The Non-Optimality of Scientific Knowledge: Path Dependence, Lock-In, and The Local Minimum Trap

arXiv cs.AI / 4/15/2026

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Key Points

  • The paper argues that scientific knowledge at any historical moment behaves like a local optimum rather than a global one, shaped by historical contingency and path dependence.
  • It analogizes science to gradient descent, claiming researchers collectively follow the “steepest local gradient” of tractability, empirical accessibility, and institutional incentives.
  • The authors identify three interlocking lock-in mechanisms—cognitive, formal, and institutional—that can cause science to bypass potentially superior descriptions of nature.
  • Through case studies across multiple disciplines (math, physics, chemistry, biology, neuroscience, and statistics), the paper supports the thesis with examples of how frameworks and paradigms get entrenched.
  • The paper proposes meta-scientific strategies and concrete interventions aimed at escaping local optima, with implications for the philosophy of science.

Abstract

Science is widely regarded as humanity's most reliable method for uncovering truths about the natural world. Yet the \emph{trajectory} of scientific discovery is rarely examined as an optimization problem in its own right. This paper argues that the body of scientific knowledge, at any given historical moment, represents a \emph{local optimum} rather than a global one--that the frameworks, formalisms, and paradigms through which we understand nature are substantially shaped by historical contingency, cognitive path dependence, and institutional lock-in. Drawing an analogy to gradient descent in machine learning, we propose that science follows the steepest local gradient of tractability, empirical accessibility, and institutional reward, and in doing so may bypass fundamentally superior descriptions of nature. We develop this thesis through detailed case studies spanning mathematics, physics, chemistry, biology, neuroscience, and statistical methodology. We identify three interlocking mechanisms of lock-in--cognitive, formal, and institutional--and argue that recognizing these mechanisms is a prerequisite for designing meta-scientific strategies capable of escaping local optima. We conclude by proposing concrete interventions and discussing the epistemological implications of our thesis for the philosophy of science.

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