Causal models and space-time geometries. (English) Zbl 0274.50003
References:
| [1] | Alker, Jr., H. R., ?Causal Inference and Political Analysis?, in J. L. Bernd (ed.), Conference on Mathematical Applications in Political Science, Vol. 2, Arnold Foundation, Southern Methodist University, Dallas, Texas, 1966, pp. 7-43. |
| [2] | Alonso, J. L. and Yndurazin, F. J., ?On the Continuity of Causal Automorphisms of Space-Time?, Communications in Mathematical Physics 4 (1967), 349-351. · Zbl 0148.23602 · doi:10.1007/BF01653648 |
| [3] | Antoine, J.-P. and Gleit, A., ?Space-Time Structure and Measurement Theory?, International Journal of Theoretical Physics 4 (1971), 197-216. · doi:10.1007/BF00673798 |
| [4] | Baer, R., Linear Algebra and Projective Geometry, Academic Press, New York, 1952. · Zbl 0049.38103 |
| [5] | Barucchi, G. and Teppati, G., ?The Causality Group?, Nuovo Cimento 52A (1967), 50-61. |
| [6] | Basri, A. S., A Deductive Theory of Space and Time, North Holland, Amsterdam, 1966. · Zbl 0161.00208 |
| [7] | Blalock, Jr., H. M., Causal Inferences in Nonexperimental Research, University of North Carolina Press, Chapel Hill, 1964. |
| [8] | Blalock, Jr., H. M., Theory Construction, Prentice-Hall, Englewood Cliffs, New Jersey, 1969. |
| [9] | Bunge, M., ?Conjunction, Succession, Determination, and Causation?, International Journal of Theoretical Physics 1 (1968), 299-315. · doi:10.1007/BF00668670 |
| [10] | Burks, A. W., ?The Logic of Causal Propositions?, Mind 60 (1951), 363-382. · Zbl 0044.25104 · doi:10.1093/mind/LX.239.363 |
| [11] | Chellas, B. F., ?Basic Conditional Logic?, Dittoed manuscript, University of Pennsylvania, Philadelphia, 1970. |
| [12] | Cole, M., ?On Causal Dynamics Without Metrization?, International Journal of Theoretical Physics 1 (1968), 115-151. · Zbl 0207.54603 · doi:10.1007/BF00669897 |
| [13] | Csonka, P. L., ?Causality and Faster than Light Particles?, Nuclear Physics B21 (1970), 436-444. (a) |
| [14] | Csonka, P. L., ?Implications of Full Causality for Neutrino and Other Particle Production Rates?, The Physical Review D2 (1970), 1923-1925. (b) |
| [15] | Czerwinski, Z., ?On the Notion of Causality and Mill’s Canons?, Studia Logica 9 (1960), 37-62. · Zbl 0121.25203 · doi:10.1007/BF02120397 |
| [16] | Davidson, D., ?Actions, Reasons, and Causes?, The Journal of Philosophy 60 (1963), 685-700. · doi:10.2307/2023177 |
| [17] | Davidson, D., ?Causal Relations?, The Journal of Philosophy 64 (1967), 691-703. · doi:10.2307/2023853 |
| [18] | Domotor, Z., ?Probabilistic Relational Structures and Their Applications?, Technical Report No. 144, May 14, 1969, Stanford University, Institute for Mathematical Studies in the Social Sciences. |
| [19] | Fagot, A., ?Causal Versus Teleological Explanation of Behavior?, Unpublished Ph. D. dissertation, Stanford University, Stanford, 1971. |
| [20] | Falb, P. L. and Freedman, M. I., ?A Generalized Transform Theory for Causal Operators?, SIAM Journal on Control 7 (1969), 452-471. · Zbl 0185.21403 · doi:10.1137/0307033 |
| [21] | Finkelstein, D., ?Space-Time Code?, The Physical Review 184 (1969), 1261-1270. · Zbl 0182.59501 · doi:10.1103/PhysRev.184.1261 |
| [22] | Foures, Y. and Segal, I. E., ?Causality and Analyticity?, Transactions of the American Mathematical Society 78 (1955), 385-405. · Zbl 0064.36805 · doi:10.2307/1993070 |
| [23] | Fox, R., Kuper, C. G., and Lipson, S. G., ?Faster-Than-Light Group Velocities and Causality Violation?, Proceedings of the Royal Society, London A316 (1970), 515-524. |
