This volume offers a guided tour of modern mathematics' Garden of Eden, beginning with perspectives on the finite universe and classes and Aristotelian logic. Author Mary Tiles further examines permut
This is the first critically evaluative study of Gaston Bachelard's philosophy of science to be written in English. Bachelard's professional reputation was based on his philosophy of science, though that aspect of his thought has tended to be neglected by his English-speaking readers. Dr Tiles concentrates here on Bachelard's critique of scientific knowledge. Bachelard emphasised discontinuities in the history of science; in particular he stressed the ways of thinking about and investigating the world to be found in modern science. This, as the author shows, is paralleled by those debates among English-speaking philosophers about the rationality of science and the 'incommensurability' of different theories. To these problems Bachelard might be taken as offering an original solution: rather than see discontinuities as a threat to the objectivity of science, see them as products of the rational advancement of scientific knowledge. Dr Tiles sets out Bachelard's views and critically
Technology is no longer confined to the laboratory but has become an established part of our daily lives. Its sophistication offers us power beyond our human capacity which can either dazzle or threat