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Bibliographic Details
Main Author:	Suppes, Patrick 1922-2014 (Author)
Format:	Book
Language:	English
Published:	Stanford, Calif. CSLI Publ. 2002
Subjects:	Wetenschapsfilosofie Naturwissenschaft Philosophie Wissenschaftstheorie Science > Philosophy
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010062782&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Physical Description:	XV, 536 S. graph. Darst.
ISBN:	1575863332

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Record in the Search Index

DE-BY-TUM_call_number	0041 WIS 330f 2012 B 586
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adam_text	REPRESENTATION AND INVARIANCE OF SCIENTIFIC STRUCTURES PATRICK SUPPES F~ C I I CENTER FOR THE STUDY OF TL^RF ^ I I LANGUAGE AND INFORMATION PUBLICATIONS STANFORD, CALIFORNIA CONTENTS PREFACE XIII 1 INTRODUCTION 1 1.1 GENERAL VIEWPOINT 1 1.2 WHAT IS A SCIENTIFIC THEORY? 2 THE TRADITIONAL SKETCH. 2 MODELS VERSUS EMPIRICAL INTERPRETATIONS OF THEORIES. 3 INTRINSIC-VERSUS-EXTRINSIC CHARACTERIZATION OF THEORIES. 5 COORDINATING DEFINITIONS AND THE HIERARCHY OF THEORIES. 7 INSTRUMENTAL VIEW OF THEORIES. 8 1.3 PLAN OF THE BOOK 10 1.4 HOW TO READ THIS BOOK 14 2 AXIOMATIC DEFINITION OF THEORIES 17 2.1 MEANING OF MODEL IN SCIENCE 17 COMMENTS ON QUOTATIONS. 20 2.2 THEORIES WITH STANDARD FORMALIZATION 24 EXAMPLE: ORDINAL MEASUREMENT. 25 AXIOMATICALLY BUILT THEORIES. 26 DIFFICULTIES OF SCIENTIFIC FORMALIZATION. 27 USEFUL EXAMPLE OF FORMALIZATION 28 2.3 THEORIES DENNED BY SET-THEORETICAL PREDICATES 30 EXAMPLE: THEORY OF GROUPS. 31 MEANING OF SET-THEORETICAL PREDICATE . 32 SET THEORY AND THE SCIENCES. 33 BASIC STRUCTURES. 33 RESERVATIONS ABOUT SET THEORY. 34 2.4 HISTORICAL PERSPECTIVE ON THE AXIOMATIC METHOD 35 BEFORE EUCLID. 35 VIII REPRESENTATION AND INVARIANCE OF SCIENTIFIC STRUCTURES EUCLID. 36 ARCHIMEDES. 37 EUCLID S OPTICS. 40 PTOLEMY S ALMAGEST. 41 JORDANUS DE NEMORE. 43 NEWTON. 44 MODERN GEOMETRY. 45 HILBERT AND PREGE. 47 PHYSICS. 48 3 THEORY OF ISOMORPHIC REPRESENTATION 51 3.1 KINDS OF REPRESENTATION 51 DEFINITIONS AS REPRESENTATIONS. 53 3.2 ISOMORPHISM OF MODELS 54 3.3 REPRESENTATION THEOREMS 57 HOMOMORPHISM OF MODELS. 58 EMBEDDING OF MODELS. 62 3.4 REPRESENTATION OF ELEMENTARY MEASUREMENT STRUCTURES 63 EXTENSIVE MEASUREMENT. 63 DIFFERENCE MEASUREMENT. 66 BISECTION MEASUREMENT. 67 CONJOINT MEASUREMENT. 69 PROOFS OF THEOREMS 2-4 70 3.5 MACHINE REPRESENTATION OF PARTIAL RECURSIVE FUNCTIONS 74 UNLIMITED REGISTER MACHINES (URM). 