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We could present spatially an atomic fact which contradicted the laws of physics, but not one which contradicted the laws of geometry.
Ludwig Wittgenstein
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Interpretation

What this quote means

This quote emphasizes that while physics can be defied, geometry holds a more absolute certainty in its truths.

Ludwig Wittgenstein's statement suggests that while the principles of physics are subject to change or contradiction based on new discoveries or interpretations, the axioms and truths of geometry are foundational and unchangeable in the realm of spatial reasoning. This highlights the inherent stability and reliability of geometric truths in contrast to the evolving nature of physical laws.

Themes

GeometryPhysicsTruthPhilosophySpatial Reasoning

In practice

Example use cases

In a lecture on the nature of scientific laws, this quote could illustrate the distinction between physical theories and geometric fundamentals.

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