LEADER 05129oam 2200781I 450 001 9911088290403321 005 20251116204710.0 010 $a1-138-87116-8 010 $a1-315-83001-9 010 $a1-317-85159-5 010 $a1-317-85160-9 010 $a9781315830018 024 7 $a10.4324/9781315830018 035 $a(CKB)2550000001250934 035 $a(EBL)1656273 035 $a(SSID)ssj0001216120 035 $a(PQKBManifestationID)11697433 035 $a(PQKBTitleCode)TC0001216120 035 $a(PQKBWorkID)11190836 035 $a(PQKB)10492289 035 $a(MiAaPQ)EBC1656273 035 $a(Au-PeEL)EBL1656273 035 $a(CaPaEBR)ebr10851412 035 $a(CaONFJC)MIL585931 035 $a(OCoLC)875096786 035 $a(OCoLC)878144340 035 $a(OCoLC)1228572347 035 $a(FINmELB)ELB138302 035 $a(FlBoTFG)9781315830018 035 $a(EXLCZ)992550000001250934 100 $a20180331h20131970 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aHypothesis and perception $ethe roots of scientific method /$fErrol E. Harris 205 $a1st ed. 210 1$aLondon ;$aNew York :$cRoutledge,$d1970, 2013. 215 $a1 online resource (400 p.) 225 1 $aMuirhead Library of Philosophy ;$vVolumes 17 300 $aDescription based upon print version of record. 311 08$a0-415-29615-3 311 08$a1-306-54680-X 320 $aIncludes bibliographical references and index. 327 $aCover; Half Title; Title Page; Copyright Page; Original Title Page; Original Copyright Page; PREFACE; Table of Contents; PART ONE: CRITICAL; I. PREVALENT VIEWS OF SCIENCE; i. The popular view; ii. Philosophical views; II. INDUCTION; i. Disclaimer of necessity for justification; ii. Induction and probability; iii. The pragmatic justification of induction; iv. Instrumentalism; v. New puzzles for old; vi. The unreasonableness of induction; III. THE EMPIRICIST TREATMENT OF DEDUCTION AND NECESSITY; i. Conventionalism; ii. Deduction and explanation; iii. Counterfactual conditionals; iv. Conclusion 327 $aIV. EMPIRICIST REFORMERSi. Dilution of empiricism; ii. Kneale on necessity, perception and consilience; iii. Popper on falsification; (a) Basic statements; (b) Hypothetico-deductive method; PART TWO: HISTORICAL; V. NON-EMPIRICAL ASPECTS OF SCIENTIFIC PROCEDURE; i. The Copernican revolution; (a) Copernicus; (b) Tycho Brahe; (c) Kepler; (d) Galileo; (e) Newton; ii. Dalton and chemical combination; iii. The conservation of mass and energy; iv. Relativity; VI. 'DEDUCTION FROM PHENOMENA'-CASE HISTORIES; i. Kepler's determination of the orbit of Mars 327 $aii. Harvey's discovery of the circulation of the bloodiii. Newton's experiments; iv. Lavoisier and combustion; v. Darwin's defence of the evolution hypothesis; vi. The discovery of the positron; vii. Findings; VII. SCIENTIFIC ADVANCE; i. Conceptual systems; ii. Recognition of observed data; iii. Articulation and proliferation of schemata; iv. The origins of change; v. The transition process; vi. Innovation and conservatism; vii. System and development; PART THREE: EPISTEMOLOGICAL; VIII. PERCEPTION; i. The epistemological crux; ii. Common views of perception; iii. Sense-data 327 $aiv. Critique and merits of sense-data theoriesv. Achievement; vi. Discrepancy between 'data' and percept; vii. Schemata; viii. Context; ix. Innate and acquired schemata; x. Influence of past experience; xi. Interpretation; xii. Degrees of organization; xiii. Perception and science; IX. QUESTION AND ANSWER; i. Science and common sense; ii. Question and presupposition; iii. The origins of hypotheses; iv. Analogy and enumeration; v. Abduction; vi. Confirmation; vii. Note: What is meant by 'discovery'?; X. THE LOGIC OF CONSTRUCTION; i. The concept of structure; ii. Formalism, logic and psychology 327 $aiii. Systematic thinkingiv. Necessity and causality; v. Probability; vi. Induction and deduction; vii. Science as a system; XI. THE DIALECTIC OF PROGRESS; i. Comprehensiveness and consistency as marks of adequacy; ii. Objections and criticisms; iii. Science as a scale; iv. Dialectic; v. The unity of science; vi. Hierarchy; vii. Agreement of results; XII. SCIENCE AND TRUTH; i. Objectivity; ii. Science and reality; iii. Criticism and defence; iv. Knowledge and its object; v. Validity and progress; vi. Science and metaphysics; vii. Science and religion; INDEX 330 $aFirst published in 2002. Routledge is an imprint of Taylor & Francis, an informa company. 410 0$aMuirhead library of philosophy ;$vVolumes 17. 606 $aScience$xMethodology 606 $aHypothesis 606 $aPerception 615 0$aScience$xMethodology. 615 0$aHypothesis. 615 0$aPerception. 676 $a501 676 $a001.42 700 $aHarris$b Errol E.$0260121 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911088290403321 996 $aHypothesis and perception$94744744 997 $aUNINA LEADER 06004nam 22005655 450 001 9911150568203321 005 20260415134036.0 010 $a1-4612-0817-3 024 7 $a10.1007/978-1-4612-0817-4 035 $a(CKB)3400000000089283 035 $a(SSID)ssj0001296807 035 $a(PQKBManifestationID)11763966 035 $a(PQKBTitleCode)TC0001296807 035 $a(PQKBWorkID)11373577 035 $a(PQKB)10171688 035 $a(DE-He213)978-1-4612-0817-4 035 $a(MiAaPQ)EBC3073894 035 $a(PPN)238026639 035 $a(EXLCZ)993400000000089283 100 $a20121227d1995 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aFunctions of One Complex Variable II /$fby John B. Conway 205 $a1st ed. 1995. