Ebook: New Essays in Free Logic: In Honour of Karel Lambert
- Genre: Mathematics // Logic
- Tags: Logic, Semantics, Programming Languages Compilers Interpreters
- Series: Applied Logic Series 23
- Year: 2001
- Publisher: Springer Netherlands
- Edition: 1
- Language: English
- pdf
Free logic - i.e., logic free of existential presuppositions in general and with respect to singular terms in particular- began to come into its own as a field of research in the 1950s. As is the case with so many developments in Western philosophy, its roots can be traced back to ancient Greek philo sophy. It is only during the last fifty years, however, that it has become well established as a branch of modern logic. The name of Karel Lambert is most closely connected with this development: he gave it its name and its profile as a well defined field of research. After a development of fifty years, it is time to look back and take stock while at the same time scanning for new perspectives. This is the purpose of the papers collected in this volume. The first paper is written by Karel Lambert himself who also comments on all the papers of the other authors. In an introductory essay we give a survey of the present status of and new directions in free logic.
This volume contains a collection of recent papers on Free Logic which cover a wide range of topics. These topics show that Free Logic is applied not only in traditional philosophical areas, but also in various contexts of modern formal logic as well as in the discussion of theoretical aspects of programming.
Part I of the book covers theories of names and definite descriptions. Part II contains papers on various topics in the logic of modalities. Part III is devoted to semantics and programming. In part IV Free Logic is used to analyse and discuss topics from the history of philosophy. In addition, one of the founders of Free Logic, Karel Lambert, not only contributes an article to this volume, but he also comments the papers of all the other authors.
So this book will be of interest not only to philosophers and logicians, but also to computer scientists and researchers interested in foundational aspects of computer programming.
This volume contains a collection of recent papers on Free Logic which cover a wide range of topics. These topics show that Free Logic is applied not only in traditional philosophical areas, but also in various contexts of modern formal logic as well as in the discussion of theoretical aspects of programming.
Part I of the book covers theories of names and definite descriptions. Part II contains papers on various topics in the logic of modalities. Part III is devoted to semantics and programming. In part IV Free Logic is used to analyse and discuss topics from the history of philosophy. In addition, one of the founders of Free Logic, Karel Lambert, not only contributes an article to this volume, but he also comments the papers of all the other authors.
So this book will be of interest not only to philosophers and logicians, but also to computer scientists and researchers interested in foundational aspects of computer programming.
Content:
Front Matter....Pages i-vii
Free Logic: A Fifty-Year Past and an Open Future....Pages 1-34
Front Matter....Pages 35-35
Free Logic and Definite Descriptions....Pages 37-47
Calculi of Names: Free and Modal....Pages 49-65
Front Matter....Pages 67-67
Free Logic and Quantification in Syntactic Modal Contexts....Pages 69-85
Substitution, Quantifiers and Identity in Modal Logic....Pages 87-115
Free Epistemic Logic....Pages 117-124
Front Matter....Pages 125-125
Supervaluational Free Logic and the Logic of Information Growth....Pages 127-146
“No Input, No Output” Logic....Pages 147-155
Free Logic in Program Specification and Verification....Pages 157-193
Front Matter....Pages 195-195
Existence and Reference in Medieval Logic....Pages 197-226
Can Meinongian Logic be Free?....Pages 227-236
Front Matter....Pages 237-237
Comments....Pages 239-252
Back Matter....Pages 253-255
This volume contains a collection of recent papers on Free Logic which cover a wide range of topics. These topics show that Free Logic is applied not only in traditional philosophical areas, but also in various contexts of modern formal logic as well as in the discussion of theoretical aspects of programming.
Part I of the book covers theories of names and definite descriptions. Part II contains papers on various topics in the logic of modalities. Part III is devoted to semantics and programming. In part IV Free Logic is used to analyse and discuss topics from the history of philosophy. In addition, one of the founders of Free Logic, Karel Lambert, not only contributes an article to this volume, but he also comments the papers of all the other authors.
So this book will be of interest not only to philosophers and logicians, but also to computer scientists and researchers interested in foundational aspects of computer programming.
Content:
Front Matter....Pages i-vii
Free Logic: A Fifty-Year Past and an Open Future....Pages 1-34
Front Matter....Pages 35-35
Free Logic and Definite Descriptions....Pages 37-47
Calculi of Names: Free and Modal....Pages 49-65
Front Matter....Pages 67-67
Free Logic and Quantification in Syntactic Modal Contexts....Pages 69-85
Substitution, Quantifiers and Identity in Modal Logic....Pages 87-115
Free Epistemic Logic....Pages 117-124
Front Matter....Pages 125-125
Supervaluational Free Logic and the Logic of Information Growth....Pages 127-146
“No Input, No Output” Logic....Pages 147-155
Free Logic in Program Specification and Verification....Pages 157-193
Front Matter....Pages 195-195
Existence and Reference in Medieval Logic....Pages 197-226
Can Meinongian Logic be Free?....Pages 227-236
Front Matter....Pages 237-237
Comments....Pages 239-252
Back Matter....Pages 253-255
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