to small scales. Further, it is often useful to describe motor control and sensorimotor coordination in terms of external elds such as force elds and sensory images. We survey the basic concepts of eld computation, including both feed-forward eld operations and eld dynamics resulting from recurrent connections. Adaptive and learning mechanisms are discussed brie y. The application of eld computation to motor control is illustrated by several examples: external force elds associated with spinal neurons, population coding of direction in motor (...) cortex, continuous transformation of direction elds, and linear gain elds and coordinate transformations in posterior parietal cortex. Next we survey some eld-based representations of motion, including direct, Fourier, Gabor and wavelet or multiresolution representations. Finally we consider brie y the application of these representations to constraint satisfaction, which has many applications in motor control. (shrink)

In the first part of this commentary I argue that a neurophenomenological analysis of color reveals additional asymmetries that preclude undetectable color transformations, without appealing to weak arguments based on Basic Color Categories (BCCs); that is, I suggest additional factors that must be included in “an empirically accurate model of color experience,” and which break the remaining asymmetries. In the second part I discuss the “isomorphism constraint” and the extent to which we may predict the subjective quality of experience from (...) its neurological correlates. Protophenomena are discussed as a way of capturing in a relational structure all of qualitative experience except for the bare fact of subjectivity. (shrink)

In this report we develop the basic properties of a set of functions analogous to the circular and hyperbolic functions, but based on L p circles. The resulting identities may simplify analysis in L p spaces in much the way that the circular functions do in Euclidean space. In any case, they are a pleasing example of mathematical generalization.

The title of my talk, “Living Neoplatonism,” is intentionally ambiguous, for it can refer, first, to Neoplatonism as a living philosophy rather than as a historical artifact embodied in the writings of Plotinus, Proclus, and the rest. And second, it can refer to the practice of living Neoplatonically as a modern way of life. But why Neoplatonism, as opposed to some other philosophy? From my perspective as a scientist I will explain why I think Neoplatonism is especially suited to provide (...) a spiritual complement to the contemporary scientific worldview, which is otherwise materialistic in orientation and ill-equipped to deal with many peoples’ spiritual concerns. (shrink)