| [24] | Gamba, A. and Luzzatto, G., ?Causality and Conformal Invariance?, Nuovo Cimento 33 (1964), 1732-1733. · doi:10.1007/BF02749690 |
| [25] | Gheorghe, C. and Mihul, E., ?Causal Groups of Space-Time?, Communications in Mathematical Physics 14 (1969), 165-170. · Zbl 0181.28301 · doi:10.1007/BF01645136 |
| [26] | Good, I. J., ?A Causal Calculus, I?, The British Journal for the Philosophy of Science 11 (1961), 305-318. · doi:10.1093/bjps/XI.44.305 |
| [27] | Good, I. J., ?A Causal Calculus, II?, The British Journal for the Philosophy of Science 12 (1962), 43-51. |
| [28] | Goodman, R., ?A Group-Theoretic Approach to Causal Systems?, in J. Fox (ed), Proceedings of the Symposium on System Theory, Vol. 15, Polytechnic Press, Brooklyn, New York, 1965, pp. 169-174. |
| [29] | Hansson, B., ?Choice Structures and Preference Relations?, Synthese 18 (1968), 443-458. · Zbl 0165.30702 · doi:10.1007/BF00484979 |
| [30] | Hawking, S. W., ?The Occurrence of Singularities in Cosmology, III. Causality and Singularities?, Proceedings of the Royal Society A300 (1967) 187-201. · Zbl 0163.23903 |
| [31] | Ingraham, R. L., ?Stochastic Space-Time?, Nuovo Cimento 34 (1964), 182-197. · Zbl 0142.24008 · doi:10.1007/BF02725878 |
| [32] | Israel, W., ?Causal Anomalies in the Extended Schwarzschild Manifold?, Physics Letters 21 (1966), 47-49. · doi:10.1016/0031-9163(66)91336-9 |
| [33] | Kalman, R. E., ?Algebraic Theory of Linear Systems?, in M. E. Van Valkenburg (ed.), Proceedings Third Annual Allerton Conference on Circuit and System Theory, Dept. of Electrical Engineering, Urbana, Ill., 1965, pp. 563-577. · Zbl 0144.11604 |
| [34] | Kaplan, A., ?Non-Causal Explanation?, in D. Lerner (ed.), Cause and Effect, Free Press, New York, 1965, pp. 145-155. |
| [35] | Kotelnikov, A. P., ?Principles of Relativity and Lobatchevskian Geometry?, In Memoriam Lobatchevski, Vol. 2, University Press, Kazan, Soviet Union, 1927, pp. 37-66. |
| [36] | Kronheimer, E. H. and Penrose, R., ?On the Structure of Causal Space?, Proceedings of the Cambridge Philosophical Society 63 (1967), 481-501. · Zbl 0148.46502 · doi:10.1017/S030500410004144X |
| [37] | Maeda, F., ?Lattice-Theoretic Characterization of Abstract Geometries?, Journal of Science of Hiroshima University, Ser A 15 (1951), 87-96. · Zbl 0045.41702 |
| [38] | Mehlberg, H., ?The Problem of Causality in an Indeterministic Science, International Journal of Theoretical Physics 2 (1969), 351-372. · doi:10.1007/BF00670702 |
| [39] | Minerbo, G., ?Causality and Analyticity in Formal Scattering Theory?, The Physical Review D3 (1971), 928-932. |
| [40] | Nagel, E., ?Types of Causal Explanation in Science?, in D. Lerner (ed.), Cause and Effect, Free Press, New York, 1965, pp. 11-32. |
| [41] | Nevanlinna, R., Space-Time and Relativity, Addison-Wesley, London, 1968. |
| [42] | Noll, W., ?Euclidean Geometry and Minkowskian Chronometry?, The American Mathematical Monthly 71 (1964), 129-144. · Zbl 0118.22401 · doi:10.2307/2311741 |
| [43] | Pearson, II, A. T., ?Causal Statements and Correlation?, Ph. D. Thesis, Cornell University, 1971. |
| [44] | Peres, A., ?Bogolubov Causality in S-Matrix Theory?, Nuclear Physics 323 (1970), 125-154. · Zbl 0197.26301 |
| [45] | Porter, W. A. and Zahn, C. L., ?Basic Concepts in System Theory?, Technical Report No. 44, 1969, The University of Michigan, Department of Electrical Engineering. |