76 PARTIAL RECURSIVE FUNCTIONS OVER AN ARBITRARY FINITE ALPHABET. 80 3.6 PHILOSOPHICAL VIEWS OF MENTAL REPRESENTATIONS 81 ARISTOTLE. 81 DESCARTES. 83 HUME. 83 KANT. 86 JAMES. 88 SPECIAL CASE OF IMAGES. 92 PSYCHOLOGICAL VIEWS OF IMAGERY. 93 4 INVARIANCE 97 4.1 INVARIANCE, SYMMETRY AND MEANING 97 MEANING. 102 OBJECTIVE MEANING IN PHYSICS. 103 4.2 INVARIANCE OF QUALITATIVE VISUAL PERCEPTIONS 105 ORIENTED PHYSICAL SPACE. 106 CONTENTS 4.3 INVARIANCE IN THEORIES OF MEASUREMENT 110 SECOND FUNDAMENTAL PROBLEM OF MEASUREMENT: INVARIANCE THEOREM. 112 CLASSIFICATION OF SCALES OF MEASUREMENT. 114 4.4 WHY THE FUNDAMENTAL EQUATIONS OF PHYSICAL THEORIES ARE NOT INVARIANT 120 BEYOND SYMMETRY. 122 COVARIANTS. 122 4.5 ENTROPY AS A COMPLETE INVARIANT IN ERGODIC THEORY 123 ISOMORPHISM OF ERGODIC PROCESSES. 125 REPRESENTATIONS OF PROBABILITY 129 5.1 THE FORMAL THEORY 130 PRIMITIVE NOTIONS. 130 LANGUAGE OF EVENTS. 132 ALGEBRAS OF EVENTS. 133 AXIOMS OF PROBABILITY. 134 DISCRETE PROBABILITY DENSITIES. 136 CONDITIONAL PROBABILITY. 138 INDEPENDENCE. 144 RANDOM VARIABLES. 146 JOINT DISTRIBUTIONS. 153 MODAL ASPECTS OF PROBABILITY. 154 PROBABILISTIC INVARIANCE. 155 5.2 CLASSICAL DEFINITION OF PROBABILITY 157 LAPLACE. 159 CLASSICAL PARADOXES. 163 HISTORICAL NOTE ON LAPLACE S PRINCIPLES 3-10. 166 5.3 RELATIVE-FREQUENCY THEORY FOR INFINITE RANDOM SEQUENCES 167 VON MISES. 171 CHURCH. 173 5.4 RANDOM FINITE SEQUENCES 178 KOLMOGOROV COMPLEXITY. 179 * UNIVERSAL PROBABILITY. 182 RELATIVE FREQUENCIES AS ESTIMATES OF PROBABILITY. 183 5.5 LOGICAL THEORY OF PROBABILITY 184 KEYNES. 184 JEFFREYS. 185 CARNAP S CONFIRMATION THEORY. 190 HINTIKKA S TWO-PARAMETER THEORY. 198 KYBURG. 200 MODEL-THEORETIC APPROACH. 200 CHUAQUI. 200 REPRESENTATION AND INVARIANCE OF SCIENTIFIC STRUCTURES 5.6 PROPENSITY REPRESENTATIONS OF PROBABILITY 202 PROPENSITY TO DECAY. 203 DISCRETE QUALITATIVE DENSITIES. 210 PROPENSITY TO RESPOND. 211 PROPENSITY FOR HEADS. 214 PROPENSITY FOR RANDOMNESS IN MOTION OF THREE BODIES. 218 SOME FURTHER REMARKS ON PROPENSITY. 220 5.7 THEORY OF SUBJECTIVE PROBABILITY 225 DE FINETTI S QUALITATIVE AXIOMS. 226 GENERAL QUALITATIVE AXIOMS. 230 QUALITATIVE CONDITIONAL PROBABILITY. 234 HISTORICAL BACKGROUND ON QUALITATIVE AXIOMS. 238 DE FINETTI S REPRESENTATION THEOREM. 240 DEFENSE OF OBJECTIVE PRIORS. 241 GENERAL ISSUES. 242 DECISIONS AND THE MEASUREMENT OF SUBJECTIVE PROBABILITY. 245 INEXACT MEASUREMENT OF BELIEF: UPPER AND LOWER PROBABILITIES. 