UID:
edoccha_9961535692402883
Format:
1 online resource (119 pages)
Edition:
1st ed.
ISBN:
3-031-55040-4
Series Statement:
Fuzzy Management Methods Series
Note:
Intro -- Acknowledgements -- Prologue by Edy Portmann -- Prologue by Alejandro Sobrino -- Contents -- 1 Introduction -- Part I The Skeleton of Reason -- 2 A Formal Skeleton of Reason -- 2.1 The Relation of Inference -- 2.2 Negation -- 2.3 Conjunction and Disjunction -- 2.4 The Skeleton and Its Theoretical Support -- 2.5 Maximum and Minimum -- 3 Reason in Light of the Skeleton -- 3.1 The Regular and Irregular Skeleton -- 3.2 Reasoning in Light of the Skeleton -- 3.3 Is It a Spectacular Mystery? -- 3.4 Other Forms of Transitivity -- Part II The Model of Precise Reasoning -- 4 Boolean Algebras Come with Lots of Laws -- 4.1 What Is Boolean Algebra? -- 4.2 Strong Typical Properties of Boolean Algebras -- 4.3 Finite Boolean Algebras and Speculation -- 4.4 Infinite Boolean Algebras and Speculation -- 5 With Fewer Laws: Ortho-Lattices and De Morgan Algebras -- 5.1 Ortho-Lattices -- 5.2 Ortho-Modular Lattices -- 5.3 De Morgan Algebras -- 5.4 More on Ortho-Lattices and De Morgan Algebras -- 5.5 Revisiting Duality in the Skeleton -- 5.6 What Has Been Seen so Far? -- 6 Conjectures on Ortho-Lattices and De Morgan Algebras -- 6.1 Conjectures on Ortho-Lattices -- 6.2 Conjectures on De Morgan Algebras -- 6.3 Conjectures and Speculations on Sharp Set Cases -- Part III Models of Imprecise Reasoning -- 7 Meanings and Calculations Using Imprecise Concepts -- 7.1 Measurable Words -- 7.2 Qualitative and Quantitative Meanings -- 7.3 Collectivized Meaning -- 7.4 Measurable Words (Precise and Imprecise) and Fuzzy Sets -- 7.5 Meaning of Complex Statements -- 7.6 Duality -- 8 Fuzzy Basic Algebras, with Fewer and More Laws -- 8.1 Fuzzy Algebras Allow Calculations Using Imprecise Concepts -- 8.2 Additional Laws of Basic Fuzzy Calculus -- 8.3 Conjectures in Fuzzy Algebras -- 8.4 Basic Algebras and the Skeleton -- 9 On Truth and Its Relationship with Inference.
,
9.1 On the Meaning of the Predicate ``True'' -- 9.2 Truth and Inference -- 9.3 Conjectures, Refutations, and Truth -- 9.4 Some Laws in Light of the Truth -- 9.5 Comments on Falsifying Versus Controlling -- Part IV Reasoning and Meaning -- 10 The Effective Possibility of Reasoning -- 10.1 Unity of Opposites and Dialectical Synthesis -- 10.2 The Measurable Concept of Opposite -- 10.3 The Friction or Coupling of Meanings -- 10.4 Speculation -- 10.5 Reflection, Rethinking -- 10.6 Rethinking a Literary Phrase and Semantic Control -- 10.7 Nonmonotonic -- 11 Final Comments and Conclusion -- Bibliography.
Additional Edition:
ISBN 3-031-55039-0
Language:
English
