Logic List Mailing Archive
CfP special issues of 'Logic and Logical Philosophy' on point-free geometry and topology
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LOGIC AND LOGICAL PHILOSOPHY
special issue: Point-free geometry and topology
Guest Editors: Cristina Coppola, Giangiacomo Gerla (Salerno, Italy)
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Point-free systems of geometry and topology are those geometrical and
topological theories which do not include the notion of point among their
primitive concepts. On the one hand, research within this branch of logic
and mathematics was initiated at the beginning of the XXth century by
Norman Whitehead and Theodore de Laguna with the aim to give intuitive
foundations of Euclidean geometry. On the other hand, Marshall Stone in
his ground-breaking representation theorems for Boolean algebras showed
how closely related to each other are algebra and topology.
Whitehead's and de Laguna's ideas gave rise to the so called region-based
theories of space, which aspire to describe spatial relations be means of
regions and relations holding between them: inclusion (parthood) and
connection. Stone's discoveries were the cornerstone of the theory of
frames and locales, which turned out to be very fruitful in establishing
properties of topological spaces. However, both approaches to point-free
theories of space are closely related to each other: regions have
algebraic properties which allow to reconstruct geometries and topologies,
frames and locales deliver tools which shed new light on mutual
dependencies between algebraic and topological properties.
We invite all scholars interested in the field to submit papers for the
special issue of Logic and Logical Philosophy devoted to point-free
systems of geometry and topology. We expect papers submitted to be related
to point-free geometry and topology via the following research areas:
* Contact algebras, connection structures, region connection calculus
* Foundations of geometry and topology
* Frames and locales
* Point-free metric spaces
* Modal logics of space
* Mereology
* Mereotopology
* Ontology of space
* Proximity spaces
* Qualitative theories of space
* Representation theorems for ordered sets
* Rough mereology
* Spatial logic.
Expected publication: Winter 2012/Spring 2013.
In case we receive a large number of high-quality papers we will publish
them in two parts in two different issues.
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+ Papers should be sent to one of the Editors: +
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+ - Giangiacomo Gerla: ggerla@unisa.it<mailto:ggerla@unisa.it> +
+ - Cristina Coppola: ccoppola@unisa.it<mailto:ccoppola@unisa.it> +
+ - Andrzej Pietruszczak: pietrusz@umk.pl<mailto:pietrusz@umk.pl> +
+ - Marek Nasieniewski: mnasien@umk.pl<mailto:mnasien@umk.pl> +
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+ Guide for authors: http://www.logika.umk.pl/llp/inf4a.html +
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+ About LLP: http://www.logika.umk.pl/llp/about.html +
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