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The Road to Universal Logic

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Cover of 'The Road to Universal Logic'

Table of Contents

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    Book Overview
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    Chapter 1 Ibn Sīnā’s Two-Partite Versus Nine-Partite Logicography
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    Chapter 2 Homotopical Categories of Logics
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    Chapter 3 Semi-implication: A Chapter in Universal Logic
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    Chapter 4 A Formal Framework for Hypersequent Calculi and Their Fibring
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    Chapter 5 Investigating Knowledge and Opinion
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    Chapter 6 The Algebra of Opposition (and Universal Logic Interpretations)
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    Chapter 7 Universal Logic as a Science of Patterns
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    Chapter 8 Hexagonal Logic of the Field $\mathbb{F}_{8}$ as a Boolean Logic with Three Involutive Modalities
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    Chapter 9 The Move from One to Two Quantifiers
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    Chapter 10 On the Contrary: Disjunctive Syllogism and Pragmatic Strengthening
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    Chapter 11 Aristotle on Language and Universal Proof
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    Chapter 12 Béziau on And and Or
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    Chapter 13 Universal Logic or Logics in Resemblance Families
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    Chapter 14 Causality and Attribution in an Aristotelian Theory
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    Chapter 15 Using Each Other’s Words
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    Chapter 16 On Universality and Formality in 19th Century Symbolic Logic: The Case of Schröder’s “Absolute Algebra”
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    Chapter 17 Caramuel and the “Quantification of the Predicate”
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    Chapter 18 Lossy Inference Rules and Their Bounds: A Brief Review
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    Chapter 19 Nonsets
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    Chapter 20 A Roadmap to Decidability
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    Chapter 21 John Buridan on Non-contingency Syllogisms
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    Chapter 22 Symbolic Existence in Hugh MacColl: A Dialogical Approach
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    Chapter 23 Béziau’s Contributions to the Logical Geometry of Modalities and Quantifiers
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    Chapter 24 On Metalogical Relativism
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    Chapter 25 Constructivism and Metamathematics
Attention for Chapter 16: On Universality and Formality in 19th Century Symbolic Logic: The Case of Schröder’s “Absolute Algebra”
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Chapter title
On Universality and Formality in 19th Century Symbolic Logic: The Case of Schröder’s “Absolute Algebra”
Chapter number 16
Book title
The Road to Universal Logic
Published by
Birkhäuser, Cham, January 2015
DOI 10.1007/978-3-319-10193-4_16
Book ISBNs
978-3-31-910192-7, 978-3-31-910193-4
Authors

Javier Legris