248 5.8 EPILOGUE: PRAGMATISM ABOUT PROBABILITY 256 EARLY STATISTICAL MECHANICS. 256 QUANTUM MECHANICS. 257 PRAGMATISM IN PHYSICS. 261 STATISTICAL PRACTICE. 262 REPRESENTATIONS OF SPACE AND TIME 265 6.1 GEOMETRIC PRELIMINARIES 266 6.2 CLASSICAL SPACE-TIME 269 HISTORICAL REMARKS. 272 6.3 AXIOMS FOR SPECIAL RELATIVITY 275 HISTORICAL REMARKS. 278 LATER QUALITATIVE AXIOMATIC APPROACHES. 281 6.4 HOW TO DECIDE IF VISUAL SPACE IS EUCLIDEAN 282 THE HIERARCHY OF GEOMETRIES. 287 6.5 THE NATURE OF VISUAL SPACE: EXPERIMENTAL AND PHILOSOPHICAL ANSWERS 288 6.6 PARTIAL AXIOMS FOR THE FOLEY AND WAGNER EXPERIMENTS 297 6.7 THREE CONCEPTUAL PROBLEMS ABOUT VISUAL SPACE 300 CONTEXTUAL GEOMETRY. 300 DISTANCE PERCEPTION AND MOTION. 301 OBJECTS OF VISUAL SPACE. 302 6.8 FINITISM IN GEOMETRY 303 QUANTIFIER-FREE AXIOMS AND CONSTRUCTIONS. 305 CONTENTS XI AFFINE AXIOMS. 306 THEOREMS. 308 ANALYTIC REPRESENTATION THEOREM. 309 ANALYTIC INVARIANCE THEOREM. 310 7 REPRESENTATIONS IN MECHANICS 313 7.1 CLASSICAL PARTICLE MECHANICS 313 ASSUMED MATHEMATICAL CONCEPTS. 313 SPACE-TIME STRUCTURE. 318 PRIMITIVE NOTIONS. 319 THE AXIOMS. 320 TWO THEOREMS*ONE ON DETERMINISM. 323 MOMENTUM AND ANGULAR MOMENTUM. 325 LAWS OF CONSERVATION. 327 7.2 REPRESENTATION THEOREMS FOR HIDDEN VARIABLES IN QUANTUM MECHANICS 332 FACTORIZATION. 333 LOCALITY. 335 GHZ-TYPE EXPERIMENTS. 338 SECOND-ORDER GAUSSIAN THEOREMS. 342 7.3 WEAK AND STRONG REVERSIBILITY OF CAUSAL PROCESSES 343 WEAK REVERSIBILITY. 344 STRONG REVERSIBILITY. 346 EHRENFEST MODEL. 348 DETERMINISTIC SYSTEMS. 349 8 REPRESENTATIONS OF LANGUAGE 353 8.1 HIERARCHY OF FORMAL LANGUAGES 354 TYPES OF GRAMMARS. 356 NORMAL FORMS. 357 OPERATIONS ON LANGUAGES. 359 UNSOLVABLE PROBLEMS. 360 NATURAL-LANGUAGE APPLICATIONS. 361 8.2 REPRESENTATION THEOREMS FOR GRAMMARS 361 FINITE AUTOMATA. 361 LANGUAGES ACCEPTED BY FINITE AUTOMATA. 364 REGULAR GRAMMARS AND FINITE AUTOMATA. 367 REMARK ON THE EMPTY SEQUENCE. 371 PUSHDOWN AUTOMATA AND CONTEXT-FREE LANGUAGES. 371 TURING MACHINES AND LINEAR BOUNDED AUTOMATA. 373 8.3 STIMULUS-RESPONSE REPRESENTATION OF FINITE AUTOMATA 374 STIMULUS-RESPONSE THEORY. 377 XII REPRESENTATION AND INVARIANCE OF SCIENTIFIC STRUCTURES REPRESENTATION OF FINITE AUTOMATA. 380 RESPONSE TO CRITICISMS. 387 ANOTHER MISCONCEPTION: RESTRICTION TO FINITE AUTOMATA. 394 AXIOMS FOR REGISTER LEARNING MODELS. 397 ROLE OF HIERARCHIES AND MORE DETERMINATE REINFORCEMENT. 401 8.4 REPRESENTATION OF LINEAR MODELS OF LEARNING BY STIMULUS-SAMPLING MODELS 403 MODIFICATION OF GENERAL AXIOMS. 