Ruminations on Vedic Philosophy

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Mathematics Philosophy

The Invention of Zero

It is often said that Indians invented the zero, which then allowed the invention of negative numbers, complex numbers, and then modern mathematics and physics. The Roman numeral system (which followed the Greek system of counting) did not have zero. After all, zero represented “nothing”, which was purely conceptual but not physical. When zero is …

Mathematics Physics

An Illustration of Semantic Addition

As a follow-up to an earlier post, where I described how natural laws arise as a result of qualities, this post explores this idea further using an example. Since modern science grew out of the idea that matter is res extensa—i.e., that it has only one property of extension in space—this post also illustrates the …


Do Negative and Imaginary Numbers Exist?

Numbers for the greater part of history have been viewed alternately as concepts and as quantities. Now, this raises problems about many types of numbers, which include negative numbers and imaginary numbers, because these cannot be viewed as quantities although there are compelling theories that can treat them logically as concepts. In what way are …

Mathematics Religion

The Arithmetic of Concepts

In all religious philosophies, God is the original person, Who creates all else. If we were to count things, then God would represent 1. In Vedic philosophy, additionally, all that is created is also a part of God, Who is then described as the complete truth. In effect, since God is the complete truth, everything …

Logic Mathematics Philosophy

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 …