points within physical networks of various kinds. Yet it can be shown that Newcomb's problem is structurally identical to Braess? paradox. Both are instances of a well?known result in game theory, namely that equilibria of non?cooperative games are generally Pareto?inefficient. Newcomb's problem is simply a limiting (...) case in which the number of players equals one. Braess? paradox is another limiting case in which the ?players? need not be assumed to be discrete individuals. The result is that Newcomb's problem is no more difficult to solve than (the easy to solve) Braess? paradox. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:A Bibliography of Bertrand Russell. Volume I: Separate Publications, 1896–1990 by Kenneth Blackwell, Harry RujaG. A. Wedeking and A. D. IrvineKenneth Blackwell and Harry Ruja. A Bibliography of Bertrand Russell. Volume I: Separate Publications, 1896–1990. Pp. lvi + 611. Volume II: Serial Publications, 1890–1990. Pp. xiv + 575. Volume III: Indexes. Pp. xi + 305. London: Routledge, 1994. Cloth, $455.00 the set.As Russell remarked: “It is a curious (...) fact that the most indubitably useful books are those most devoid of literary merit; for example, railway timetables and the telephone [End Page 146] book” (Vol. I, p. xlviii). Even so, since it will be agreed immediately that, for anyone interested in learning more about Russell’s writings, this beautifully crafted bibliography will be extremely useful, it would be a disservice to the authors to imply that it has no more literary merit than a railway timetable. The entire project simply has too much style.When Russell’s bibliographers began their task, fewer than 600 publications by Russell were known. By the time of publication they were able to record 181 of Russell’s books, pamphlets and leaflets, 629 contributions to books, pamphlets, and leaflets primarily authored by others, and approximately 3,550 serial publications of various types. Not being content merely to record the details of these publications, the authors follow each publication through its various editions, impressions, reprints, and translations. This is no mean task, given that Russell’s work has been translated into some 47 languages. In addition, the authors cite related pre-publication materials, give sources for rare and difficult-to-find books and documents, and include a comprehensive index. In short, they do nothing less than provide an authoritative, detailed record of Russell’s published work from 1890 to 1990.As the authors also point out, this is “a bibliography not only of Russell’s writings submitted and actually published, but also of certain other texts. Together they can be regarded as his published thoughts” (I: xix). Thus the bibliography mentions not only Russell’s books, articles, and published letters, but published accounts of his speeches, addresses, press conferences, and interviews; book reviews and recommendations (what Russell called “puffs”) for other people’s books; multiple-signatory letters to the editor and other similar documents; published extracts from Russell’s private correspondence and originally unpublished manuscripts; and audio recordings and films. A mark of the bibliography’s completeness is its catalogue of works that have been spuriously attributed to Russell, including two posthumous “spirit communications” (II: 573–74).The authors candidly describe Russell’s reaction when in 1966 he was shown slips of accumulated new entries: “ ‘I am impressed’, he said, ‘but I don’t think it’s worth it’ “ (I: li). Now, after several decades, we are finally in a position to evaluate Russell’s opinion. To do so, users of the bibliography will want to know the answer to three questions: Is the bibliography complete? Is it accurate? Is it easy to use?With regard to the first two of these three questions, the authors have made a commendable effort to balance comprehensiveness with accuracy (see their discussion of some problem cases, “Introduction,” I: xxvi ff.), rightly preferring accuracy to other desiderata. Concerning ease of use, one issue which comes to mind is whether the inclusion of such minor items as political pamphlets, letters to the editor, and statements made at news conferences, are always worth recording, or whether these items simply make the project so large as to be unmanageable. Once again, upon seeing the completed work, the reader will have little doubt that the correct decision has been made. Researchers interested in Russell’s political involvements and their relation to his more theoretical works, for example, will find this an invaluable resource. All in all, we believe that the bibliography will surpass the requirements of even the most demanding of users. It was, pace Russell, definitely worth it. [End Page 147]As with other volumes associated with the Collected Papers of Bertrand Russell project, these three volumes are beautifully typeset and bound. They will be a pleasure to use for both students and scholars alike for generations to... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:A Bibliography of Bertrand Russell. Volume I: Separate Publications, 1896–1990 by Kenneth Blackwell, Harry RujaG. A. Wedeking and A. D. IrvineKenneth Blackwell and Harry Ruja. A Bibliography of Bertrand Russell. Volume I: Separate Publications, 1896–1990. Pp. lvi + 611. Volume II: Serial Publications, 1890–1990. Pp. xiv + 575. Volume III: Indexes. Pp. xi + 305. London: Routledge, 1994. Cloth, $455.00 the set.As Russell remarked: “It is a curious (...) fact that the most indubitably useful books are those most devoid of literary merit; for example, railway timetables and the telephone [End Page 146] book” (Vol. I, p. xlviii). Even so, since it will be agreed immediately that, for anyone interested in learning more about Russell’s writings, this beautifully crafted bibliography will be extremely useful, it would be a disservice to the authors to imply that it has no more literary merit than a railway timetable. The entire project simply has too much style.When Russell’s bibliographers began their task, fewer than 600 publications by Russell were known. By the time of publication they were able to record 181 of Russell’s books, pamphlets and leaflets, 629 contributions to books, pamphlets, and leaflets primarily authored by others, and approximately 3,550 serial publications of various types. Not being content merely to record the details of these publications, the authors follow each publication through its various editions, impressions, reprints, and translations. This is no mean task, given that Russell’s work has been translated into some 47 languages. In addition, the authors cite related pre-publication materials, give sources for rare and difficult-to-find books and documents, and include a comprehensive index. In short, they do nothing less than provide an authoritative, detailed record of Russell’s published work from 1890 to 1990.As the authors also point out, this is “a bibliography not only of Russell’s writings submitted and actually published, but also of certain other texts. Together they can be regarded as his published thoughts” (I: xix). Thus the bibliography mentions not only Russell’s books, articles, and published letters, but published accounts of his speeches, addresses, press conferences, and interviews; book reviews and recommendations (what Russell called “puffs”) for other people’s books; multiple-signatory letters to the editor and other similar documents; published extracts from Russell’s private correspondence and originally unpublished manuscripts; and audio recordings and films. A mark of the bibliography’s completeness is its catalogue of works that have been spuriously attributed to Russell, including two posthumous “spirit communications” (II: 573–74).The authors candidly describe Russell’s reaction when in 1966 he was shown slips of accumulated new entries: “ ‘I am impressed’, he said, ‘but I don’t think it’s worth it’ “ (I: li). Now, after several decades, we are finally in a position to evaluate Russell’s opinion. To do so, users of the bibliography will want to know the answer to three questions: Is the bibliography complete? Is it accurate? Is it easy to use?With regard to the first two of these three questions, the authors have made a commendable effort to balance comprehensiveness with accuracy (see their discussion of some problem cases, “Introduction,” I: xxvi ff.), rightly preferring accuracy to other desiderata. Concerning ease of use, one issue which comes to mind is whether the inclusion of such minor items as political pamphlets, letters to the editor, and statements made at news conferences, are always worth recording, or whether these items simply make the project so large as to be unmanageable. Once again, upon seeing the completed work, the reader will have little doubt that the correct decision has been made. Researchers interested in Russell’s political involvements and their relation to his more theoretical works, for example, will find this an invaluable resource. All in all, we believe that the bibliography will surpass the requirements of even the most demanding of users. It was, pace Russell, definitely worth it. [End Page 147]As with other volumes associated with the Collected Papers of Bertrand Russell project, these three volumes are beautifully typeset and bound. They will be a pleasure to use for both students and scholars alike for generations to... (shrink)