King's College London - Professor Moshe Machover

Moshe Machover

Professor Moshe Machover

Former Professor of Philosophy

Biography

Moshé Machover was born in Tel-Aviv, studied at the Hebrew University of Jerusalem and taught mathematics there before coming to London University in 1968. He was at first at Chelsea College, then in the History and Philosphy of Science Department at KCL, joining the Department of Philosophy in 1992.

He was Reader in Mathematical Logic, and is now Professor of Philosophy. Among his publications are: Lectures on Non-Standard Analysis (with J. Hirschfeld), A Course in Mathematical Logic (with J.L. Bell) and Laws of Chaos: A Probabilistic Approach to Political Economy (with E. Farjoun), Set Theory, Logic and their Limitations, and The Measurement of Voting Power: Theory and Practice, Problems and Paradoxes (with D. Felsenthal).

His current interests include nonstandard analysis and voting paradoxes.

Selected publications

Books

1977: A Course in Mathematical Logic (with J. L. Bell), North-Holland, 599pp. (Second printing 1986).
1983: Laws of Chaos, A Probabilistic Approach to Political Economy (with E. Farjoun), Verso, 264pp.
1996: Set Theory, Logic and their Limitations, Cambridge University Press, ix + 288pp. Reprinted 1998.
1998: The Measurement of Voting Power; Theory and Practice, Problems and Paradoxes (with Dan S. Felsenthal), Edward Elgar Publishing, xviii + 322pp.

Recent publications

"Voting Power and Parliamentary Defections: The 1953–54 French National Assembly Revisited", (with D. Felsenthal). Mimeographed.
2003: "Qualified majority voting: The effect of the quota" (with D Leech), forthcoming in Yearbook on New Political Economy
2005 "Voting power measurement: A story of misreinvention" (with D S Felsenthal), forthcoming in Social Choice and Welfare.

Papers in refereed journals and collections

1960: "Note on sentences preserved under direct products and powers". Bull de l'Acad Polonaise des Sciences, Ser Sc Math, 3:519–23.
1961: "The theory of transfinite recursion". Bull American Math Soc, 67:575–8.
1966: "Contextual determinacy in Lesniewski's grammar". Studia Logica, 19:47–57.
1970: "A note on non-standard topology", (with I. Juhász). Indag Math, 31:482–4.
1983: "Towards a new philosophy of mathematics". British Journal Philosophy of Science, 34:1–11.
1985: "Probability, economics and the labour theory of value", (with E. Farjoun). New Left Review 152:95–108.
1992: "After two centuries, should Condorcet's voting procedure be implemented?", (with D. Felsenthal). Behavioral Science, 37:250–74.
1992: "Sequential voting by veto: Making the Mueller–Moulin algorithm more versatile", (with D. Felsenthal). Theory and Decision, 33:223–40.
1993: "The place of nonstandard analysis in mathematics and in mathematics teaching", British Journal Philosophy of Science, 44:205–12.
1995: "Postulates and paradoxes of Voting Power - A critical re-appraisal", (with D. Felsenthal). Theory and Decision, 38:195-229.
1995: "Who ought to be elected and who is actually elected? - An empirical investigation of 92 elections under three procedures", (with D. Felsenthal). Electoral Studies, 14:143-69.
1995: "Is this the way to elect a Prime Minister? The paradoxical properties of an electoral procedure used in Israel", (Hebrew; with D. Felsenthal). Medinah, Mimshal ve-Yahasim Beinle’umiyim, (State, Government and International Relations, an Israeli Journal of Political Science), 40:5-30.
1995: "Power, power indices, and blocking power: A comment on Johnston", (with G. Garrett and I. McLean). British Journal of Political Science, 25:563–568.
1996: "Alternative forms of the Shapley value and the Shapley-Shubik index", (with D. Felsenthal). Public Choice, 87:313–318.
1997: "The weighted voting rule in the EU Council of Ministers, 1958-1995 -Intentions and outcomes", (with D. Felsenthal). Electoral Studies, 6:33-47.
1997: "Analysis, Non-Standard". 3000-word entry in the Routledge Encyclopedia of Philosophy.
1997: "Tenary voting games", (with D. Felsenthal). International Journal of Game Theory, 26:335–351.
1998: "The bicameral postulates and indices of a priori voting power", (with D. Felsenthal and William Zwicker). Theory and Decision, 44:83-116.
1998: "The product paradox of voting power", (with D. Felsenthal). Public Choice, 96:81-92.
1999: "Minimizing the mean majority deficit: The second square-root Rule", (with D. Felsenthal). Mathematical Social Sciences, 37:25-37.
2000: "Notions of a priori voting power: Critique of Holler and Widgrén", Homo Oeconomicus, XVI(4):415-25. Also Notizie di Politea, 59:29-38.
2001: "Myths and meanings of voting power: Comments on a symposium", (with D. Felsenthal). Journal of Theoretical Politics 13:81-97.
2001: "The Treaty of Nice and qualified majority voting", (with D. Felsenthal). Social Choice and Welfare 18:431-464.
2001: "Models and reality: The curious case of the absent abstention" (with D. Felsenthal) in Holler M.J. and Owen G. (eds.) Power Indices and Coalition Formation, Kluwer Acedemic Publishers; pp. 87-103.
2001: "Misreporting Rules", (with D. Felsenthal). Homo Oeconomicus XVII (4): 371-390.
2002: "Annexations and Alliances: When are blocs advantageous a priori?", (with D. Felsenthal), Social Choice and Welfare 19:295-312.
Annexations and alliances
2002: "The whole and the sum of its parts: Formation of blocs revisited", (with D. Felsenthal); in Holler M.J., Kliemt H, Schmidtchen D and Streit M. E., (eds.) Power and Fairness (Jahrbuch für Neue Politische Ökonomie Vol 20); Mohr Siebeck, pp. 279-291.
2002: "Comment on Schmidtchen and Steunenberg", in Holler M.J., Kliemt H, Schmidtchen D and Streit M. E., (eds.) Power and Fairness (Jahrbuch für Neue Politische Ökonomie Vol 20) ); Mohr Siebeck, pp. 225-227.
2002: "Comment on Braham and Steffen", in Holler M.J., Kliemt H, Schmidtchen D and Streit M. E., (eds.) Power and Fairness (Jahrbuch für Neue Politische Ökonomie Vol 20) ); Mohr Siebeck, pp. 349-353.
2002: "Models and reality: The curious case of the absent abstention" (with D. Felsenthal) Homo Oeconomicus XIX(3): pp. 297-310. [Same paper as in the 2001 volume edited by Holler & Owen]
2003: "Tony Blair's dilemma", Homo Oeconomicus XIX(4): pp. 576-581.
2003: "The Voting Power Approach: Response to a Philosophical Reproach" (with D S Felsenthal), European Union Politics 4:(4) (December 2003), pp. 473-479, 493-497.
2004: "A Priori Voting Power: What Is It All About?" (with D S Felsenthal), Political Studies Review 2(1): pp. 1-23.
2004: "L S Penrose’s limit theorem: Proof of some special cases" (with I Lindner), Mathematical Social Sciences 47: pp. 37-49.
2004: "Analysis of QM rules in the Draft Constitution for Europe proposed by the European Convention, 2003" (with D S Felsenthal), Social Choice and Welfare 23(1): pp. 1-20.
2004: "The Nice Treaty and voting rules in the Council: A reply to Moberg" (with M Hosli), Journal of Common Market Studies, 42: pp. 497–521.

