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Truth and Proof in the Long Run: Essays on Trial and-Error Logics

Abstract
The theme of this book is convergence. For many philosophical representations of the evolution of theories, as well as representations of the meaning of the language used to express these theories, it has been essential that there exists some kind of convergence. This thesis introduces and collects four papers in philosophical logic pertaining to two different aspects of this basic tenet. On one hand, we have theories, their axioms and their rules of inference. We often have reason to revise a theory over time, to delete some axioms, add some new ones, or perhaps even revise our modes of reasoning. A simple model of such activity, providing a definition of what it may mean that something is provable in the long run in such a dynamic setting, is here investigated, and its relevance for the philosophical discussion about mechanism and knowable self-consistency is evaluated. On the other hand, the notion of a convergent concept, a term which, for whatever reason, has a certain tendency to its application over time, gets a precise explication in terms of trial-and-error classifiers. Formal languages, based on these classifiers, are introduced with semantics and proof systems, and are explored using standard logical methods.
Parts of work
(I) M. Kaså. Experimental Logics, Mechanism and Knowable Consistency. Theoria, 78(3): 213-224, 2012. ::doi::10.1111/j.1755-2567.2012.01133.x
 
(II) M. Kaså. A Logic for Trial and Error Classifiers. Journal of Logic, Language and Information, 24(3):307-322, 2015. ::doi::10.1007/s10849-015-9222-7
 
(III) M. Kaså. Formally Modelling Convergent Dynamic Meaning. Results on Compactness and Axiomatizability. Submitted, 2016.
 
(IV) M. Kaså. Analytic Tableaux for Trial-and-Error Reasoning. Manuscript, 2017.
 
Degree
Doctor of Philosophy
University
Göteborgs universitet. Humanistiska fakulteten
University of Gothenburg. Faculty of Arts
Institution
Department of Philosophy, Linguistics and Theory of Science ; Institutionen för filosofi, lingvistik och vetenskapsteori
Disputation
Fredagen den 7 april 2017, kl 13:00, Sal T302, Gamla Hovrätten, Olof Wijksgatan 6
Date of defence
2017-04-07
E-mail
martin.kasa@gu.se
Other description
Manuscripts of papers III and IV are provided by the author upon request.
URI
http://hdl.handle.net/2077/51792
Collections
  • Acta Philosophica Gothoburgensia
  • Doctoral Theses / Doktorsavhandlingar Institutionen för filosofi, lingvistik och vetenskapsteori
  • Doctoral Theses from University of Gothenburg / Doktorsavhandlingar från Göteborgs universitet
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Thesis frame (269.7Kb)
Abstract (21.00Kb)
Date
2017-03-17
Author
Kaså, Martin
Keywords
convergence
dynamic meaning
experimental logics
knowable consistency
tableaux systems
trial-and-error
Publication type
Doctoral thesis
ISBN
978-91-7346-903-6 (print)
978-91-7346-904-4 (digital)
ISSN
0283-2380
Series/Report no.
Acta Philosophica Gothoburgensia
29
Language
eng
Metadata
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