NEITHER NOR STATEMENTS AND NEITHER NOR STATES

ANTONOPOULOS, C

dc.contributor.author	ANTONOPOULOS, C	en
dc.date.accessioned	2014-03-01T01:42:13Z
dc.date.available	2014-03-01T01:42:13Z
dc.date.issued	1993	en
dc.identifier.issn	0144-5340	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/23718
dc.subject.classification	Ethics	en
dc.subject.classification	History & Philosophy Of Science	en
dc.subject.classification	Philosophy	en
dc.title	NEITHER NOR STATEMENTS AND NEITHER NOR STATES	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1993	en
heal.abstract	Most claims for the falsification of the Law of the Excluded Middle (LEM) rest on confusion or can be circumvented. A few of them, however, cannot. I concentrate on two of those, (a) cases involving conflicting criteria (border line cases) and (b) cases imposed by quantum discontinuity (no real state admitted between any two consecutive states). Nevertheless, despite the authenticity of both, closer analysis reveals these two modes of violating LEM to be direct opposites. In (a) LEM fails in the relation between language and the world, and not in the world when viewed independently of this relation; in (b) LEM fails in the world itself, if at all. In (a) LEM fails because the Law of Non-Contradiction fails first (mutually exclusive classifications are equally warranted). But in (b) LEM fails because The Law of Non-Contradiction holds and not otherwise. Finally, 'a statement is neither true nor false' and 'two contradictory assertions are both false' should be equivalent ways of expressing LEM's failure. However in (a) one can express LEM's failure by means of the former expression but not the latter, whereas, on the contrary, in (b) one can express LEM's failure by means of the latter expression but not the former. These two statements of LEM's violation are not equivalent. I attribute their non-equivalence to the fact that in cases (a) LEM fails in a semantic sense, while in cases (b) it fails in an ontological sense.	en
heal.publisher	TAYLOR & FRANCIS LTD	en
heal.journalName	HISTORY AND PHILOSOPHY OF LOGIC	en
dc.identifier.isi	ISI:A1993MA95900003	en
dc.identifier.volume	14	en
dc.identifier.issue	2	en
dc.identifier.spage	183	en
dc.identifier.epage	199	en