TacitKnowledge

This article is a sequel to my monograph 'Inference Belief and Interpretation in Science'. It looks at the self  of an individual as a complex system and explores the roots of free will to self-linked psychological resources. The apparent conflict between free will and determinism is examined in the light of the complexity of the self-linked processes.  Click here to read

  [This book is published by Elsevier. It is an exhaustive survey of basic concepts of Optics, and is modern in approach. It captures the essential charm of physics.] Click here to read the chapter on the foundations of ray optics.

Starting from the work of Gottlob Frege and the success and failure of the logicist trend in the philosophy of mathematics, and then having a brief look at Zermelo-Frenkel set theory, I address a few basic issues in Mathematical Realism , also termed Platonism in mathematics. While prominent names in mathematics are known to have adopted the Platonist position, the latter is not free of problems of interpretation rooted deeply in our view of what mathematical truth is all about. I then counterpose the intuitionist view of mathematics against the Platonist view and briefly outline David Hilbert's project of looking for the consistency of Mathematics, aiming to reconcile the finitary approach with the Platonist point of view. This also engendered the possibility of a resolution between the realist and the intuitionist points of view, but that possibility was thwarted to a considerable extent by Goedel's incompleteness theorems. This leads to the position that different trends i

The cat has, over decades, generated fabulous interest and attention in science and literature. The way it somersaults in air remained an enigma to physicists, till a series of investigations - some not quite friendly to the cat - has thrown light on the puzzle, and the basic principles underlying the somersault are now known. The somersault needs quite sophisticated analysis to be explained in reasonably clear terms. This raises a deep question..... Click here to read