Peirce and Husserl: Mutual Insights on Logic, Mathematics and Cognition (Logic, Epistemology, and the Unity of Science Book 46)

La 4e de couverture indique : "This volume aims to provide the elements for a systematic exploration of certain fundamental notions of Peirce and Husserl in respect with foundations of science by means of drawing a parallelism between their works. Tackling a largely understudied comparison between these two contemporary philosophers, the authors highlight the significant similarities in some of their fundamental ideas. This volume consists of eleven chapters under four parts. The first part concerns methodologies and main principles of the two philosophers. An introductory chapter outlines central historical and systematical themes arising out of the recent scholarship on Peirce and Husserl. The second part is on logic, its Chapters dedicated to the topics from Peirce's Existential Graphs and the philosophy of notation to Husserl's notions of pure logic and transcendental logic. The third part includes contributions on philosophy of mathematics. Chapters in the final part deal with the theory of cognition, consciousness and intentionality. The closing chapter provides an extended glossary of central terms of Peirce's theory of phaneroscopy, explaining them from the viewpoint of the theory of cognition" Preface 6 Acknowledgements 9 Contents 10 Methods 12 1 Mutual Insights on Peirce and Husserl 13 References 23 2 Logical Construction and Phenomenological Reduction 26 2.1 Historical Relations 26 2.1.1 Historical Setting of Pragmatism and Phenomenology 26 2.1.2 The Dialogical Polarity of Actions and the Problem of Transsubjectivity from Peirce and Dilthey via Russell and Husserl to Wittgenstein and Buber 31 2.2 Systematic Issues 38 2.2.1 The First Step of Reflection Leading to Logical Construction and Phenomenological Reduction as the Two Sides of Dialogical Reconstruction of Experience 38 2.2.2 Further Steps of Reflection by Following a Rule of Self-Similarity in Order to Cope with the Issue of How Making and Articulating Experience Are Intertwined 45 3 Thoughts, Things and Logical Guidance 52 3.1 Introduction 53 3.2 Guiding Principle as the Core of Reasoning 54 3.3 Evolution of Logical Guidance and the Theory of Existential Graphs 56 3.4 Scrolls and the Blot 58 3.5 Logical Leading Principles, Logical Evolution, Logical Phaneroscopy 62 3.6 Conclusion 64 References 66 Logic 68 4 Philosophy of Notation in the 19th Century. Peirce, Husserl, and All the Others on Inclusion and Assertion 69 4.1 Inclusion 70 4.2 The Sign of Assertion 76 References 82 5 Symbolic Knowledge in Husserlian Pure Logic 84 5.1 Introduction 86 5.2 Concrete Intentionality 88 5.2.1 Expressions as Physical Phenomena 88 5.2.2 Meaning-Giving Acts (or Meaning-Intention) 89 5.2.3 Meaning-Fulfilling Acts (or Meaning-Fulfillment) 91 5.3 Abstract Intentionality 92 5.3.1 Expressions in Specie 92 5.3.2 Intending Sense or Meaning Simpliciter 93 5.3.3 Fulfilling-Sense (and the Object's Ideal Correlate) 94 5.4 The Phenomenological Categorialities 96 5.4.1 Apophantic Categoriality 96 5.4.2 Ontological Categoriality 97 5.4.3 Categorial Intentionality 98 5.5 Conclusion 99 References 101 6 Peirce's Existential Graphs as a Contribution to Transcendental Logic 104 6.1 Introduction 104 6.2 Scope of Logic 105 6.3 EGs and Transcendental Logic 108 6.4 Some Logical Features Revealed by Transcendental Logic 109 6.4.1 Logic and the Place of Assumption 109 6.4.2 Consequence-Level Versus Truth-Level 110 6.5 A Short Introduction to Existential Graphs 112 6.6 Space of Judgment and Space of Assumption 119 6.7 Meaning Explanation of Logical Connectives 126 6.8 Conclusion 127 References 128 Mathematics 130 7 Husserl and Peirce and the Goals of Mathematics 131 7.1 Husserl and Peirce on Modern Mathematics 133 7.2 Husserl on Mathematics and Its Definiteness 136 7.3 Peirce on Continuity 138 7.4 Husserl and Peirce: Towards Completeness Versus Potentiality 141 References 143 8 A Receding Parallelism: Husserl and Peirce from the Perspective of Logic of Probability 144 8.1 Introduction 145 8.2 Logical Mutual Recognition in the Background of a Conventional Hostility 147 8.3 Parallel Paths on the Logic of Probability Within the Frame of a Reformed Logic 155 8.4 Husserl’s Project of Logic of Probability in Defense of Boole 157 8.5 Peirce’s Logic of Relatives on the Footsteps of Boole 161 8.6 Starting Points: The Question of Compatibility of the First/Leading Principles 167 References 176 Cognition, Consciousness and Intentionality 180 9 On Peirce and Husserl on Intentionality 181 9.1 Husserl on Intentionality 181 9.2 Peirce on Intention 183 9.3 A Comparison Between Husserl and Peirce 185 References 187 10 On the Arising of the I in Peirce and Husserl 189 10.1 Introduction 189 10.2 Two Phenomenologies or One Descriptive Philosophy? 190 10.2.1 The Ethics of the Two Phenomenologies 191 10.3 The Heraclitean Source of Descriptive Philosophy 192 10.3.1 Genetic Phenomenology and the Awakening of the Ego 193 10.4 Firstness, Secondness and Thirdness 195 10.5 Husserl’s Awakening and Peirce’s Reaction 197 10.6 Conclusions 199 References 200 11 Phaneroscopy and Theory of Signs as Theory of Cognition 202 11.1 Introduction 202 11.2 The Glossary of Key Terms 204 11.3 Conclusions 219 References 222 Front Matter ....Pages i-xii Front Matter ....Pages 1-1 Mutual Insights on Peirce and Husserl (Ahti-Veikko Pietarinen, Mohammad Shafiei, Frederik Stjernfelt)....Pages 3-15 Logical Construction and Phenomenological Reduction (Kuno Lorenz)....Pages 17-42 Thoughts, Things and Logical Guidance (Angelina Bobrova, Ahti-Veikko Pietarinen)....Pages 43-58 Front Matter ....Pages 59-59 Philosophy of Notation in the 19th Century. Peirce, Husserl, and All the Others on Inclusion and Assertion (Francesco Bellucci)....Pages 61-75 Symbolic Knowledge in Husserlian Pure Logic (Manuel Gustavo Isaac)....Pages 77-96 Peirce’s Existential Graphs as a Contribution to Transcendental Logic (Mohammad Shafiei)....Pages 97-122 Front Matter ....Pages 123-123 Husserl and Peirce and the Goals of Mathematics (Mirja Hartimo)....Pages 125-137 A Receding Parallelism: Husserl and Peirce from the Perspective of Logic of Probability (Carlos Lobo)....Pages 139-174 Front Matter ....Pages 175-175 On Peirce and Husserl on Intentionality (Yi Jiang)....Pages 177-184 On the Arising of the I in Peirce and Husserl (Susi Ferrarello)....Pages 185-197 Phaneroscopy and Theory of Signs as Theory of Cognition (Ahti-Veikko Pietarinen, Jelena Issajeva)....Pages 199-219