A work on the philosophy of logic (1980) This is an attempt to view the most basic and fundamental part of modern logic from a perspective which shares no grounds with any established schools of philosophical logic, in that the truth and falsehood as judged by means of human interventions is denied and the notion of logical dimensions is introduced. It establishes the minimum irrefutable logical structure and proceeds to found the relations between logic and geometry. The description of symmetry (...) creates and simultaneously constrains the logical structure, whereas symmetry itself can only be postulated. What really symmetry is, is a riddle of the intellect. Please think of it for at least one hour before you open this book. (shrink)

The iroha song of human concepts (2021) The iroha is a Japanese poem of a perfect pangram and isogram, containing each character of the Japanese syllabary exactly once. It also mimics an ultimate conceptual engineering, in that there is more and more restricted scope for meaningful expressions, given more and more condensed means of description. This culminates in crystallizations of human values by auto-condensations of meaningful concepts. Instead of distilling Japanese values of 11th century, I try for those of human (...) concepts, given our merging mind, language and culture. (shrink)

- How to Create Your Own Religion - This is a work on the philosophy of religion (2024) and discusses how to create a personal religion. We live in a progressively more horizontal and lonely society, driven by floods of indiscriminate information and disinformation that diminish any pretences to authority, with the socio-economic unit moving down from a family to an individual. In the democratic West people have never been freer but lack initiative to choose from wider options. As vertical (...) power structures that support anything institutional wane, combined with more and more time at our disposal thanks to AI, we may find it helpful to have a methodology of finding one’s own religion, instead of being lured into any unsavory institutional religions. -/- The shortcomings in reality are balanced by the wealth of imagination via the thin thread of a ‘miracle’ transmuted from coincidences by the duality of mind between the rational predictivity of coordinative mind and the solipsistic collapse of the coordinative centre. This is where a personal religion hides and also makes the philosophy of religion so distinct from the philosophy of psychology. (shrink)

A work on the philosophy of mathematics (2017) -/- ‘Number’, such a simple idea, and yet it fascinated and absorbed the greatest proportion of human geniuses over centuries, not to mention the likes of Pythagoras, Euclid, Newton, Leibniz, Descartes and countless maths giants like Euler, Gauss and Hilbert, etc.. Einstein thought of pure maths as the poetry of logical ideas, the exactitude of which, although independent of experience, strangely seems to benefit the study of the objects of reality. And, interestingly (...) as well as surprisingly we are nowhere near any clear understandings of numbers despite discoveries of many productive usages of numbers. This is - rightly or wrongly - a humble attempt to approach the subject from an angle hitherto unthought-of. (shrink)