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NEITHER NOR STATEMENTS AND NEITHER NOR STATES

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National Technical University of Athens   

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NEITHER NOR STATEMENTS AND NEITHER NOR STATES (EN)
ANTONOPOULOS, C (EN)
journalArticle (EN)
2014-03-01T01:42:13Z
1993 (EN)
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)
Ethics (EN)
History & Philosophy Of Science (EN)
Philosophy (EN)
HISTORY AND PHILOSOPHY OF LOGIC (EN)
Αγγλική γλώσσα
TAYLOR & FRANCIS LTD (EN)
National Technical University of Athens
Digital Library of National Technical University of Athens | Dspace@NTUA
Κεντρική Βιβλιοθήκη Ε.Μ.Π.
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