Remarks on Quasi-Equilibrium Theory

Logical and Philosophical Remarks on Quasi-Set Theory

Quasi-set theory is a theory for dealing with collections of indistinguishable objects. In this paper we discuss some logical and philosophical questions involved with such a theory. The analysis of these questions enable us to provide the first grounds of a possible new view of physical reality, founded on an ontology of non-individuals, to which quasi-set theory may constitute the logical basis.

Remarks on Binding Theory

We propose some reformulations of binding principle A that build on recent work by Pollard and Xue, and by Runner et al. We then turn to the thorny issue of the status of indices, in connection with the seemingly simpler Principle B. We conclude that the notion of index is fundamentally incoherent, and suggest some possible approaches to eliminating them as theoretical primitives. One possibili...

Quasi-Equilibrium Theory of Ionic Fragmentation: Further Considerations

A recent reformulation o f quasi-equilibrium theory is ex tended to several additional classes o f ionic decomposit ions . Formulae for calculating average translational and rotational energies o f the fragments are presented, and kinematic corrections to the formulas are introduced. I l lustrative calculations are compared with experiment, and the interesting possibil ity o f m a x i m a in ra...

Remarks on Classical Invariant Theory

A uniform formulation, applying to all classical groups simultaneously, of the First Fundamental Theory of Classical Invariant Theory is given in terms of the Weyl algebra. The formulation also allows skew-symmetric as well as symmetric variables. Examples illustrate the scope of this formulation.

Remarks on Formal Knot Theory