By Johan van Benthem
Intensional good judgment is the technical research of such "intensional" phenomena in human reasoning as modality, wisdom, or circulate of time. those all require a richer semantic photograph than ordinary fact values in a single static surroundings. any such photograph is equipped by way of so-called "possible worlds semantics," a paradigm that's surveyed during this booklet, either as to its exterior assets of motivation and as to the inner dynamics of the ensuing application. specifically, ^IManual of Intensional Logic^R provides the key "classical" subject matters, together with modal good judgment, demanding common sense, and conditional common sense, all of which illustrate motivations coming from philosophy and linguistics. The e-book additionally discusses contemporary computational purposes in machine technology and AI. ultimately, ^IManual of Intensional Logic^R takes up fresh advancements within the examine of language and knowledge making themselves felt within the quarter. The booklet examines the function of partial information--with illustrations drawn from varied branches of Intensional Logic--and a number of impacts stemming from present theories of the semantics of ordinary language, regarding generalized quantifiers and theories of varieties.
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Extra resources for A Manual of Intensional Logic
And of course, such a change in perspective would also have important consequences for specification and design. Technical research emanating from the latter motivation has concentrated on finding good sets of primitive relations between events, generating well-behaved logical theories. (See P. Ladkin, 1987, Models of Axioms for Time Intervals, Kestrel Institute, Palo Alto; P. Ladkin and R. ) The move from classical time lines to event structures has also been made in Artificial Intelligence. The latter concept seems closer to common sense representations of time, which presumably guide our own practical thinking.
Cf. ) Moreover, its axiomatics shows what general logic governs the notion of minimal consequence, as opposed to classical consequence. Although one loses certain familiar principles, such as Monotonicity or Transitivity, others will remain, as summed up in the basic conditional logic of Chapter 3. (The validity of axiom 5 actually needs one additional assumption, viz. ) As has been pointed out by David Lewis already, the new situation often brings more subtle substitutes for lost validities. , instead of Transitivity, we still have A=> B, Af\B^-C I A^C.
This possible diversity of truth definitions (in addition to the diversity in constraints on model classes which we have encountered already) is an interesting semantic phenomenon, challenging the surely not self-evident presupposition of much recent research that unique truth conditions must be forthcoming for linguistic expressions (rather than some "range of explication"). Nevertheless, this diversity also reflects a certain difficulty in the notion of "similarity," which seems to lack a clear intuitive basis to many observers.
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