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d1995. 215 $a1 online resource (XVI, 396 p.) 225 1 $aGraduate Texts in Mathematics,$x2197-5612 ;$v159 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a0-387-94460-5 311 08$a1-4612-6911-3 320 $aIncludes bibliographical references and index. 327 $aof Volume II -- 13 Return to Basics -- 1 Regions and Curves -- 2 Derivatives and Other Recollections -- 3 Harmonic Conjugates and Primitives -- 4 Analytic Arcs and the Reflection Principle -- 5 Boundary Values for Bounded Analytic Functions -- 14 Conformal Equivalence for Simply Connected Regions -- 1 Elementary Properties and Examples -- 2 Crosscuts -- 3 Prime Ends -- 4 Impressions of a Prime End -- 5 Boundary Values of Riemann Maps -- 6 The Area Theorem -- 7 Disk Mappings: The Class S -- 15 Conformal Equivalence for Finitely Connected Regions -- 1 Analysis on a Finitely Connected Region -- 2 Conformal Equivalence with an Analytic Jordan Region -- 3 Boundary Values for a Conformal Equivalence Between Finitely Connected Jordan Regions -- 4 Convergence of Univalent Functions -- 5 Conformal Equivalence with a Circularly Slit Annulus -- 6 Conformal Equivalence with a Circularly Slit Disk -- 7 Conformal Equivalence with a Circular Region -- 16 Analytic Covering Maps -- 1 Results for Abstract Covering Spaces -- 2 Analytic Covering Spaces -- 3 The Modular Function -- 4 Applications of the Modular Function -- 5 The Existence of the Universal Analytic Covering Map -- 17 De Branges?s Proof of the Bieberbach Conjecture -- 1 Subordination -- 2 Loewner Chains -- 3 Loewner?s Differential Equation -- 4 The Milin Conjecture -- 5 Some Special Functions -- 6 The Proof of de Branges?s Theorem -- 18 Some Fundamental Concepts from Analysis -- 1 Bergman Spaces of Analytic and Harmonic Functions -- 2 Partitions of Unity -- 3 Convolution in Euclidean Space -- 4 Distributions -- 5 The Cauchy Transform -- 6 An Application: Rational Approximation -- 7 Fourier Series and Cesàro Sums -- 19 Harmonic Functions Redux -- 1 Harmonic Functions on the Disk -- 2 Fatou?s Theorem -- 3 Semicontinuous Functions -- 4 Subharmonic Functions -- 5 The Logarithmic Potential -- 6 An Application: Approximation by Harmonic Functions -- 7 The Dirichlet Problem -- 8 Harmonic Majorants -- 9 The Green Function -- 10 Regular Points for the Dirichlet Problem -- 11 The Dirichlet Principle and Sobolev Spaces -- 20 Hardy Spaces on the Disk -- 1 Definitions and Elementary Properties -- 2 The Nevanlinna Class -- 3 Factorization of Functions in the Nevanlinna Class -- 4 The Disk Algebra -- 5 The Invariant Subspaces of Hp -- 6 Szegö?s Theorem -- 21 Potential Theory in the Plane -- 1 Harmonic Measure -- 2 The Sweep of a Measure -- 3 The Robin Constant -- 4 The Green Potential -- 5 Polar Sets -- 6 More on Regular Points -- 7 Logarithmic Capacity: Part 1 -- 8 Some Applications and Examples of Logarithmic Capacity -- 9 Removable Singularities for Functions in the Bergman Space -- 10 Logarithmic Capacity: Part 2 -- 11 The Transfinite Diameter and Logarithmic Capacity -- 12 The Refinement of a Subharmonic Function -- 13 The Fine Topology -- 14 Wiener?s criterion for Regular Points -- References -- List of Symbols. 330 $aThis is the sequel to my book Functions of One Complex Variable I, and probably a good opportunity to express my appreciation to the mathemat­ ical community for its reception of that work. In retrospect, writing that book was a crazy venture. As a graduate student I had had one of the worst learning experiences of my career when I took complex analysis; a truly bad teacher. As a non-tenured assistant professor, the department allowed me to teach the graduate course in complex analysis. They thought I knew the material; I wanted to learn it. I adopted a standard text and shortly after beginning to prepare my lectures I became dissatisfied. All the books in print had virtues; but I was educated as a modern analyst, not a classical one, and they failed to satisfy me. This set a pattern for me in learning new mathematics after I had become a mathematician. Some topics I found satisfactorily treated in some sources; some I read in many books and then recast in my own style. There is also the matter of philosophy and point of view. Going from a certain mathematical vantage point to another is thought by many as being independent of the path; certainly true if your only objective is getting there. But getting there is often half the fun and often there is twice the value in the journey if the path is properly chosen. 410 0$aGraduate Texts in Mathematics,$x2197-5612 ;$v159 606 $aPotential theory (Mathematics) 606 $aPotential Theory.L 615 0$aPotential theory (Mathematics) 615 14$aPotential Theory.L 676 $a515.96 700 $aConway$b John B$4aut$4http://id.loc.gov/vocabulary/relators/aut$041656 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911150568203321 996 $aFunctions of one complex variable II$979416 997 $aUNINA