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• W1985154263 abstract "Geographical AnalysisVolume 4, Issue 4 p. 337-349 Free Access Inexactness, Fuzzy Sets, and the Foundations of Behavioral Geography* Stephen Gale, Stephen Gale Stephen Gale is assistant professor of geography at Northwestern University, Evanston, IllinoisSearch for more papers by this author Stephen Gale, Stephen Gale Stephen Gale is assistant professor of geography at Northwestern University, Evanston, IllinoisSearch for more papers by this author First published: October 1972 https://doi.org/10.1111/j.1538-4632.1972.tb00480.xCitations: 51 * The support of the Social Science Research Council, Research Training Fellowship, and the National Institutes of Health (Grant Number 1 R03 MH20403-01) is gratefully acknowledged. I would also like to thank Gunnar Olsson for several very helpful comments on an earlier draft of this paper. AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinkedInRedditWechat LITERATURE CITED 1 Bellman, R. E. and L. A. Zadeh. Decision Making in a Fuzzy Environment,” NASA Contractor Report, NASA CR-1594 (May 1970). 2 Berry, B. J. L. A Synthesis of Formal and Functional Regions Using a General Field Theory of Spatial Behavior,” in B. J. L. Berry and D. F. Marble, Spatial Analysis. Englewood Cliffs: Prentice Hall, 1968. Pp. 419– 28. 3 Birkhoff, G. and J. Von Neumann The Logic of Quantum Mechanics,” Annals of Mathematics, 37 (1936), 823– 43. 4 Blumen, I., M. Kogan, and P. J. McCarthy. The Industrial Mobility of Labor as a Probability Process. Ithaca: New York State School of Industrial and Labor Relations, Cornell University, 1955. 5 Grigg, D. Regions, Models and Classes,” in R. J. Chorley and P. Haggett (eds.). Models in Geography. London: Methuen, 1967. Pp. 461– 509. 6 Bunge, M. Phenomenological Theories,” in M. Bunge (ed.), The Critical Approach to Science and Philosophy. New York: Free Press of Glencoe, 1964. Pp. 234– 54. 7 Church, A. Introduction to Mathematical Logic, Vol. I. Princeton: Princeton University Press, 1956. 8 Finkelstein, D. Matter, Space and Logic,” in R. S. Cohen and M. Wartofsky (eds.), Boston Studies in the Philosophy of Science, Vol. V. Dordrecht: D. Reidel, 1969, Pp. 199– 215. 9 Fisher, F. M. On the Analysis of History and the Interdependence of the Social Sciences,” Philosophy of Science, 27 (1960), 147– 158. 10 Gale, S. Explanation Theory and Models of Migration,” paper presented to the Third Conference on the Mathematics of Population, Chicago, Illinois (July 1970). 11 Gale, S. Evolutionary Laws in the Social Sciences,” paper presented at the Fourth Congress on Logic, Methodology, and Philosophy of Science, Bucharest, Romania (August 1971). 12 Gale, S. Remarks on the Foundation of Locational Decision-Making,” Antipode. 4 (1972), 41– 79. 13 Georgescu-Roegen, N. Introduction: Some Orientation Issues in Economics,” in N. Georgescu-Roegen (ed.), Analytical Economics. Cambridge: Harvard University Press, 1966. Pp. 3– 129. 14 Georgescu-Roegen, N. The Entropy Law and the Economic Process. Cambridge, Mass. Harvard LTniversity Press, 1971. 15 Goguen, J. L-Fuzzy Sets,” Journal of Mathematical Analysis and Its Applications. 18 (1967), 145– 75. 16 Goguen, J. The Logic of Inexact Concepts,” Synthese, 19 (1969), 325– 73. 17 Good, I. J. The Estimation of Probabilities: An Essay on Modern Bayesian Methods. Cambridge, Mass: M.I.T. Press, 1965. 18 Goodman, L. A. How to Ransack Social Mobility Tables and Other Kinds of Cross Classification Tables,” American Journal of Sociology, 75 (1969), 1– 40. 19 Hallberg, M. C. Projecting the Size Distribution of Agricultural Firms—An Application of a Markov Process with Non-Stationary Transition Probabilities,” American Journal of Agricultural Economics, 51 (1969), 289– 302. 20 Hallden, S. On the Logic of ‘Better,’ Library of Theoria, No. 2 (1957). 21 Harvey, D. Explanation in Geography. London: Edward Arnold, (1969). 22 Heelan, P. Quantum and Classical Logic: Their Respective Roles,” Synthese, 21 (1970), 2– 33. 23 Hilpinen, R. Rules of Acceptance and Inductive Logic,” Acta Philosophica Fennica, Fasc. XXII (1968). 24 Hilpinen, R. and J. Hintikka. Rules of Acceptance, Indices of Lawlikeness, and Singular Inductive Inference: Reply to a Critical Discussion,” Philosophy of Science, 38 (1971), 303– 307. 25 Jeffrey, R. C. The Logic of Decision. New York: John Wiley, 1965. 26 Kaplan, A. The Conduct of Inquiry. San Francisco: Holden Day, 1964. 27 Kendall, M. G. Natural Law in the Social Sciences,” Journal of the Royal Statistical Society, 124, Series A (1961), 1– 16. 