by W. S. F. Pickering Durkheim's sociological approach to morals and moral systems has always aroused considerable interest, be it by way of criticism or ...

Emile Durkheim is widely lauded as one of the founding fathers of modern Sociology and for his substantial contribution to the sociology of education. This set brings some of his most important writings on the subject together for the first time.

By arguing that his use of representations at the core of Durkheim's sociological thought, this book makes a unique contribution to Durkheimian studies which have recently been dominated by postivist and functionalist interpretaions, and reveals a thinker very much in tune with contemporary developments in philosophy, linguistics and sociology.

For 20th century mathematicians, the role of Cantor's sets has been that of the ideally featureless canvases on which all needed algebraic and geometrical structures can be painted. (Certain passages in Cantor's writings refer to this role.) Clearly, the resulting contradication, 'the points of such sets are distinc yet indistinguishable', should not lead to inconsistency. Indeed, the productive nature of this dialectic is made explicit by a method fruitful in other parts of mathematics (see 'Adjointness in Foundations', Dialectia 1969). This (...) role of Cantor's theory is compared with the role of Galois theory in algebraic geometry. (shrink)

Let g E(m, n)=o mean that n is the Gödel-number of the shortest derivation from E of an equation of the form (m)=k. Hao Wang suggests that the condition for general recursiveness mn(g E(m, n)=o) can be proved constructively if one can find a speedfunction s s, with s(m) bounding the number of steps for getting a value of (m), such that mn s(m) s.t. g E(m, n)=o. This idea, he thinks, yields a constructivist notion of an effectively computable function, (...) one that doesn't get us into a vicious circle since we intuitively know, to begin with, that certain proofs are constructive and certain functions effectively computable. This paper gives a broad possibility proof for the existence of such classes of effectively computable functions, with Wang's idea of effective computability generalized along a number of dimensions. (shrink)

A new English translation of Schelling’s unfinished magnum opus, complete with a contextualizing introduction by the translator.