| [46] | Robb, A. A., The Absolute Relations of Space and Time, University Press, Cambridge, 1921. · JFM 48.1064.11 |
| [47] | Robb, A. A., A Theory of Time and Space, University Press, Cambridge, 1914, Second ed., 1936. |
| [48] | Saeks, R., ?Causality in Hilbert Space?, Memorandum EE-6814C, 1969, University of Notre Dame, Electrical Engineering Department. |
| [49] | Sandberg, I. W., ?Conditions for the Causality of Nonlinear Operators Defined on a Function Space?, Quarterly of Applied Mathematics 23, (1965), 87-91. · Zbl 0135.36801 |
| [50] | Segal, I. E., ?Direct Formulation of Causality Requirements on the S-operator?, The Physical Review 109 (1958), 2191-2198. · Zbl 0083.43702 · doi:10.1103/PhysRev.109.2191 |
| [51] | Simon, H. A., ?Causal Ordering and Identifiability, in W. C. Hood and T. C. Koopmans (eds.), Studies in Econometric Method, Wiley, New York, 1953, pp. 49-74. · Zbl 0053.28002 |
| [52] | Simon, H. A., ?Spurious Correlation: A Causal Interpretation?, Journal of American Statistical Association 49 (1954), 467-492. · Zbl 0057.11501 · doi:10.2307/2281124 |
| [53] | Simon, H. A. and Rescher, N., ?Cause and Counterfactual?, Philosophy of Science 33 (1966), 323-340. · doi:10.1086/288105 |
| [54] | Slavnov, D. A., ?Causality and Locality Conditions?, Soviet Journal of Nuclear Physics 9 (1969), 511-514. |
| [55] | Stalnaker, R. C. and Thomason, R. H., ?A Semantic Analysis of Conditional Logic?, Theoria 36, (1970), 23-42. · Zbl 0211.30601 · doi:10.1111/j.1755-2567.1970.tb00408.x |
| [56] | Strauch, R. D., ?The Fallacy of Causal Analysis?, Technical Report No. P-4618, April 1971, The Rand Corporation, Santa Monica, California. |
| [57] | Strotz, R. H. and Wold, H., ?Recursive vs. Nonrecursive Systems: An Attempt of Synthesis?, Econometrica 28 (1960), 417-427. · doi:10.2307/1907731 |
| [58] | Suppes, P., ?Axioms for Relativistic Kinematics With or Without Parity?, in L. Henkin, P. Suppes and A. Tarski (eds.), The Axiomatic Method, with Special Reference to Geometry and Physics, North Holland, Amsterdam, 1959, pp. 291-307. |
| [59] | Suppes, P., A Probabilistic Theory of Causality (Acta Phil. Fennica), North-Holland Publishing Company, Amsterdam, 1970. · Zbl 0232.68029 |
| [60] | Teppati, G., ?An Algebraic Analogue of Zeeman’s Theorem?, Nuovo Cimento 54A (1968), 800-804. · Zbl 0164.29602 |
| [61] | Watanabe, S., Knowing and Guessing, Wiley, New York, 1970. |
| [62] | Windeknecht, T. G., ?Mathematical Systems Theory ? Causality?, Mathematical Systems Theory 1 (1967), 279-288. · Zbl 0189.45702 · doi:10.1007/BF01695163 |
| [63] | Witsenhausen, H. S., ?On Information Structures, Feedback and Causality?, SIAM Journal on Control 9 (1971), 149-160. · Zbl 0236.93040 · doi:10.1137/0309013 |
| [64] | Wold, H., ?Causal Inference from Observational Data. A Review of Ends and Means?, Journal of the Royal Statistical Society A119 (1956), 28-61. |
| [65] | Wold, H., ?A Case Study of Interdependent Versus Causal Chain Systems?, Review of the International Statistical Institute 26 (1958), 5-25. · Zbl 0088.13006 · doi:10.2307/1401568 |
| [66] | Wold, H., ?A Generalization of Causal Chain Systems?, Econometrica 28 (1960), 443-463. · doi:10.2307/1907733 |
| [67] | Zeeman, E. C., ?Causality Implies the Lorentz Group?, Journal of Mathematical Physics 5 (1964), 490-493. · Zbl 0133.23205 · doi:10.1063/1.1704140 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
