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.
The paper considers semantic structure of emotion causatives and their interaction with negation, namely, its narrow or wide scope. Emotion causatives are defined as a group of causatives with their specific semantic properties that distinguish them from other groups of causatives. One of those properties concerns their relation with corresponding decausatives, which, unlike causatives, do not license wide scope of negation. There are several factors that enable negation to have scope over the causative element in emotion causatives – their imperfective aspect, generic referential status of the causative NP phrase, agentivity and conativity of the causative. Non-agentive causatives never license the negation of the causative component. Agentive conative causatives license the negation of the causative component more frequently and easily than agentive non-conative causatives, prompting the assumption that in their semantic structures the causative component has different statuses (assertion in the former, presupposition in the latter). It also has different forms for conatives and non-conatives. Conativity vs. non-conativity of emotion causatives is related to the emotion type, with conative synthetic causatives being limited to basic emotions. The greatest degree of conativity and, hence, the assertive status of the causative component characterizes three emotion causatives – zlit’ ‘to make mad’, veselit’ ‘to cheer up’, and pugat’ ‘to frighten’.
Key words: causative, decausative, agentive, conative, intentional, presupposition, assertion, semantic structure, basic emotions
A general theory of logical oppositions is proposed by abstracting these from the Aristotelian background of quantified sentences. Opposition is a relation that goes beyond incompatibility (not being true together), and a question-answer semantics is devised to investigate the features of oppositions and opposites within a functional calculus. Finally, several theoretical problems about its applicability are considered.
We re-examine the problem of existential import by using classical predicate logic. Our problem is: How to distribute the existential import among the quantified propositions in order for all the relations of the logical square to be valid? After defining existential import and scrutinizing the available solutions, we distinguish between three possible cases: explicit import, implicit non-import, explicit negative import and formalize the propositions accordingly. Then, we examine the 16 combinations between the 8 propositions having the first two kinds of import, the third one being trivial and rule out the squares where at least one relation does not hold. This leads to the following results: (1) three squares are valid when the domain is non-empty; (2) one of them is valid even in the empty domain: the square can thus be saved in arbitrary domains and (3) the aforementioned eight propositions give rise to a cube, which contains two more (non-classical) valid squares and several hexagons. A classical solution to the problem of existential import is thus possible, without resorting to deviant systems and merely relying upon the symbolism of First-order Logic (FOL). Aristotle's system appears then as a fragment of a broader system which can be developed by using FOL.
In the article the author looks into the theoretical prospects of socialist utopia rebirth as the so called horizon line that is impossible to cross, but easy to see as if it were reachable. The author shows that post-Fordism capitalizing and alienating nonmaterial labor has become a real problem for the radical negation in the framework of neo-Marxist utopia since under such conditions any social alternative is in danger of becoming a part of the capitalist reality. Such disciplinary power of the modern capitalist logic generates rejection of the political action as it is rather than a protest. In this situation radical Marxist utopia comes down to the affective negation that cannot become a subject to reflection. Its creators and proponents do not want to find themselves in the capitalist present, aspiring in their expectations into the future that will not grow out of the modern capitalism and will never be capitalism in principle.
The paper discusses two markers of negation in Adyghe (Northwest Caucasian). It is argued that their distribution has functional rather than formal motivation.