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Logical foundations of applied mathematics. (English) Zbl 0317.02003

MSC:
03A05 Philosophical and critical aspects of logic and foundations
00A30 Philosophy of mathematics
62K05 Optimal statistical designs
60G99 Stochastic processes
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[1] Abel, R., ?Language and the Electrone?,Akten des XIV International Kongresses für Philosophie 3, Wien 1969, pp. 351-356.
[2] Arbib, M. A.,Brains, Machines, and Mathematics, McGraw Hill, New York, 1964. · Zbl 0174.02401
[3] Blekhman, I. I., Myshkis, A. D., and Panovko, Ya. G., ?Pravdopodobnost’ is dokazatel’nost’ v prikladnoi matematike? (Plausability and Demonstrativeness in Applied Mathematics),Mekhanika tverdogo tela 2 (1967), 197.
[4] Bourbaki, N.,L’Architecture des Mathématiques, Les grand courants de la pensée mathémátique (Cahiers du Sud), 1948, pp. 35-47.
[5] Bourbaki, N.,Les structures fondamentales de l’analyse, Livre II, Algèbre, Hermann & Cie, Editeurs, Paris, 1958. · Zbl 0098.02501
[6] Bourbaki, N.,ibid., Livre III, Topologie générale, Hermann & Cie, Editeurs, Paris, 1953. · Zbl 0050.38903
[7] Bourbaki, N.,Eléments d’histoire des mathematique, Hermann & Cie Editeurs, Paris, 1960, 276 p. · Zbl 0129.24508
[8] Box, G. E. P. and Jenkins, G. M.,Time Series Analysis, Forecasting and Control, Holand, San Franciso, 1970. · Zbl 0249.62009
[9] Gellner, E.,Words and Things, Victor Collancz Ltd., London, 1959.
[10] Ginsburg, S.,The Mathematical Theory of Context-Free Languages, New York, 1966. · Zbl 0184.28401
[11] Heyting, A.,Intuitionism, An Introduction, North Holland Publishing Company, Amsterdam, 1956. · Zbl 0070.00801
[12] Hutten, E. H.,The Language of Modern Physics, An Introduction to the Philosophy of Science, The Blackfriars Press, Ltd., Leicester, 1956.
[13] Ivanov, V. K., ?O nekorrektno postavlennykh zadachakh? (On Incorrectly Formulated Problems)Matematicheskii sbornik, novaya seriya, AN S.S.S.R. 61 (1963), 241.
[14] John, F., ?Numerical Solution of the Equation of Heat Condition for Preceding Times?,Annali Matematica Pura ed Applicata 15 (1955), ser. 4, 17. · Zbl 0066.10504
[15] Kendall, M. G., ?Statistical Inference in Light of the Theory of the Electronic Computer?,Review of the International Statistical Institute 34 (1966), 4. · Zbl 0146.40203 · doi:10.2307/1401529
[16] Kleene, S. C.,Introduction to Metamathematics, D. Van Nostrand Co., New York and Toronto, 1952. · Zbl 0047.00703
[17] Klein, F.,Elementary Mathematics from an Advanced Standpoint. Arithmetic, Algebra, Analysis. New York 1945.
[18] Kolmogorov, A. B., ?Teoriya veroyatnostei? (Probability Theory) Ch. XI in the collective monographMatematika, eyo soderzhanie, metody i znachenie (Mathematics: Its Contents, Methods and Significance), v. II, AN S.S.S.R., 1956.
[19] Legostayeva, I. L. and Shiryayev, A. N., ?Minimaxnye vesa v zadache vydeleniya trenda sluchainogo protsessa? (Minimax Weights in the Problems of Finding the Trend of the Stochastic Process),Theoriya veroyatnostei i eyo prilozheniya, 1971, 2.
[20] Meshalkin, L. D. and Nguen Din Hien, ?Stravnenie dvukh metodov optimizatsii? (Comparison of Two Methods of Optimization),Industrial Laboratory 32 (1966), 64.
[21] Nagel, E., and Newman, J. R.,Gödel’s Proof, New York University Press, New York, 1960, 118 p.
[22] Nalimov, V. V., ?Esche raz a sravnenii sluchainogo poiska s metodom gradienta v simpleks ? planirovanii? (One More Time on Comparing Random Search with a Gradient Method in Simplex-Designing),Industrial Laboratory 32 (1966), 854.
[23] Nalimov, V. V., ?Teoriya eksperimenta? (Theory of Experiment), Nauka, 1971.
[24] Nalimov, V. V. and Golikova, T. I.,Logical Foundations of Experimental Design, Metron, 1971 (in press). · Zbl 0273.62046
[25] Nalimov, V. V., Golikova, T. I., and Mikeshina, N. G., ?On Practical Use of the Concept of D-optimality?,Technometrics 12 (1970) 799. · doi:10.2307/1267326
[26] Nalimov, V. V. and Mul’chenko, Z. M., ?Naukometria? (Science-metrics), Nauka, 1969.
[27] Nalimov, V. V. and Mul’chenko, Z. M., ?K voprosu o logico-linguisticheskom analize yazyka nauki? (On Logico-linguistic Analysis of the Language of Science) InProblemy strukturnoi lingvistiki, 1971, Nauka, 1972, 534-554.
[28] O prepodavanii matematicheskoi statistiki eksperimentatoram (On Teaching Mathematical Statistics to Researchers), Preprint MGU, 17. 1971.
[29] Popper, K. R.,The Logic of Scientific Discovery, Hutchison, London, 1965. · Zbl 1256.03001
[30] Quastler, H.,The Emergence of Biological Organization, L., 1964.
[31] Rastrigin, L. A., ?O kriteriyakh sopostavleniya metodov poiska ekstremuma? (On the Criteria of Comparing Methods of Searching Extremum),Industrial Laboratory 32 (1966), 1248.
[32] Russell, B.,Human Knowledge, Its Scope and Limits, L. Allen & Unwin, 1956.
[33] Russell, B., and Whitehead, A. N.,Principia Mathematica, 3 volumes, Cambridge, 1910-1913.
[34] Scheglov, V. N., ?Poluchenie bulevoi modeli slozhnogo tekhnologicheskogo protsessa po tekushei informatsii? (Obtaining a Boolean Model on Current Information of a Complicated Technological Process),Industrial Laboratory 38 (1972), 56.
[35] Vavilov, S. I.,Glaz i solntse (The Eye the Sun) ? Iz datel’styo AN S.S.S.R., 1956.
[36] Weyl, H.,Philosophie der Mathematik und Naturwissenschaft, Oldenbourg, München-Berlin, 1927, 162 S. · JFM 52.0040.02
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