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 Cantorian set theory

Alex Oliver and Timothy Smiley

in Plural Logic

Published in print:
2013
Published Online:
September 2013
ISBN:
9780199570423
eISBN:
9780191755866
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199570423.003.0014
Subject:
Philosophy, Logic/Philosophy of Mathematics, Philosophy of Language

This chapter applies plural logic to set theory. Set theory may be axiomatized with full plural logic as the underlying logic and with the function sign { }—read ‘set of’—as its only nonlogical ... More


Cantorian set theory

Alex Oliver and Timothy Smiley

in Plural Logic: Second Edition, Revised and Enlarged

Published in print:
2016
Published Online:
February 2017
ISBN:
9780198744382
eISBN:
9780191843877
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198744382.003.0014
Subject:
Philosophy, Logic/Philosophy of Mathematics, Philosophy of Language

This chapter applies plural logic to set theory. Set theory may be axiomatized with full plural logic as the underlying logic and with the function sign { }—read ‘set of’—as its only nonlogical ... More


No-Matter-What

Jon Cogburn

in Garcian Meditations: The Dialectics of Persistence in Form and Object

Published in print:
2017
Published Online:
January 2018
ISBN:
9781474415910
eISBN:
9781474434942
Item type:
chapter
Publisher:
Edinburgh University Press
DOI:
10.3366/edinburgh/9781474415910.003.0004
Subject:
Philosophy, Metaphysics/Epistemology

Chapter IV contains a clarification one of Garcia’s major terms of art, ‘no-matter-what’. Interpreting Garcia correctly on this allows one to derive a new argument for the existence of the empty set.


What is the Content of a Hallucinatory Experience?

Michael Tye

in Does Perception Have Content?

Published in print:
2014
Published Online:
December 2014
ISBN:
9780199756018
eISBN:
9780199395255
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199756018.003.0012
Subject:
Philosophy, Philosophy of Mind

Once it is acknowledged that in veridical and illusory cases of perception, the seen object is a component of the content of the experience and thus that the content itself is singular, a puzzle ... More


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