The present paper is an attempt at the investigation of the nature of polarity contrast in natural languages. Truth conditions for natural language sentences are incomplete unless they include a proper definition of the conditions under which they are false. It is argued that the tertium non datur principle of classical bivalent logical systems is empirically invalid for natural languages: falsity cannot be equated with non-truth. Lacking a direct intuition about the conditions under which a sentence is false, we need (...) an independent foundation of the concept of falsity. The solution I offer is a definition of falsity in terms of the truth of a syntactic negation of the sentence. A definition of syntactic negation is proposed for English. (shrink)

The paper takes up the objections raised in van der Auwera (1993) against the joint analysis of the German particles schon, noch and erst published in Löbner (1989). Central to my analysis is the claim that the particles are organized in duality groups of four to which essentially the same type of analysis applies. Van der Auwera (1993) claims that already/schon, in its basic use, is different from the other three particles in having a more complex meaning which results in (...) an opposition of the particle to finally/endlich. As to the narrow-focus temporal uses he argues that the duality approach is inadequate in including improper members on the one hand, and excluding relevant particles on the other.The criticism will be refuted. After a recollection of the duality analysis in Section 2, van der Auwera's arguments against the general design of my analysis are dealt with in Section 3. It will be argued that his own analysis of already/schon and its group, as far as it is supported by the data, does not really differ from my approach. In Section 4, I will deal with the claim that finally/endlich contradicts already/schon, which if correct would provide an indirect argument against the duality analysis of schon and noch. I will argue that endlich is set apart from the particles of the schon group by the presence of a non-descriptive, expressive, meaning component. For its descriptive meaning, endlich logically entails schon and belongs to a parallel duality group of its own together with noch immer. The apparent incompatibility of finally/endlich and already/schon can be explained as a conflict between what is foregrounded by each particle, respectively. In Section 5, I will argue that, contrary to van der Auwera's claims, the narrow focus uses of schon and its kin do form proper duality groups. The existence of such uses of noch, not treated in Löbner (1989), does not invalidate the duality analysis of schon and erst. Rather, noch in its relevant narrow-focus use belongs to yet another duality group together with its dual nur noch. (shrink)