The superfluid state of fermion-antifermion fields developed in our previous papers is generalized to include higher orbital and spin states. In addition to single-particle excitations, the system is capable of having real and virtual bound or quasibound composite excitations which are akin to bosons of spinJ P equal to0 −, 1−, 2+, etc. These pseudoscalar, vector, and tensor bosons can be massive or massless and provide the vehicles for strong, electromagnetic, weak, and gravitational interactions. The concept that the basic (unmanifest) (...) fermion-antifermion interaction can lead to a multiplicity of manifest interactions seems to provide a basis for a unified field theory. (shrink)

A new model for the aether is suggested according to which it is a superfluid state of fermion and antifermion pairs, describable by a macroscopic wave function. The vacuum state of this superfluid pervades the entire universe and may account for the missing matter. The visible matter in the universe appears as excitations from the underlying superfluid vacuum.

Mohanty, J. N. Kalidas Bhattacharyya as a metaphysician.--Deutsch, E. On meaning.--Potter, K. Towards a conceptual scheme for Indian epistemologies.--Ganguly, S. N. Rationality versus reasonableness (freedom: a reinterpretation).--Sen, P. K. A sketch of a theory of properties and relations.--Mohanty, J. N. Perceptual consciousness.--Chattopadhyaya, D. P. Theory and practice.--Bhadra, M. K. The idea of self as purpose, an existential analysis.--Matilal, B. K. Saptabhaṅgī.--Banerjee, H. The identification of mental states and the possibility of freedom.--Chatterjee, M. A phenomenological approach to the self.--Banerjee, S. P. (...) Alienation and freedom.--Sinha, D. Cognitive language in Shahrukh. (shrink)

PART I. -- 1. The Asian, European and the American views on destiny -- 2. Biblical fulfilment of destiny -- 3. Destiny in the Ghanaian context -- 4. Mystical effects of names on destiny -- PART II. -- 5. My childhood days and primary education -- 6. My secondary education -- 7. University education -- 8. Employment after graduation, mariage life and children -- 9. Post-graduate studies at the University of Strathclyde, Glascgow, Scotland and working experience -- 10. Resignation from (...) Cocoa processing company and employment at Tema Food Complex Corportion -- 11. Appointment as the manaing director of cocoa processing company, achievements, awards and honours received -- 12. Mysterious occurrences in my life and my wife's miraculous healing -- 13. Do you believe in fasting, prayers and dreams? -- 14. Conclusion. (shrink)

It is difficult to describe this book without praising it. Collected here in one volume are some thirty-six high quality translations into English of the most important foreign-language works in mathematical logic, as well as articles and letters by Whitehead, Russell, Norbert Weiner and Post. The contents of the volume are arranged in chronological order, beginning with Frege's Begriffsschrift—translated in its entirety—and concluding with Gödel's famous "On Formally Undecidable Propositions" and Herbrand's "On the Consistency of Arithmetic". The translation of the (...) Gödel article is a small masterpiece, and is especially welcome in view of some of the rather poor efforts which have been made to render this important work into English. But this is more than a paste-pot job of anthologizing. Van Heijenoort and others have written prefaces to each of the included selections, in which are provided background historical and bibliographical information, comments on the intellectual currents which led to the production of the article, and, in many cases, a digest of the important theorems and concepts in the article itself. Each selection is a classic in its own right. In reading through the selections in this volume, one is struck by the extent to which purely mathematical problems and issues have controlled recent logical inquiry and have determined the development of various philosophies of mathematics. In the early stages, Frege and Peano were concerned with the logical reconstruction of arithmetic, and this led to the work of Russell and the logicist philosophy. Already in the development of the new logic there were certain problems which were resolved with Russell's theory of types—a device which many mathematicians felt to be rather artificial. The use of set theory, beginning with Cantor and reaching its maturity in Zermelo's 1904 proof of the well-ordering theorem, gave rise to a new set of difficulties concerning the axioms of choice, the continuum problem, and infinite sets. The two traditions are brought together in a common nexus of foundational problems by Weiner in 1914 and by Skolem's form of the Löwenheim theorem, given in 1920. Hereafter, the way is open for the rise of mathematical inquiry into the foundations of number systems, set theory and logic by Post, Skolem, von Neumann, Hilbert, Bernays, Gödel and many others. The work was far from completed by 1931, but a new and important tradition in mathematical inquiry had been established, and had come into its own. This book is, in effect, the record of an important chapter in the history of thought. No serious student of logic or foundations of mathematics will want to be without it.—H. P. K. (shrink)

An epistemic logic is built up on the basis of an analysis of two skeptical arguments. the method used is to first construct an inference relation appropriate to epistemic contexts and introduce "a knows that..." as an operator giving rise to sentences closed with respect to this new concept of inference. soundness and completeness proofs are provided using auxiliary three-valued valuations.

Uneasy times such as the present are distinguished by the extreme indeterminacy and fuzziness of the language they use. But as a rule this is veiled over, not unsuccessfully, if often unconsciously and with self-deception. The concrete examples or "figures" of linguistic expression are quite diverse: they include the reduction of the conceptual structures of language to purely verbal constructions and schemata, the uncommonly frequent use of certain words and expressions, which creates the illusion that they are clear and well (...) defined, and much, much else. (shrink)

Pluralism is on everyone's lips these days. Only lazy people do not refer to it. Politicians and authorities on political affairs are particularly eager to talk about it. Not to be left behind are scholars who broaden pluralism to a philosophical methodological position that fits best the spirit of the times and the present historical situation. Some writers view pluralism as the most important discovery of the twentieth century, a further development of the Copernican revolution in philosophy.

This paper considers a possible national cultural and scientific synthesis which failed to take place: namely the integration of the Central European theoretical physicist Erwin Schrödinger into the primarily experimental orientations of the Oxford physics of the 1930s. We also consider the effect of the Oxford social and intellectual atmosphere generally, incluing the persistence of previous traditions which undervalued Science relative to the Arts, and University research relative to tutorial provision in the Colleges. The Oxford situation is then briefly contrasted (...) to that which Schrödinger later found in Dublin between 1939 and 1956, and which was to have a significantly more productive outcome. (shrink)