algèbre linéaire

Volume I presents the texts in new translations by the authors, and these are accompanied by a philosophical and historical commentary designed for use by all readers, including those with no background in the classical world. With its glossary and indexes, this volume can stand alone as an independent tool of study. Contents......Page 6 1 THE SCHOOLS......Page 15 2 THE SYSTEMS......Page 20 3 THE EVIDENCE......Page 22 1 Scepticism......Page 25 2 Tranquillity and virtue......Page 30 3 Timon's polemics......Page 34 4 The principles of conservation......Page 37 5 The basic division......Page 39 6 Proof of the existence of void......Page 43 7 Secondary attributes......Page 44 8 Atoms......Page 49 9 Minimal parts......Page 51 10 Infinity......Page 56 11 Atomic motion......Page 58 12 Microscopic and macroscopic properties......Page 64 13 Cosmology without teleology......Page 69 14 Soul......Page 77 15 Sensation, imagination, memory......Page 84 16 The truth of all impressions......Page 90 17 The criteria of truth......Page 99 18 Scientific methodology......Page 102 19 Language......Page 109 20 Free will......Page 114 21 Pleasure......Page 124 22 Society......Page 137 23 God......Page 151 24 Death......Page 161 25 Philosophy......Page 166 26 The philosophical curriculum......Page 170 27 Existence and subsistence......Page 174 28 The first and second genera......Page 178 29 The third and fourth genera......Page 188 30 Universals......Page 191 31 Dialectic and rhetoric......Page 195 32 Definition and division......Page 202 33 Sayables {lekta)......Page 207 34 Simple propositions......Page 214 35 Non-simple propositions......Page 220 36 Arguments......Page 224 37 Fallacy......Page 232 38 Modality......Page 242 39 Impressions......Page 246 40 The criteria of truth......Page 251 41 Knowledge and opinion......Page 263 42 Scientific methodology......Page 269 43 The scope of physics......Page 276 44 Principles......Page 278 45 Body......Page 282 46 God, fire, cosmic cycle......Page 284 47 Elements, breath, tenor, tension......Page 290 48 Mixture......Page 300 49 Place and void......Page 304 50 Continuum......Page 307 51 Time......Page 314 52 Everlasting recurrence......Page 318 53 Soul......Page 323 54 Theology......Page 333 55 Causation and fate......Page 343 56 The division of ethical topics......Page 354 57 Impulse and appropriateness......Page 356 58 Value and indifference......Page 364 59 Proper functions......Page 369 60 Good and bad......Page 378 61 Virtue and vice......Page 387 62 Moral responsibility......Page 396 63 The end and happiness......Page 404 64 The end: Academic criticism and Stoic defence......Page 411 65 The passions......Page 420 66 Ethics in action......Page 433 67 Political theory......Page 439 68 Methodology......Page 448 69 Living without opinions......Page 460 70 Contributions to philosophical debates......Page 470 71 Why to suspend judgement......Page 478 72 How to suspend judgement......Page 483 GLOSSARY......Page 499 INDEX OF SOURCES......Page 502 stobaeus......Page 509 INDEX OF PHILOSOPHERS......Page 511 INDEX OF TOPICS......Page 519 Contents 6 Introduction 15 1 THE SCHOOLS 15 2 THE SYSTEMS 20 3 THE EVIDENCE 22 Early Pyrrhonism 25 1 Scepticism 25 2 Tranquillity and virtue 30 3 Timon's polemics 34 Epicureanism 37 PHYSICS 37 4 The principles of conservation 37 5 The basic division 39 6 Proof of the existence of void 43 7 Secondary attributes 44 8 Atoms 49 9 Minimal parts 51 10 Infinity 56 11 Atomic motion 58 12 Microscopic and macroscopic properties 64 13 Cosmology without teleology 69 14 Soul 77 15 Sensation, imagination, memory 84 EPISTEMOLOGY 90 16 The truth of all impressions 90 17 The criteria of truth 99 18 Scientific methodology 102 19 Language 109 ETHICS 114 20 Free will 114 21 Pleasure 124 22 Society 137 23 God 151 24 Death 161 25 Philosophy 166 Stoicism 170 26 The philosophical curriculum 170 ONTOLOGY 174 27 Existence and subsistence 174 28 The first and second genera 178 29 The third and fourth genera 188 30 Universals 191 LOGIC AND SEMANTICS 195 31 Dialectic and rhetoric 195 32 Definition and division 202 33 Sayables {lekta) 207 34 Simple propositions 214 35 Non-simple propositions 220 36 Arguments 224 37 Fallacy 232 38 Modality 242 EPISTEMOLOGY: STOICS AND ACADEMICS 246 39 Impressions 246 40 The criteria of truth 251 41 Knowledge and opinion 263 42 Scientific methodology 269 PHYSICS 276 43 The scope of physics 276 44 Principles 278 45 Body 282 46 God, fire, cosmic cycle 284 47 Elements, breath, tenor, tension 290 48 Mixture 300 49 Place and void 304 50 Continuum 307 51 Time 314 52 Everlasting recurrence 318 53 Soul 323 54 Theology 333 55 Causation and fate 343 ETHICS 354 56 The division of ethical topics 354 57 Impulse and appropriateness 356 58 Value and indifference 364 59 Proper functions 369 60 Good and bad 378 61 Virtue and vice 387 62 Moral responsibility 396 63 The end and happiness 404 64 The end: Academic criticism and Stoic defence 411 65 The passions 420 66 Ethics in action 433 67 Political theory 439 The Academics 448 68 Methodology 448 69 Living without opinions 460 70 Contributions to philosophical debates 470 The Pyrrhonist revival 478 71 Why to suspend judgement 478 72 How to suspend judgement 483 Indexes 499 GLOSSARY 499 INDEX OF SOURCES 502 simplicilis. 509 stobaeus 509 INDEX OF PHILOSOPHERS 511 INDEX OF TOPICS 519 Volume 1 presents the texts in new translations by the authors, and these are accompanied by a philosophical and historical commentary designed for use by all readers, including those with no background in the classical world. With its glossary and indexes, this volume can stand alone as an independent tool of study. v. 1. Translations of the principal sources, with philosophical commentary v. 2. Greek and Latin texts with notes and bibliography.