404 PRELIMINARY THEOREMS. 405 THEOREMS INVOLVING THE SEQUENCE CJ N . 411 LIMIT ASSUMPTIONS. 414 8.5 ROBOTIC MACHINE LEARNING OF COMPREHENSION GRAMMARS FOR TEN LANGUAGES 419 PROBLEM OF DENOTATION. 420 BACKGROUND COGNITIVE AND PERCEPTUAL ASSUMPTIONS. 421 INTERNAL LANGUAGE. 424 GENERAL LEARNING AXIOMS. 425 SPECIALIZATION OF CERTAIN AXIOMS AND INITIAL CONDITIONS. 429 THE CORPORA. 432 EMPIRICAL RESULTS. 433 GRAMMATICAL RULES. 438 RELATED WORK AND UNSOLVED PROBLEMS. 441 8.6 LANGUAGE AND THE BRAIN. 442 SOME HISTORICAL BACKGROUND. 442 OBSERVING THE BRAIN S ACTIVITY. 444 METHODS OF DATA ANALYSIS. 446 THREE EXPERIMENTAL RESULTS. 450 CRITICISMS OF RESULTS AND RESPONSE. 453 COMPUTATION OF EXTREME STATISTICS. 456 ANALYSIS OF EARLIER STUDIES. 458 OTHER PAIRS IN THE FIRST EXPERIMENT WITH 48 SENTENCES. 461 TEST OF A TIMING HYPOTHESIS FOR THE EXPERIMENT WITH 100 SENTENCES. 461 CENSORING DATA IN THE VISUAL-IMAGE EXPERIMENT. 463 8.7 EPILOGUE: REPRESENTATION AND REDUCTION IN SCIENCE 465 SUMMARY TABLE OF REPRESENTATION AND INVARIANCE THEOREMS BY CHAPTER 471 REFERENCES 475 AUTHOR INDEX 503 INDEX 511
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spellingShingle	Suppes, Patrick 1922-2014 Representation and invariance of scientific structures Wetenschapsfilosofie gtt Naturwissenschaft Philosophie Wissenschaftstheorie Science Philosophy Wissenschaftstheorie (DE-588)4117665-0 gnd
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title	Representation and invariance of scientific structures
title_auth	Representation and invariance of scientific structures
title_exact_search	Representation and invariance of scientific structures
title_full	Representation and invariance of scientific structures Patrick Suppes
title_fullStr	Representation and invariance of scientific structures Patrick Suppes
title_full_unstemmed	Representation and invariance of scientific structures Patrick Suppes
title_short	Representation and invariance of scientific structures
title_sort	representation and invariance of scientific structures
topic	Wetenschapsfilosofie gtt Naturwissenschaft Philosophie Wissenschaftstheorie Science Philosophy Wissenschaftstheorie (DE-588)4117665-0 gnd
topic_facet	Wetenschapsfilosofie Naturwissenschaft Philosophie Wissenschaftstheorie Science Philosophy
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Call Number:	0041 WIS 330f 2012 B 586 Floor plan
Copy 1	On permanent loan Ausgeliehen – Due: 31.12.9999