Talk:Modal connective/Literary theory

Literary theory
In literary and fiction theory, the concept of modal operators has been explored by Lubomir DolezelinHeterocosmica (1998), a book that articulates a complete theory of literary fiction based on the idea ofpossible worlds. Dolezel works with the concept of modalities that play the crucial role in formative operation, i.e. in shaping narrative worlds into orders that have the potential to produce stories. Based on the theories of modal logic, Dolezel introduces a set of modal systems that are appropriated for fictionalsemantics, expanding on the table used by Georg Henrik von Wright (1968).

Alethic operators in literary theory
Alethic modal operators play an important role in distinguishing a natural fictional world from the supernatural and intermediate ones. "The natural world generates stories of human condition" and such stories tend to be tragic from the very beginning, for example J.W. Goethe's The Sorrows of Young Werther. The structure of the supernatural worlds is usually revealed by the alethic modal operators (a) when they show the presence of physically impossible beings in the fictional world (gods, spirits, monsters); (b) when selected natural-world persons are granted properties and action capacities that are not available to ordinary persons of that world: becoming invisible, flying on a carpet, etc.; (c) when inanimate objects are anthropomorphized (for example the legend of Don Juan in Alexander Pushkin's The Stone Guest.) The intermediate worlds are usually represented in dreams within a fictional world.

Deontic operators in literary theory
The deontic marking of actions is the richest source of narrativity; it generates the famous triad of the fall (violations of a norm – punishment), the test (obligation fulfilled – reward), and the predicament (conflict of obligations) stories. An example in literature of a story of the fall would be Mme. De Renal, inStendhal'sLe Rouge et le Noir (1830). An example of a deontic alien in literature, a person who "exempts himself from the world's codex and follows his own principles" is Raskolnikov, the protagonist of F.M.Dostoevsky's Crime and Punishment (1866).

Axiological operators in literary theory
"Subjective abnegation of the world's axiological order generates the story of the axiological alien" of which there are two kinds – the nihilist and the axiological rebel. A nihilist negates the axiological order of the world and replaces it with a subjective axiology with a single operator: indifference. An example of the nihilist axiological alien in literature is Pechorin, the protagonist of Mikhail Lermontov'sA Hero of Our Time (1839).

Epistemic operators in literary theory
The epistemic imbalance in the fictional world of a story produces a "mystery story," which is usually the basic model of detective fiction. Epistemic code can also be perceived at the core of the Bildungsroman, where the protagonist undergoes a transformation from ignorance (of self) to knowledge (of self). An example of such transformation in German literature would be J.W. Goethe's Wilhelm Meister's Apprenticeship (1795).

Examples

 * In the alethic modal logic of C.I. Lewis, the modal operator$$\Box$$ expresses necessity: if the proposition A is read as "it is true that A holds", the proposition $$\Box$$A is read as "it is necessarily true that A holds".
 * In the tense logic (more commonly now called temporal logic) of A.N. Prior, the proposition A is read as "A is true at the present time"; F A, as "A will be true at some time in the future"; and G A, as "A is true now and will always be true".
 * The previous two examples are of unary or monadic modal operators. As an example of a dyadic modal operator—which produces a new proposition fromtwo old propositions—is the operator P in the dyadic deontic logic of G.H. von Wright. P(A,B) expresses that "A is obligatory under the circumstances B".