This is a common misconception. Hindu texts actually promote rational inquiry and empirical observation through various methodologies. The Nyaya Sutra, a foundational text of Hindu logic, establishes four distinct pramanas (methods of knowledge acquisition): direct perception, inference, comparison, and testimony.
The Brihadaranyaka Upanishad [1.3.28] specifically encourages questioning and investigation through the concept of 'neti neti' (not this, not this) - a systematic method of inquiry. The scientific method's core principle of observation and verification aligns with the Vedantic approach of direct experience (anubhava).
Modern relevance can be seen in how these ancient epistemological frameworks parallel contemporary scientific methodology. For instance, the Charaka Samhita's approach to medical diagnosis demonstrates empirical observation and hypothesis testing centuries before western science formalized these methods.
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