Foundations of Practical Reason Revisited

Two Dualisms of Practical Reason

Dualism is one way to put the traditional dualism of practical reason, i.e., that practical reason can never declare that there is greater overall reason to conform to moral, or prudential, requirements in a case of conflict between our own self-interest and our obligations to others.1 In this paper, I distinguish two methods by which one might accept Dualism. First, I discuss a substantive dua...

Infinitary Rewriting: Foundations Revisited

Infinitary Term Rewriting allows to express infinitary terms and infinitary reductions that converge to them. As their notion of transfinite reduction in general, and as binary relations in particular two concepts have been studied in the past: strongly and weakly convergent reductions, and in the last decade research has mostly focused around the former. Finitary rewriting has a strong connect...

Foundations of Symmetry Breaking Revisited

Puget’s article “On the Satisfiability of Symmetrical Constraint Satisfaction Problems” [Puget, 1993] is widely acknowledged to be one of the founding papers in symmetry breaking (see for example [Flener et al., 2006; Rossi et al., 2006; Walsh, 2006]). To date, Puget’s definition of a valid reduction seems to be the only common ground that all authors on static symmetry breaking constraints agr...

Foundations Of Quantum Theory Revisited

After giving a panoramic view of the ” text-book ” interpretation of the new quantum mechanics, as a sequel to the old quantum theory, the conceptual basis of quantum theory since the Copenhagen Interpretation is reviewed in the context of various proposals since Einstein and Niels Bohr, designed to throw light on possible new facets bearing on its foundations, the key issues to its inherent ” ...

Practical Reason and the Possibility of Error