There is a widespread myth that all questions must be answered. Practical experience, however, shows that most questions go unanswered. Then the cynic says: Truth cannot be known. In this post, I will analyze this myth, to update it to something precise: All good questions can be answered and there is no answer to bad …
Logic
Quantity and Quality Notions of Truth
What is truth? Some people say that truth means existence. If a tree exists, then it is true. But it also means that if you think that the tree doesn’t exist, that thought is also true, because your thought exists. To allow for the distinction between truth and existence, we have to invoke meanings. The …
The Laws of Nature in Vedic Philosophy
Modern science uses two kinds of laws—these are called “conservation laws” and “predictive laws”. A conservation law states what cannot happen, and a predictive law states what must happen. For example, the law of conservation of energy says that if two particles collide then the sum of their energies cannot increase or decrease. The conservation …
The Nyāya Philosophy of Presence and Absence
The Nyāya system of philosophy describes a category called abhāva or ‘absence’ and then explains how bhāva or ‘presence’ manifests from the absence. This is a very long discussion in Nyāya Sutra (which I’m translating presently) and has many nuances. It is hard to capture all these details here, but I thought that instead of …
The Nyāya Conception of a Scientific Theory
Below is the translation and commentary on some of the Nyāya Sutras, which describe the nature of a scientific theory as comprised of four aspects. The first aspect represents the purpose of the system; the second, the functional parts that execute this purpose; the third, a mechanism of control that translates the purpose into functional …
Mathematical Novelties in Vedic Philosophy
This is the transcript of the eighth episode of my podcast. In this episode, we talk about a number of unique problems that arise in trying to make Vedic philosophy more rigorous in a logical and mathematical sense. I have been presenting some of these ideas while discussing the theories of creation, cosmology, linguistics, the …
The Sāńkhya Theory of Five Elements
This post elaborates on the Sāńkhya theory of the five “gross” elements. The theory is rather complicated, and not well-understood today. One primary source of confusions is a comparison between the Sāńkhya elements and the Greek elements going by the same name. This post will hopefully illustrate how the Sāńkhya elements are deeply enmeshed with …
The Paradox of Natural Laws and Its Resolution
In an earlier post, I described the problem of computing in nature, namely that scientific laws employ mathematical formulae, but it is not clear how these formulae are being calculated in nature. The reasons for this are historical and date back to Newton’s formulation of the three laws of motion. While Newton had produced mechanics, …
Reasoning and Semantic Computation
Since the advent of computers, it has been widely believed that the human mind is just like a computer. I have previously described why this is a false analogy due to two problems: (1) the problem of meaning, and (2) the problem of choice. I have also discussed the problem of meaning in computing theory …