B. R. George

This book examines the underlying theoretical issues concerning the nature of political freedom. Arguing that most previous discussions of such freedom have been too narrowly focused, it explores both conservativism from Edmund Burke to its present resurgence, the radical tradition of Karl Marx, as well as the orthodox liberal model of freedom of John Locke, John Stuart Mill and Isaiah Berlin. _Political Freedom_ argues that these three accounts of political freedom - conservative, liberal and radical - all have internal weaknesses which render them unsatisfactory. In the second part of the book George Brenkert develops an alternative theory of political freedom. Using the guiding concept of empowerment, his model explores individual rights, democratic participation in government and workplace, and the need to provide the material and educational resources to allow individuals to effectively exercise their rights to self-determination. It is a clear and bold attack on the view that there is no link between freedom and power.

Two thoughts about the concept of number are incompatible: that any zero or more things have a number, and that any zero or more things have a number only if they are the members of some one set. It is Russell's paradox that shows the thoughts incompatible: the sets that are not members of themselves cannot be the members of any one set. The thought that any things have a number is Frege's; the thought that things have a number only if they are the members of a set may be Cantor's and is in any case a commonplace of the usual contemporary presentations of the set theory that originated with Cantor and has become ZFC.In recent years a number of authors have examined Frege's accounts of arithmetic with a view to extracting an interesting subtheory from Frege's formal system, whose inconsistency, as is well known, was demonstrated by Russell. These accounts are contained in Frege's formal treatise Grundgesetze der Arithmetik and his earlier exoteric book Die Grundlagen der Arithmetik. We may describe the two central results of the recent re-evaluation of his work in the following way: Let Frege arithmetic be the result of adjoining to full axiomatic second-order logic a suitable formalization of the statement that the Fs and the Gs have the same number if and only if the F sand the Gs are equinumerous.