Foundations of Logical Consequence

June 8, 2012 - June 10, 2012
University of St. Andrews

The Gateway
United Kingdom

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  • Carnegie Trust for the Universities of Scotland
  • Scots Philosophical Association

Keynote speakers:

Michael Glanzberg
Northwestern University
Lloyd Humberstone
Monash University
Carrie Ichikawa Jenkins
University of British Columbia
Joke Meheus
University of Ghent
Francesco Paoli
Universita di Cagliari
Douglas Patterson
University of Kansas
Peter Schroeder-Heister
Universität Tübingen
Neil Tennant
Ohio State University
Gabriel Uzquiano
Oxford University

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The Conference will be the last event organised during the AHRC-funded Foundations of Logical Consequence project, and so will aim to bring together all the themes considered during the project. The overall goal has been to clarify the foundations of logical consequence. Are these absolute or relative, or pluralist? Are the 'laws of thought' universal, topic-invariant, and certain, or are they relative to context, or are there different admissible senses of validity? Is pluralism a form of relativism? Should the foundations be essentially model-theoretic, or proof-theoretic, or some hybrid of the two, or is there a third way, e.g., deflationary? Is there a clear conception of a logical constant, such that all consequence is formal, or are there different logics for different concepts, modal, temporal, epistemic and so on? Further issues concern the relata of the consequence relation: are they sentences, propositions, utterances, statements or states of affairs? are they sets of such relata, or multi-sets, or sequences? are they finite or can they be infinite? Moreover, what of the epistemology of inference? How do the competing accounts of logical consequence, and of the meanings of the logical constants, respectively, connect with the justification of logical principles? The aim is to bring together researchers in these fields to share their findings, reach conclusions, and provide a stimulus to further research.

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