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Regular version of the site

Book chapter

On negating

P. 256-291.

A general theory of negation is suggested within the framework of algebraic opposition, where negation is characterized as a difference-forming operator. A theory of meaning is also proposed to motivate the variety of negations: it is a Question-Answer Semantics (thereafter: QAS), i.e. a non-Fregean semantics that underlies the resulting Boolean calculus of oppositions between objects while assu-
ming that every meaningful object has a logical value (beyond the sole sentences).

After reviewing a number of philosophical puzzles about negation, the logical framework is described and applied to solve the previous difficulties. Three Appendices are supplemented to give some details about the technical results of QAS, with a special attention to the linguistic forms of negation and their logical analysis as opposite-forming operators.