An introduction to logic from the perspective of algebra.

The mass media of communications have often been charged with making our life more vulgar than need be. The assumption which underlies what I have to say is that the influence of unique artistic sensitivities on society has also been increased by the mass media of communications. This is good news and I am aware of the risk I am courting when I attach importance to a promising kind of social change: the academic respectability of pursuing optimistic lines of thought (...) is strictly limited in sociological circles. (shrink)

The mass media of communications have often been charged with making our life more vulgar than need be. The assumption which underlies what I have to say is that the influence of unique artistic sensitivities on society has also been increased by the mass media of communications. This is good news and I am aware of the risk I am courting when I attach importance to a promising kind of social change: the academic respectability of pursuing optimistic lines of thought (...) is strictly limited in sociological circles. (shrink)

Useful as a text for students and a reference for the more advanced mathematician, this book presents a unified treatment of that part of measure theory most useful for its application in modern analysis. Coverage includes sets and classes, measures and outer measures, Haar measure and measure and topology in groups. From the reviews: "Will serve the interested student to find his way to active and creative work in the field of Hilbert space theory." --MATHEMATICAL REVIEWS.

First published in 1999. Routledge is an imprint of Taylor & Francis, an informa company.

Ideologies of progress sprout from an inextinguishable hope that one day things will be better. Somewhere ahead life will be more abundant and there will be less pain and fear. Somewhere ahead there will be more rationality, objectivity, and truth. Somewhere ahead there will always be more love and compassion for others. Any combination of these and of other values could easily be extracted from the literature of progress. When writers begin with the thesis, ‘there is progress in the realisation (...) of values’, they assume two things. Firstly , they put forward a sociological-historical hypothesis according to which social changes proceed in a set direction and fall into some sort of sequential pattern, and secondly , they contrive to find that, on the whole, in this sequence, there is a linear increase in the realisation of some values which they regard as essential to humanity. A careful inspection of the second of these two assumptions discloses the belief that not only things will be getting better and better but people too. Those, then, who are ideologists of progress are committed to a coherent directionality not only in the betterment of circumstances but also in the betterment of people; in brief, social changes will be accompanied by changes in the ‘modal’ personality as well. (shrink)