Storrs McCall

In his paper ‘‘Bad luck once again’’ Neil Levy attacks our proof of the consistency of libertarianism by reiterating a time-worn compatibilist complaint.1 This is, that what is not determined must be due to chance. If A has a choice of X or Y, neither X nor Y being causally determined, then if A chooses X it can only be by chance, never for a reason. The only ‘‘reason’’ that could explain the choice of X over Y would have to be a causally sufficient reason, which would rule out A’s having a genuine choice in the first place. Either X is causally necessitated or X is realized by sheer luck. But that these are the only alternatives is untrue. The exercise of deliberative reason opens the way between the Scylla of causal necessitation and the Charybdis of chance, as we shall try to make clear. The central core of Levy’s argument is that any attempt to give a reasons-based explanation of a contrastive fact must fail. A contrastive fact is a fact of the kind ‘‘Jane decides to vacation in Hawaii rather than Colorado,’’ or ‘‘Jane assigns a greater weight to surfing that to white-water rafting.’’ In the last three paragraphs of his paper Levy argues that Jane’s assigning more weight to surfing than to rafting cannot be a reasons-based assignment, because, as he puts it, ‘‘the reasons that would explain the weighting are the weighted reasons themselves.’’ Similarly, prior to making her Hawaii⁄ Colorado decision, Jane has..

The aim of the paper is to prove the consistency of libertarianism. We examine the example of Jane, who deliberates at length over whether to vacation in Colorado (C) or Hawaii (H), weighing the costs and benefits, consulting travel brochures, etc. Underlying phenomenological deliberation is an indeterministic neural process in which nonactual motor neural states n(C) and n(H) corresponding to alternatives C and H remain physically possible up until the moment of decision. The neurophysiological probabilities pr(n(C)) and pr(n(H)) evolve continuously according to the different weights Jane's judgement attaches to C and H at different times during the deliberation. The overall process is indeterministic, since Jane's exact judgemental weighting would vary slightly were the process to be repeated from the same initial conditions. The weighting is however rational, and entirely under Jane's control. This controlled, rational, indeterministic process shows that libertarianism is a consistent philosophical thesis

The aim of the paper is to prove the consistency of libertarianism. We examine the example of Jane, who deliberates at length over whether to vacation in Colorado (C) or Hawaii (H), weighing the costs and benefits, consulting travel brochures, etc. Underlying phenomenological deliberation is an indeterministic neural process in which nonactual motor neural states n(C) and n(H) corresponding to alternatives C and H remain physically possible up until the moment of decision. The neurophysiological probabilities pr(n(C)) and pr(n(H)) evolve continuously according to the different weights Jane's judgement attaches to C and H at different times during the deliberation. The overall process is indeterministic, since Jane's exact judgemental weighting would vary slightly were the process to be repeated from the same initial conditions. The weighting is however rational, and entirely under Jane's control. This controlled, rational, indeterministic process shows that libertarianism is a consistent philosophical thesis.

The basis of a rigorous formal axiomatization of quantum mechanics is constructed, built upon Dirac's bra-ket notation. The system is three-sorted, with separate variables for scalars, vectors and operators. First-order quantification over all three types of variable is permitted. Economy in the axioms is effected by, e.g., assigning a single logical function * to transform (i) a scalar into its complex conjugate, (ii) a ket vector into a bra and a bra into a ket, (iii) an operator into its adjoint. The system is accompanied by a formal semantics. Further papers will deal with vector subspaces and projection operators, operators with continuous spectra, tensor products, observables, and quantum mechanical probabilities

The thesis of 3D/4D equivalence states that every three-dimensional description of the world is translatable without remainder into a four-dimensional description, and vice versa. In representing an object in 3D or in 4D terms we are giving alternative descriptions of one and the same thing, and debates over whether the ontology of the physical world is "really" 3D or 4D are pointless. The twins paradox is shown to rest, in relativistic 4D geometry, on a reversed law of triangle inequality. But considering the twins as 3D beings who age through time, the paradox implies that time passes at different rates in different reference frames, and therefore that the concept of a single global or Absolute time is unsustainable