Interpretation of the classics in political theory seems to go in waves. For a while we had John Locke, the bourgeois thinker. Now we seem to be in a Locke-as-radical-democrat phase. Locke-the-bourgeois had problems of its own, but a radically democratic Locke -- not just the old Locke as liberal democrat but Locke as quasi-Leveller -- strains the interpretative imagination more than most; yet in recent years, several different kinds of argument have been advanced in support of it, both textual (...) and contextual. The most effective argument has proceeded by situating Locke in the context of radical Whig politics in the 1670s and '80s, the struggles over religious toleration and the royal succession, in particular the �Exclusion Crisis� of 1679-81. This contextual argument has been accompanied by various textual interpretations having to do with Locke's conceptions of property, consent, representation, the right of revolution and natural law. Among other things, these are supposed to show that while Locke had nothing explicit to say about the extent of the franchise, the weight of evidence suggests that he would have supported a fairly wide franchise, perhaps even something like the (almost) manhood suffrage advocated by the Levellers (at least according to some, and probably the most convincing, interpretations of their ideas). Most recently, in these pages, Martin Hughes, building on the work of James Tully and Richard Ashcraft in particular, has pushed the argument as far as it can probably go. His argument on taxation and suffrage has provided a motivation here for a wider exploration of Locke's views on representation, consent and the franchise. (shrink)

Some theorists, worried about liberalism’s potential as a foundation for public health ethics, suggest that republicanism provides a better background of justification for public health policies, interventions, etc. In this article, this suggestion is put to the test, and it is argued that (i) contemporary (civic) republicanism and liberalism are not nearly as opposed as it is sometimes suggested, and that (ii) the kind of republicanism which one leading scholar in the field, Bruce Jennings, as an alternative to liberalism, does (...) not reflect the contemporary understanding of republicanism as held by, e.g. Phillip Pettit et al. (shrink)

The Birkhoff-Maltsev problem asks for a characterization of those lattices each of which is isomorphic to the lattice L(K) of all subquasivarieties for some quasivariety K of algebraic systems. The current status of this problem, which is still open, is discussed. Various unsolved questions that are related to the Birkhoff-Maltsev problem are also considered, including ones that stem from the theory of propositional logics.

Provability, Computability and Reflection.

We argue that on logical grounds the constructivist algorithms mentioned by Quartz & Sejnowski (Q&S) do not resolve the learning paradox. In contrast, a neural network might acquire a more powerful structure by means of phase transitions. The latter kind of developmental mechanism can be in agreement with the constructivist manifesto.

In this paper, logics are conceived as two-sorted first-order structures, and we argue that this broad definition encompasses a wide class of logics with theoretical interest as well as interest from the point of view of applications. The language, concepts and methods of model theory can thus be used to describe the relationship between logics through morphisms of structures called transfers. This leads to a formal framework for studying several properties of abstract logics and their attributes such as consequence operator, (...) syntactical structure, and internal transformations. In particular, we treat Belief Revision Systems (BRS) as our main example, defining the Wide Belief Revision Systems (WBRS''s). This generalization allows us to define BRS''s in an abstract setting for classical and non-standard logics. We also show how the concept of translation between logics can be obtained as a particular case of transfers. (shrink)

In 2001, Le Bars proved that there exists an existential monadic second-order sentence such that the probability that it is true on [Formula: see text] does not converge and conjectured that, for EMSO sentences with two first-order variables, the zero–one law holds. In this paper, we prove that the conjecture fails for [Formula: see text], and give new examples of sentences with fewer variables without convergence.

We show that the analysis of Keisler’s order can be localized to the study of φ-types. Specifically, if is a regular ultrafilter on λ such that and M is a model whose theory is countable, then is λ+-saturated iff it realizes all φ-types of size λ.

Taxometric analyses were applied to the construct of psychopathy (as measured by the Psychopathy Checklist) and to several variables reflecting antisocial childhood, adult criminality, and criminal recidivism. Subjects were 653 serious offenders assessed or treated in a maximum-security institution. Results supported the existence of a taxon underlying psychopathy. Childhood problem behaviors provided convergent evidence for the existence of the taxon. Adult criminal history variables were continuously distributed and were insufficient in themselves to detect the taxon.