Satya and Asteya: Truth and Non-Stealing in Mathematical Reasoning

Patanjali's yama (ethical restraints) include satya (truthfulness) and asteya (non-stealing), principles that reveal mathematics as fundamentally a practice of honesty. Mathematical thinking cannot tolerate deception: a false premise invalidates the entire structure, a stolen idea without attribution corrupts the knowledge base, and wishful thinking cannot substitute for rigorous proof. Where language and narrative allow for ambiguity and interpretation, mathematics demands brutal clarity. Satya in mathematical practice means representing problems accurately, acknowledging assumptions explicitly, and following logic wherever it leads, even to uncomfortable conclusions. Asteya reminds mathematicians that all knowledge builds on prior discoveries; intellectual integrity requires proper attribution and recognition of predecessors' contributions. These principles explain why mathematics functions as a universal language: it operates according to non-negotiable standards of honesty that transcend cultural preference. A mathematical statement is either true or false regardless of who proves it or where they prove it. Patanjali's ethical framework shows that mathematical thinking isn't merely technical but a profound expression of commitment to truth itself.