22 May 2025

Nyāya Inference, Motion, and Physical Causation

Nyāya means of knowledge and the Vaiśeṣika classification and causal analysis of motion.

bsc semester-iv mj-5 indian-knowledge-system nyaya kanada motion causation

Nyāya supplies an epistemology and a discipline of inference that later became closely joined to Vaiśeṣika ontology. It asks not only what exists, but what makes a cognition warranted.

Means of valid cognition

Classical Nyāya recognizes four pramāṇas:

Inference requires more than two events occurring together. The reason or sign (hetu) must be pervaded by what is to be established through an invariant relation (vyāpti), and apparent counterexamples must be excluded. Observation supplies the cases from which that relation is warranted; reasoning applies it to the case at hand.

The familiar five-member presentation is

  1. proposition (pratijñā),
  2. reason (hetu),
  3. example expressing the universal relation (udāharaṇa),
  4. application to the present case (upanaya), and
  5. conclusion (nigamana).

A modern physical application of the form

Suppose a cart’s momentum is measured before and after a short interval and $\Delta\mathbf p\ne0$. Modern mechanics defines the impulse of the net external force by

\[\mathbf J=\int_{t_1}^{t_2}\mathbf F_{\rm ext}\,dt=\Delta\mathbf p.\]

A Nyāya-style presentation may state: the cart received nonzero external impulse; its momentum changed; systems whose momentum changes receive net external impulse under the stated boundary conditions; this measured cart has such a change; therefore the cart received nonzero external impulse.

This is a modern classroom use of the inferential form, not a claim that a Nyāya text formulated the impulse-momentum theorem. Its value is that it makes the observation, general rule, boundary conditions and conclusion explicit.

Kaṇāda’s classification of motion

Vaiśeṣika treats karma as a real category belonging to a substance. The standard fivefold classification is

\[\text{upward motion},\quad \text{downward motion},\quad \text{contraction},\quad \text{expansion},\quad \text{general locomotion}.\]

Motion changes conjunction and disjunction: a moving stone ceases to be conjoined with one region and becomes conjoined with another. Qualities such as colour do not perform this role. The classification is kinematic and ontological; it is not a vector decomposition or a set of equations of motion.

Three causal roles

The developed Nyāya-Vaiśeṣika account distinguishes:

For a physical event this scheme prevents the word “cause” from hiding different roles. The material system, its configuration and the initiating process are not the same explanatory item. Modern science adds controlled measurement, mathematical laws, uncertainty estimates and reproducibility, but the Nyāya demand that a reason be relevant and free of counterexample remains a useful logical discipline.

© Rajesh Kumar, SKMU · Physics Lecture Notes · rajeshphy.github.io

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