A consideration of Mach's elements, his philosophy of neutral monism, and philosophy of physics, especially space and time, much of it based on unpublished writings from the Nachlass and other original sources. The historical connection between Mach and logical positivism is shown to be superficial at best, and Mach's elements are shown to be mind independent natural qualities (world-elements) with dynamic force, not limited to human sensations.

The posterior parietal cortex (PPC) is the most likely site where egocentric spatial relationships are represented in the brain. PPC cells receive visual, auditory, somaesthetic, and vestibular sensory inputs; oculomotor, head, limb, and body motor signals; and strong motivational projections from the limbic system. Their discharge increases not only when an animal moves towards a sensory target, but also when it directs its attention to it. PPC lesions have the opposite effect: sensory inattention and neglect. The PPC does not seem (...) to contain a “map” of the location of objects in space but a distributed neural network for transforming one set of sensory vectors into other sensory reference frames or into various motor coordinate systems. Which set of transformation rules is used probably depends on attention, which selectively enhances the synapses needed for making a particular sensory comparison or aiming a particular movement. (shrink)

This dissertation studies Mach's world-elements and his reduction of space and time to unextended intensities. The elements included not just human sensations, but mind-independent physical qualities in matter. Influenced by J. F. Herbart, Bernhard Riemann and Hermann von Helmholtz, Mach strove to develop a construction of space from these qualities. The study follows these ideas from Mach's intellectual struggles of the 1860s to his late writings, and relies upon extensive extracts from his scientific notebooks and other original documents.