Representation and invariance of scientific structures:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Stanford, Calif.
CSLI Publ.
2002
|
| Schlagwörter: | |
| 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 |
| Umfang: | XV, 536 S. graph. Darst. |
| ISBN: | 1575863332 |
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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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| illustrated | Illustrated |
| indexdate | 2024-12-20T11:09:19Z |
| institution | BVB |
| isbn | 1575863332 |
| language | English |
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| oclc_num | 46937733 |
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| owner_facet | DE-12 DE-355 DE-BY-UBR DE-29T DE-19 DE-BY-UBM DE-91 DE-BY-TUM |
| physical | XV, 536 S. graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
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| publisher | CSLI Publ. |
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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 |
| subject_GND | (DE-588)4117665-0 |
| 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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