|
Showing 1 - 4 of
4 matches in All Departments
|
Diagrammatic Representation and Inference - 10th International Conference, Diagrams 2018, Edinburgh, UK, June 18-22, 2018, Proceedings (Paperback, 1st ed. 2018)
Peter Chapman, Gem Stapleton, Amirouche Moktefi, Sarah Perez-Kriz, Francesco Bellucci
|
R3,132
Discovery Miles 31 320
|
Ships in 10 - 15 working days
|
This book constitutes the refereed proceedings of the 10th
International Conference on the Theory and Application of Diagrams,
Diagrams 2018, held in Edinburgh, UK, in June 2018. The 26 revised
full papers and 28 short papers presented together with 32 posters
were carefully reviewed and selected from 124 submissions. The
papers are organized in the following topical sections: generating
and drawing Euler diagrams; diagrams in mathematics; diagram
design, principles and classification; reasoning with diagrams;
Euler and Venn diagrams; empirical studies and cognition; Peirce
and existential graphs; and logic and diagrams.
Logic, the discipline that explores valid reasoning, does not need
to be limited to a specific form of representation but should
include any form as long as it allows us to draw sound conclusions
from given information. The use of diagrams has a long but unequal
history in logic: The golden age of diagrammatic logic of the 19th
century thanks to Euler and Venn diagrams was followed by the early
20th century's symbolization of modern logic by Frege and Russell.
Recently, we have been witnessing a revival of interest in diagrams
from various disciplines - mathematics, logic, philosophy,
cognitive science, and computer science. This book aims to provide
a space for this newly debated topic - the logical status of
diagrams - in order to advance the goal of universal logic by
exploring common and/or unique features of visual reasoning.
This contributed volume collects papers related to the Logic in
Question workshop, which has taken place annually at Sorbonne
University in Paris since 2011. Each year, the workshop brings
together historians, philosophers, mathematicians, linguists, and
computer scientists to explore questions related to the nature of
logic and how it has developed over the years. As a result, chapter
authors provide a thorough, interdisciplinary exploration of topics
that have been studied in the workshop. Organized into three
sections, the first part of the book focuses on historical
questions related to logic, the second explores philosophical
questions, and the third section is dedicated to mathematical
discussions. Specific topics include: * logic and analogy* Chinese
logic* nineteenth century British logic (in particular Boole and
Lewis Carroll)* logical diagrams * the place and value of logic in
Louis Couturat's philosophical thinking* contributions of logical
analysis for mathematics education* the exceptionality of logic*
the logical expressive power of natural languages* the unification
of mathematics via topos theory Logic in Question will appeal to
pure logicians, historians of logic, philosophers, linguists, and
other researchers interested in the history of logic, making this
volume a unique and valuable contribution to the field.
|
|