Reviews and short pieces

1986: Review of Recursive Aspects of Descriptive Set Theory by R. Mansfield and G. Weitkamp. Bull LMS 18:429-30.
1988: Review of Varieties of Constructive Mathematics by D. Bridges and F. Richman. Bull LMS 1988.
1990: [Untitled] letter in Education Guardian 16.10.90, on the history of smallpox inoculation.
1991: "Is this a question?" (elucidation of a logical query) in Notes & Queries, The Guardian 3 June 1991.
1994: Review article on The Bounds of Logic. A Generalized Viewpoint by G. Sher. British Journal Philosophy of Science 45:1078–83.
1996: Review of Abraham Robinson: The Creation of Nonstandard Analysis - A Personal and Mathematical Odyssey by Joseph W. Dauben. British Journal Philosophy of Science 47:137-140.
1996: Review of Real Numbers, Generalizations of Reals, and Theories of Continua, Philip Ehrlich (ed.). British Journal for the Philosophy of Science 47:320-4.
2001: Review of Simple Games, Desirability Relations, Trading, Psedoweightings by Taylor and Zwicker. Social Choice and Welfare 18:617–618.

Reports and printed lecture notes

1962: Theory of Transfinite Recursion. (Hebrew) PhD Thesis, Hebrew University of Jerusalem.
1964: Decision Procedure for Wellformedness in Lesniewski's Grammar. Published as Report #16 of Applied Logic Branch, HUJ, Israel, for US Office of Naval Research, Information Systems Branch, 15pp.
1967: Non-standard Analysis without Tears. Published as Report #27 of Applied Logic Branch, HUJ, Israel, for US Office of Naval Research, Information Systems Branch, 56pp.
1968: Projective Geometry. Israel Centre for Science Education, Jerusalem, Israel, 47pp.
1968: Axiomatic Arithmetic. Israel Centre for Science Education, Jerusalem, Israel, 30pp.
1969: Lectures on Non-Standard Analysis (with J. Hirschfeld). #94 in the series Lecture Notes in Mathematics, Springer, 79pp.
1993: Reflections on Probabilistic Voting, (with D. Felsenthal). Presented (19 March 1993) at meeting of Public Choice Society, New Orleans, LA, USA.
1994: The Power and Price of a Voter - A Note on the Shapley-Shubik and Banzhaf Indices (with D. Felsenthal). Discussion Paper DP 2/94 published July 1994 by LSE Centre for the Philosophy of the Natural and Social Sciences.
1996: Ternary Voting Games (with D. Felsenthal). Discussion Paper No. 98, Center For Rationality and Interactive Decision Making, The Hebrew University of Jerusalem, February 1996.
1997: Interview (19.11.97) for "Decision-making in the EU Council of Ministers", a radio documentary, broadcast 5.12.97 on the Radio of the Finnish Broadcasting Company.
2000: Enlargement of the EU and Weighted Voting in its Council of Ministers (with D. Felsenthal). VPP 01/00 Centre for Philosophy of Natural and Social Science, LSE, 3 + 60pp.
2001: The Treaty of Nice and Qualified Majority Voting (with D. Felsenthal). VPP 02/01 Centre for Philosophy of Natural and Social Science, LSE.
2001 A Nice Trap (Analysis of the articles in the Treaty of Nice dealing with the decision rule of the EU Council of Ministers). Published in Polarities (Newsletter of the Finnish Instute).
2004: "Population and votes in the Council of Ministers: Squaring the circle" (with D S Felsenthal), Issue Document No. 10, Challenge Europe 10. http://www.theepc.be

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