Logic Without Borders: Essays on Set Theory, Model Theory, Philosophical Logic and Philosophy of Mathematics

, , & (eds.)
Boston: De Gruyter (2015)
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Abstract

In recent years, mathematical logic has developed in many directions, the initial unity of its subject matter giving way to a myriad of seemingly unrelated areas. The articles collected here, which range from historical scholarship to recent research in geometric model theory, squarely address this development. These articles also connect to the diverse work of Väänänen, whose ecumenical approach to logic reflects the unity of the discipline.

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QA9.7.L66 2015

ISBN(s)

9781614517726   9781614516873   161451772X

DOI

10.1515/9781614516873.vii

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Chapters

Contents.Andrés Villaveces, Roman Kossak, Juha Kontinen & Åsa Hirvonen
Preface – Unity and Diversity of Logic.Andrés Villaveces, Roman Kossak, Juha Kontinen & Åsa Hirvonen
On the “Logic without Borders” Point of View. [REVIEW]  (pages 1-14)Juliette Kennedy
Arrow’s Theorem by Arrow Theory. [REVIEW]  (pages 15-30)Samson Abramsky
How Big Should the Monster Model Be? [REVIEW]  (pages 31-50)John T. Baldwin
Modal Logic in the Modal Sense of Modality. [REVIEW]  (pages 51-72)John P. Burgess
Lindström’s Theorem for Positive Logics, a Topological View. [REVIEW]  (pages 73-90)Xavier Caicedo
Model Theory of Fields With Operators – a Survey. [REVIEW]  (pages 91-114)Zoé Chatzidakis
Some Aspects of the Ramsey Theory of Real Numbers. [REVIEW]  (pages 115-138)Carlos Augusto Di Prisco
The Singular World of Singular Cardinals. [REVIEW]  (pages 139-146)Mirna Džamonja
Logical Nihilism. [REVIEW]  (pages 147-166)Curtis Franks
Logical Nihilism. [REVIEW]  (pages 147-166)Curtis Franks
The Doxastic Interpretation of Team Semantics. [REVIEW]  (pages 167-192)Pietro Galliani
The Size of a Formula as a Measure of Complexity.  (pages 193-214)Jouko Väänänen & Lauri Hella
Notes on the History of Scope. [REVIEW]  (pages 215-240)Wilfrid Hodges
Notes on the History of Scope. [REVIEW]  (pages 215-240)Wilfrid Hodges
Universal Structures with Forbidden Homomorphisms. [REVIEW]  (pages 241-264)Jaroslav Nešetril & Jan Hubicka
Counting Measure and Forking in Finite Models. [REVIEW]  (pages 265-280)Tapani Hyttinen
The Model Theory of Generic Cuts.  (pages 281-296)Richard Kaye & Tin Lok Wong
The Model Theory of Generic Cuts.  (pages 281-296)Richard Kaye & Tin Lok Wong
The Model Theory of Generic Cuts. [REVIEW]  (pages 281-296)Richard Kaye & Tin Lok Wong
The Model Theory of Generic Cuts. [REVIEW]  (pages 281-296)Richard Kaye & Tin Lok Wong
The Model Theory of Generic Cuts. [REVIEW]  (pages 281-296)Tin Lok Wong & Richard Kaye
The Model Theory of Generic Cuts.  (pages 281-296)Tin Lok Wong & Richard Kaye
On Natural Deduction in Dependence Logic. [REVIEW]  (pages 297-304)Juha Kontinen
Infinitary Methods in Finite Model Theory. [REVIEW]  (pages 305-318)Scott Weinstein, Henry Towsner & Steven Lindell
Saturating the Random Graph with an Independent Family of Small Range. [REVIEW]  (pages 319-338)Saharon Shelah & Maryanthe Malliaris
Constructive Realism in Mathematics.  (pages 339-354)Ilkka Niiniluoto
Constructive Realism in Mathematics.  (pages 339-354)Ilkka Niiniluoto
The Twin Continua of Inductive Methods.  (pages 355-366)Alena Vencovská & Jeff B. Paris
A.E.C. with Not Too Many Models.  (pages 367-402)Saharon Shelah
A.E.C. with Not Too Many Models.  (pages 367-402)Saharon Shelah
Pursuing Logic without Borders.  (pages 403-416)Jouko Väänänen
A Radio Interview with Jouko Väänänen.  (pages 417-422)Andrés Villaveces, Roman Kossak, Juha Kontinen & Åsa Hirvonen

Similar books and articles

A Radio Interview with Jouko Väänänen.Andrés Villaveces, Roman Kossak, Juha Kontinen & Åsa Hirvonen - 2015 - In Asa Hirvonen, Juha Kontinen, Roman Kossak & Andres Villaveces (eds.), Logic Without Borders: Essays on Set Theory, Model Theory, Philosophical Logic and Philosophy of Mathematics. Boston: De Gruyter. pp. 417-422.
Pursuing Logic without Borders.Jouko Väänänen - 2015 - In Asa Hirvonen, Juha Kontinen, Roman Kossak & Andres Villaveces (eds.), Logic Without Borders: Essays on Set Theory, Model Theory, Philosophical Logic and Philosophy of Mathematics. Boston: De Gruyter. pp. 403-416.
Contents.Andrés Villaveces, Roman Kossak, Juha Kontinen & Åsa Hirvonen - 2015 - In Asa Hirvonen, Juha Kontinen, Roman Kossak & Andres Villaveces (eds.), Logic Without Borders: Essays on Set Theory, Model Theory, Philosophical Logic and Philosophy of Mathematics. Boston: De Gruyter.
On the “Logic without Borders” Point of View. [REVIEW]Juliette Kennedy - 2015 - In Asa Hirvonen, Juha Kontinen, Roman Kossak & Andres Villaveces (eds.), Logic Without Borders: Essays on Set Theory, Model Theory, Philosophical Logic and Philosophy of Mathematics. Boston: De Gruyter. pp. 1-14.
The Model Theory of Generic Cuts.Richard Kaye & Tin Lok Wong - 2015 - In Asa Hirvonen, Juha Kontinen, Roman Kossak & Andres Villaveces (eds.), Logic Without Borders: Essays on Set Theory, Model Theory, Philosophical Logic and Philosophy of Mathematics. Boston: De Gruyter. pp. 281-296.
Constructive Realism in Mathematics.Ilkka Niiniluoto - 2015 - In Asa Hirvonen, Juha Kontinen, Roman Kossak & Andres Villaveces (eds.), Logic Without Borders: Essays on Set Theory, Model Theory, Philosophical Logic and Philosophy of Mathematics. Boston: De Gruyter. pp. 339-354.

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Author Profiles

Andrés Villaveces
Universidad Nacional de Colombia
Roman Kossak
City University of New York

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