Negation in Logic and in Natural Language  

Oleh:

Hintikka, Jaakko

Jenis: Article from Journal - ilmiah internasional
Dalam koleksi: Linguistics and Philosophy=> ada di SpringerLink 1997(vol.1) - Mutakhir; JSTOR vol. 25 no. 5/6 (Dec. 2002), page 585-600.
Fulltext: 25001865.pdf (1.91MB)

Isi artikel

In game-theoretical semantics, perfectly classical rules yield a strong negation that violates tertium non datur when informational independence is allowed. Con tradictory negation can be introduced only by a metalogical stipulation, not by game rules. Accordingly, it may occur (without further stipulations) only sentence-initially. The res ulting logic (extended independence-friendly logic) explains several regularities in natural languages, e.g., why contradictory negation is a barrier to anaphase. In natural language, contradictory negation sometimes occurs nevertheless witin the scope of a quantifier. Such sentences require a secondary interpretation resembling the so-called substitutional inter pretation of quantifiers. This interpretation is sometimes impossible, and it means a step beyond the normal first-order semantics, not an alternative to it.

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