There are many ways to demonstrate the problems of logic, set theory, and Gödel’s incompleteness. They are all different ways to look at the problem, to become convinced that there is a problem. One such way is the statement “God has many names”. These names are not synonymous. By assigning various names to God, we describe Him in many non-synonymous ways....
All physical analogies fail to correctly describe Bhedābheda philosophy. One such analogy is a drop in an ocean. The Bhedābheda proponent says: The drop is distinct from the ocean and yet one with it. The reductionist’s counter to that claim is that if you remove all the drops, there will be no ocean; hence the ocean is a fictional construct reducible...
Most people at present assume that religion is independent of logic. They insist that claims of religion must be “logical”—i.e., follow the principles of identity, non-contradiction, and excluded middle. This attitude is predominantly Western because alternative logical systems have either been formalized (e.g., in Buddhism and Jainism) or used informally (e.g., in Zen and Taoism) in Eastern philosophy. Nyāya, as one...
If we make a claim, its rationality can be judged by checking its consistency against our assumptions. Reasoning is the connection between my claim and my assumptions. If my claim is consistent with my assumptions, then it is well-reasoned. It may still not be true. To establish the truth, we must prove that my assumptions can explain all the available evidence....
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 questions. A bad question is based...
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 thought that the tree doesn’t exist...
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 of energy law doesn’t say what...
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 waiting for the book to be...
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 activities; and fourth, a system that...
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 nature of space and time, etc....
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 a model of perception and a...
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, he had not himself envisioned machines....