28 Kleene, S. C. Introduction to Metamathematics. Amsterdam, 1952. 29 Korner, S. Experience and Theory. New York: Humanities Press, 1966. 30 Korner, S. What is Philosophy? London: Penguin Press, 1969. 31 Kotelly, J. C. Context Logic I: Fundamental Concepts, Notations, and Derived Notions,” Notre Dame Journal of Formal Logic, 11 (1970), 431– 46. 32 Land, K. C. Duration of Residence and Prospective Migration: Further Evidence,” Demography, 6 (1969), 133– 40. 33 Lee, T. C., G. G. Judge and A. Zellner. Maximum Likelihood and Bayesian Estimation of Transition Probabilities,” Journal of the American Statistical Association, 63 (1968), 1162– 79. 34 Lukasiewicz, J. Philosophical Remarks on Many-valued Systems of Propositional Logic,” in S. McCall (ed.), Polish Logic, 1920–1939. Oxford: Clarendon Press, 1967. Pp. 40– 65. 35 McFarland, D. D. Intra-generational Social Mobility as a Markov Process: Including a Time-Stationary Model That Explains Observed Declines in Mobility Rates over Time,” American Sociological Review, 35 (1970), 463– 76. 36 Michalos, A. D. Hilpinen's Rules of Acceptance and Inductive Logic,” Philosophy of Science, 38 (1971), 293– 302. 37 Mitroff, I. I., F. Betz and R. O. Mason. A Mathematical Model of Churchmanian Inquiring Systems with Special Reference to Popper's Measures for ‘The Severity of Tests,’ Theory and Decision, 1 (1970), 155– 78. 38 Morrison, P. A. Duration of Residence and Prospective Migration: The Evaluation of a Stochastic Model,” Demography, 4 (1967), 553– 61. 39 Olsson, G. Logics and Social Engineering,” Geographical Analysis, 2 (1970), 361– 75. 40 Olsson, G. and S. Gale. Spatial Theory and Human Behavior,” Papers of the Regional Science Association, 21 (1968), 229– 42. 41 Prais, S. J. Measuring Social Mobility,” Journal of the Royal Statistical Society. 118, Series A (1955), 55– 66. 42 Putnam, H. Is Logic Empirical?” in R. S. Cohen and M. Wartofsky (eds.), Boston Studies in the Philosophy of Science, Vol V. Dordrecht: D. Reidel, 1969. Pp. 216– 52. 43 Reichenbach, H. Philosophical Foundations of Quantum Mechanics. Berkeley: University of California Press, 1944. 44 Rescher, N. Topics in Philosophical Logic. Dordrecht: D. Reidel, 1968. 45 Rescher, N. Many-Valued Logic. New York: McGraw-Hill, 1969. 46 Ruspini, E. H. A New Approach to Clustering,” Information and Control, 15 (1969), 22– 32. 47 Scriven, M. Study of Radical Behaviorism,” in H. Feigl and M. Scriven (eds.), Minnesota Studies in the Philosophy of Science, Vol. I. Minneapolis: University of Minnestota Press, 1956, 38– 130. 48 Spilerman, S. The Analysis of Mobility by the Introduction of Independent Variables into a Markov Chain,” discussion paper, Institute for Research on Poverty, University of Wisconsin (Madison, 1970). 49 Spilerman, S. Extensions of the Mover-Stayer Model,” paper presented at the Third Conference on the Mathematics of Population, University of Chicago (Chicago, 1970). 50 Suppes, P. Probability Concepts in Quantum Mechanics,” Philosophy of Science, 28 (1961), 378– 89. 51 Suppes, P. Models of Data,” in E. Nagel, P. Suppes, and A. Tarski (eds.), Logic, Methodology and Philosophy of Science: Proceedings of the 1960 International Congress. Stanford: Stanford University Press, 1962. Pp. 252– 61. 52 Suppes, P. Logics Appropriate to Empirical Theories,” in J. W. Addison, L. Henkin and A. Tarski (eds.), The Theory of Models. Amsterdam: North Holland, 1965. Pp. 364– 75. 53 Suppes, P. The Probabilistic Argument for a Non-Classical Logic of Quantum Mechanics,” Philosophy of Science, 33 (1966), 14– 21. 54 Suppes, P. Some Formal Methods of Grading Principles,” Synthese, 16 (1966), 284– 306. 55 Suppes, P. Behaviorism,” in P. Suppes (ed.), Studies in Methodology and Foundations of Science. Dordrecht: D. Reidel, 1969. Pp. 294– 311. 56 Watanabe, S. Modified Concepts of Logic, Probability, and Information Based on Generalized Continuous Characteristic Functions,” Information and Control, 15 (1969), 1– 21. 57 Whitehead, A. N. Process and Reality. New York: Harper Torchbook, 1960. 58 Von Wright, G. H. An Essay in Deontic Logic and the General Theory of Action,” Acta Philosophica Fennica, Fasc. XXI, 1968. 59 Von Wright, G. H. Explanation and Understanding. Ithaca, N.Y.: Cornell University Press, 1971. 60 Zadeh, L. A. Fuzzy Sets,” Information and Control, 8 (1965), 338– 53. 61 Zadeh, L. A. Probability Measures of Fuzzy Events,” Journal of Mathematical Analysis and Applications, 23 (1968), 421– 27. Citing Literature Volume4, Issue4October 1972Pages 337-349 ReferencesRelatedInformation" @default.
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