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On Preserving: Essays on Preservationism and Paraconsistent Logic [Kõva köide]

  • Formaat: Hardback, 277 pages, kõrgus x laius x paksus: 236x157x18 mm, kaal: 460 g
  • Sari: Toronto Studies in Philosophy
  • Ilmumisaeg: 25-Apr-2009
  • Kirjastus: University of Toronto Press
  • ISBN-10: 080209838X
  • ISBN-13: 9780802098382
Teised raamatud teemal:
  • Formaat: Hardback, 277 pages, kõrgus x laius x paksus: 236x157x18 mm, kaal: 460 g
  • Sari: Toronto Studies in Philosophy
  • Ilmumisaeg: 25-Apr-2009
  • Kirjastus: University of Toronto Press
  • ISBN-10: 080209838X
  • ISBN-13: 9780802098382
Teised raamatud teemal:

Assembling the previously scattered works of the Preservationist School, this collection contains all of the most significant works on the basic theory of the preservationist approach to paraconsistent logic.



Paraconsistent logic is a theory of reasoning in philosophy that studies inconsistent data. The discipline has several different schools of thought, including preservationism, which responds to the problems that arise when human beings continue to reason when faced with inconsistent data. On Preserving is the first complete account of the Preservationist School, which developed in Canada out of the early work of Raymond Jennings, Peter Schotch, and their students.

Assembling the previously scattered works of the Preservationist School, this collection contains all of the most significant works on the basic theory of the preservationist approach to paraconsistent logic. With essays both written and rewritten specifically for this volume, the contributors cover topics that include the motivation for the preservationist approach, as well as more technical results of their research. Concise and unified, On Preserving is the ideal introduction to a distinct philosophical field.

Muu info

'On Preserving is not only an introduction to preservationist logic and its philosophical motivation; it is also an accessible collection of state-of-the-art ideas on the topic. In addition to being necessary reading for researchers in paraconsistent logic, On Preserving is arguably necessary reading for anyone working in philosophical logic in general.' -- Jc Beall, Department of Philosophy, University of Connecticut
Acknowledgments ix
Introduction to the Essays
3(14)
Peter Schotch
The Origins of Preservationism
3(4)
How Paraconsistent Inference Fell out of Modal Semantics
7(4)
The Concept of Level
11(1)
Preservation
11(2)
The Essays
13(4)
Paraconsistency: Who Needs It?
17(16)
Ray Jennings
Peter Schotch
Introduction
17(3)
The Strange Case of C.I. Lewis
20(3)
The Inconsistency of Belief
23(4)
Inconsistency and Ethics
27(3)
Summing Up
30(3)
Weakly Additive Algebras and a Completeness Problem
33(16)
Alasdair Urquhart
Introduction and Brief History
33(4)
Weakly Additive Operators
37(3)
A Further Generalization
40(1)
Duality Theory for Weakly Additive Operators
41(8)
A Dualization of Neighbourhood Structures
49(12)
Dorian Nicholson
Introduction
49(1)
Hyperframes
50(4)
Normal Hyperframes
54(3)
Weakly Aggregative Modal Logic
57(4)
Polyadic Modal Logics and Their Monadic Fragments
61(24)
Kam Sing Leung
R.E. Jennings
Introduction
61(3)
Polyadic Modal Languages and Multi-ary Relational Frames
64(3)
Normal Polyadic Modal Logics
67(6)
Frame Definability
73(2)
Soundness and Completeness
75(6)
Diagonal Fragments of Normal Polyadic Modal Logics
81(4)
Preserving What?
85(20)
Gillman Payette
Peter Schotch
Introduction
85(3)
Making a Few Things Precise
88(4)
What's Wrong with This Picture?
92(1)
Speak of the Level
93(3)
Level Preservation
96(5)
Yes, But Is It Inference?
101(2)
Forcing in Comparison with Other Level-Preserving Relations
103(2)
Preserving Logical Structure
105(40)
Gillman Payette
Introduction
105(3)
Definitions
108(10)
Substitutions
118(3)
Algebraic Concerns
121(4)
Denials
125(2)
Forcing and Preservationism
127(2)
Structural Rules and Compactness
129(5)
First-Order Logic and Forcing
134(8)
Conclusion
142(3)
Representation of Forcing
145(16)
Dorian Nicholson
Bryson Brown
Introduction
145(1)
Background
146(2)
Representation
148(3)
The Representation Theorem
151(1)
More Definitions and Motivation
152(4)
Γ[ x Δ
156(2)
Γ[ x Δ
158(1)
The Representation of Forcing
158(3)
Forcing and Practical Inference
161(14)
Peter Schotch
Introduction
161(3)
Dirty Hands
164(1)
Σ-Forcing
165(5)
A-Forcing
170(2)
Wrap-up
172(3)
Ambiguity Games and Preserving Ambiguity Measures
175(14)
Bryson Brown
Ambiguity
175(2)
The Logic of Paradox
177(3)
Restoring Symmetry
180(6)
Ambiguity and Quantification
186(1)
Echoes of Supervaluation
187(1)
Final Remarks on Preservation
188(1)
Nomenclature 189(6)
References 195(4)
Index 199(4)
Contributors 203
Peter Schotch is a professor in the Department of Philosphy at Dalhousie University.

Bryson Brown is a professor in the Department of Philosophy at the University of Lethbridge.

Raymond Jennings is a professor in the Department of Philosphy at Simon Fraser University.