03954nam 2200601Ia 450 991045258030332120200520144314.01-283-58207-497866138945260-19-156421-4(CKB)2550000000105367(EBL)975672(OCoLC)801363557(SSID)ssj0000690085(PQKBManifestationID)11448046(PQKBTitleCode)TC0000690085(PQKBWorkID)10620013(PQKB)10750518(MiAaPQ)EBC975672(Au-PeEL)EBL975672(CaPaEBR)ebr10581337(CaONFJC)MIL389452(EXLCZ)99255000000010536720060612d2006 uy 0engur|n|---|||||txtccrHow we reason[electronic resource] /Philip N. Johnson-LairdOxford ;New York Oxford University Press20061 online resource (584 p.)Description based upon print version of record.0-19-856976-9 Includes bibliographical references (p. [497]-544) and indexes.Contents; 1 Introduction; Part I: The World in Our Conscious Minds; 2 Icons and Images; 3 Models of Possibilities: From Conjuring Tricks to Disasters; Part II: The World in Our Unconscious Minds; 4 Mental Architecture and the Unconscious; 5 Intuitions and Unconscious Reasoning; 6 Emotions as Inferences; 7 Reasoning in Psychological Illnesses; Part III: How We Make Deductions; 8 Only Connections; 9 I'm my own Grandpa: Reasoning About Identities and Other Relations; 10 Syllogisms and Reasoning about Properties; 11 Isn't Everyone an Optimist? The Case of Complex ReasoningPart IV: How We Make Inductions12 Modulation: A Step Towards Induction; 13 Knowledge and Inductions; 14 Sherlock Holmes's Method: Abduction; 15 The Balance of Probabilities; Part V: What Makes us Rational; 16 Counterexamples; 17 Truths, Lies, and the Higher Reasoning; Part VI: How We Develop Our Ability to Reason; 18 On Development; 19 Strategies and Cultures; 20 How We can Improve our Reasoning; Part VII: Knowledge, Beliefs, and Problems; 21 The Puzzles of If; 22 Causes and Obligations; 23 Beliefs, Heresies, and Changes in Mind; 24 How we Solve ProblemsPart VIII: Expert Reasoning in Technology, Logic, and Science25 Flying Bicycles: How the Wright Brothers Invented the Airplane; 26 Unwrapping an Enigma; 27 On the Mode of the Communication of Cholera; 28 How we Reason; Glossary; A; B; C; D; E; F; H; I; L; M; N; O; P; Q; R; S; T; U; V; W; Notes on the Chapters; Acknowledgements; References; Name Index; A; B; C; D; E; F; G; H; I; J; K; L; M; N; O; P; Q; R; S; T; U; V; W; Y; Z; Subject Index; A; B; C; D; E; F; G; H; I; J; K; L; M; N; O; P; Q; R; S; T; U; V; WGood reasoning can lead to success; bad reasoning can lead to catastrophe. Yet, it's not obvious how we reason, and why we make mistakes - so much of our mental life goes on outside our awareness. In recent years huge strides have been made into developing a scientific understanding of reasoning. This new book by one of the pioneers of the field, Philip Johnson-Laird, looks at the mental processes that underlie our reasoning. It provides the most accessible account yet of thescience of reasoning.We can all reason from our childhood onwards - but how? 'How we reason' outlines a bold approach toReasoning (Psychology)Thought and thinkingElectronic books.Reasoning (Psychology)Thought and thinking.153.4/3Johnson-Laird P. N(Philip Nicholas),1936-51178MiAaPQMiAaPQMiAaPQBOOK9910452580303321How we reason2297250UNINA03630nam 2200589 450 991048105270332120180731044357.01-4704-0337-4(CKB)3360000000464928(EBL)3114545(SSID)ssj0000910369(PQKBManifestationID)11595672(PQKBTitleCode)TC0000910369(PQKBWorkID)10932358(PQKB)11176554(MiAaPQ)EBC3114545(PPN)195416309(EXLCZ)99336000000046492820011109h20022002 uy| 0engur|n|---|||||txtccrBasic global relative invariants for homogeneous linear differential equations /Roger ChalkleyProvidence, Rhode Island :American Mathematical Society,[2002]©20021 online resource (223 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 744"Volume 156, number 744 (end of volume)."0-8218-2781-2 Includes bibliographical references (pages 197-199) and index.""Chapter 4. L[sub(n)] and I[sub(n,i)] as Semi-Invariants of the First Kind""""Chapter 5. V[sub(n)] and J[sub(n,i)] as Semi-Invariants of the Second Kind""; ""Chapter 6. The Coefficients of Transformed Equations""; ""6.1. Alternative formulas for c**[sub(i)](Ï?) in (1.5)""; ""6.2. The coefficients of a composite transformation""; ""6.3. Several examples""; ""6.4. Proof of an old observation""; ""6.5. Conditions for transformed equations""; ""6.6. Formulas for later reference""; ""Chapter 7. Formulas That Involve L[sub(n)](z) or I[sub(n,n)](z)""""7.1. The coefficients of (6.8) when d[sub(1)](Ï?) â?¡ d[sub(2)]((Ï?) â?¡ 0""""7.2. Derivatives for the coefficients of (6.8) when d[sub(1)](Ï?) â?¡ d[sub(2)]((Ï?) â?¡ 0""; ""7.3. Identities for the coefficients of (6.8) when d[sub(1)](Ï?) â?¡ d[sub(2)]((Ï?) â?¡ 0""; ""Chapter 8. Formulas That Involve V[sub(n)](z) or J[sub(n,n)](z)""; ""8.1. The coefficients of (6.8) when d[sub(1)](Ï?) â?¡ d[sub(2)]((Ï?) â?¡ 0""; ""8.2. Derivatives for the coefficients of (6.8) when d[sub(1)](Ï?) â?¡ d[sub(2)]((Ï?) â?¡ 0""""8.3. Identities for the coefficients of (6.8) when d[sub(1)](Ï?) â?¡ d[sub(2)]((Ï?) â?¡ 0""""Chapter 9. Verification of I[sub(n,n)] â?¡ J[sub(n,n)]and Various Observations""; ""9.1. Proof for the first part of the Main Theorem in Chapter 1""; ""9.2. Global sets""; ""9.3. A fourth type of invariant: an absolute invariant""; ""9.4. Laguerre-Forsyth canonical forms""; ""Chapter 10. The Local Constructions of Earlier Research""; ""10.1. Standard techniques""; ""10.2. An improved computational procedure""; ""10.3. Hindrances to earlier research""""Chapter 11. Relations for G[sub(i)], H[sub(i)], and L[sub(i)] That Yield Equivalent Formulas for Basic Relative Invariants""Memoirs of the American Mathematical Society ;no. 744.Differential equations, LinearInvariantsElectronic books.Differential equations, Linear.Invariants.510 s515/.354Chalkley Roger1931-991375MiAaPQMiAaPQMiAaPQBOOK9910481052703321Basic global relative invariants for homogeneous linear differential equations2271258UNINA