Constructive Semantics
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Semantics and Algebraic Specification
Author: Jens Palsberg
language: en
Publisher: Springer Science & Business Media
Release Date: 2009-08-28
proceedings of the symposium. Somecontributorswereunabletoattendthe event.
Constructive Semantics
This edited book brings together research work in the field of constructive semantics with scholarship on the phenomenological foundations of logic and mathematics. It addresses one of the central issues in the epistemology and philosophy of mathematics, namely the relationship between phenomenological meaning constitution and constructive semantics. Contributing authors explore deep structural connections and fundamental differences between phenomenology and constructivism. Papers are drawn from contributions to a prestigious workshop held at the University of Friedrichshafen. Readers will discover insight into structural connections between the phenomenological concept of meaning constitution and constructivist concepts of meaning. Discussion ranges from more specific conceptualizations in the philosophy of logic and mathematics to more general considerations in epistemology, inferential semantics and phenomenology. Questions such as a possible phenomenological understanding of the relationship between structural rules and particle rules in dialogical logic are explored. Significant aspects of both phenomenology and dialectics, and dialectics and constructivism emerge. Graduates and researchers of philosophy, especially logic, as well as scholars of mathematics will all find something of interest in the expert insights presented in this volume.
Constructivity in Computer Science
Author: J.Paul Jr. Myers
language: en
Publisher: Springer Science & Business Media
Release Date: 1992-06-24
Mathematicians have long recognized the distinction between an argument showing that an interesting object exists and a procedure for actually constructing the object. Computer science adds a new dimension of interest in constructivity, since a computer program is a formal description of a constructive procedure that can be executed automatically. It has beenover a decade since a conference was devoted to constructivity, and never before has one been held specifically relating computer science to constructivity. Thus, this proceedings volume is the most concentrated offering ever produced of the diverse ways in which constructivity and computer science are related. The papers cover semantics and type theory, logic and theorem proving, real and complex analysis, topology and combinatorics, nonconstructive graph-theoretical techniques, and curriculum and pedagogic issues. The book offers a concentrated view of the many ways in which constructivity has assumed importance in computer science, and contains results available nowhere else.