Ruminations on Vedic Philosophy

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Logic

​Why So Much Emphasis on Logic?

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) …

Computing Logic Mathematics Philosophy

Sāńkhya, Reductionism, and New Science

Many people believe modern science is reductionist and an alternative anti-reductionist science must replace it. This post discusses why Sāńkhya is reductionist—because it reduces everything to only three modes of nature (sattva, rajas, and tamas). It also discusses why Sāńkhya is anti-reductionist—because the first mode of nature in this reductionist theory (sattva) represents the whole, which …

Logic Mathematics Philosophy

The Construction of Semantic Space

This post discusses how points in a conceptual space are defined differently than in a physical space. The difference is that a physical space defines locations in relation to an origin, whereas a conceptual space defines locations in relation to a boundary. In a physical space, points are constructed through absolute proximity to a single …