Analyzes the meaning expressed in music, the social and psychological sources of meaning, and the methods of musical communication This is a book meant for ...

The universality, invariance, and elegance of principles governing the universe may be reflected in principles of the minds that have evolved in that universe – provided that the mental principles are formulated with respect to the abstract spaces appropriate for the representation of biologically significant objects and their properties. (1) Positions and motions of objects conserve their shapes in the geometrically fullest and simplest way when represented as points and connecting geodesic paths in the six-dimensional manifold jointly determined by the (...) Euclidean group of three-dimensional space and the symmetry group of each object. (2) Colors of objects attain constancy when represented as points in a three-dimensional vector space in which each variation in natural illumination is canceled by application of its inverse from the three-dimensional linear group of terrestrial transformations of the invariant solar source. (3) Kinds of objects support optimal generalization and categorization when represented, in an evolutionarily-shaped space of possible objects, as connected regions with associated weights determined by Bayesian revision of maximum-entropy priors. Key Words: apparent motion; Bayesian inference; cognition; color constancy; generalization; mental rotation; perception; psychological laws; psychological space; universal laws. (shrink)

The distinction between bottom-up and top-down control of action has been central in cognitive psychology, and, subsequently, in functional neuroimaging. While the model has proven successful in describing central mechanisms in cognitive experiments, it has serious shortcomings in explaining how top-down control is established. In particular, questions as to what is at the top in top-down control lead us to a controlling homunculus located in a mythical brain region with outputs and no inputs. Based on a discussion of recent brain (...) imaging experiments, we argue for the need to factor the interaction between the experimenter and the experimental participant into a realistic understanding of top-down control. We suggest these interactions involve a ‘sharing of scripts’ for perception and action that may be described as ‘top-top processes.’ We thereby expand the understanding of the homunculus to include elements of social cognition. This conceptual reconfiguration may grant some sort of asylum for a—not very omnipotent—homunculus. (shrink)

This handbook for advanced students explains the various applications to music of methods derived from linguistics and semiotics. The book is aimed at musicians familiar with the ordinary range of aesthetic and theoretical ideas in music; no specialized knowledge of linguistic or semiotic terminology is necessary. In the two introductory chapters, semiotics is related to the tradition of music aesthetics and to well-known works like Deryck Cooke's The Language of Music, and the methods of linguistics are explained in language intelligible (...) to musicians. There is no limitation to one school or tradition; linguistic applications not avowedly semiotic, and semiotic theories not connected with linguistics, are all included. The book gives clear and simple descriptions with ample diagrams and music examples of the 'neutral level', 'semiotic analysis', transformation and generation, structural semantics and narrative grammar, intonation theory, the ideas of C.S. Peirce, and applications in ethnomusicology. (shrink)