We present a connectionist method for representing images that explicitly addresses their hierarchical nature. It blends data from neu-roscience about whole-object viewpoint sensitive cells in inferotem-poral cortex 7 and attentional basis-eld modulation in V4 3 with ideas about hierarchical descriptions based on microfeatures. 4, 10 The resulting model makes critical use of pathways for both a...

Often we can describe the macroscopic behaviour of systems without knowing much about the nature of the constituents of the systems let alone the states the constituents are in. Thus, we can describe the behaviour of real or ideal gases without knowing the exact velocities or places of the constituents. It suffices to know certain macroscopic quantities in order to determine other macroscopic q...

Our starting point is a simple shift in the relation of whole to parts. Normally we imagine the whole as something already there and the parts as the logical constituents. This article follows a long tradition, where the whole comes into being through the part; and the part is representative of the whole. The whole and the part are in a dynamic interaction. There is no whole without the part, a...

Recent work has defended “Euclidean” theories of set size, in which Cantor’s Principle (two sets have equally many elements if and only if there is a one-toone correspondence between them) is abandoned in favor of the Part-Whole Principle (if A is a proper subset of B then A is smaller than B). It has also been suggested that Gödel’s argument for the unique correctness of Cantor’s Principle is ...