The underdetermination of geometry by physical theory, emphasized by Reichenbach and Poincaré, entails that multiple inequivalent geometries can accommodate the same physical phenomena, blocking any necessityclaim about which geometry unification requires.
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# Reichenbach
Reichenbach refers to Hans Reichenbach (1891-1953), a German-American philosopher who studied how science actually works and how we should interpret probability and time. He's known for developing ideas about causation and for arguing that some aspects of physics—like whether events happen at specific moments—depend on how we choose to measure them. His work bridges philosophy and science, making him important for understanding how scientists draw conclusions from evidence.
geometry(Abstract view following the acceptance of non-Euclidean and Riemannian geometries)
Whatever can be described within the Riemannian formalism; an abstract structure defined by a consistent metric, not necessarily tied to physical or Euclidean space.
necessity claim(in logic and philosophy)
An argument that something *must* be true in all cases, not just sometimes or usually.
underdetermination(Philosophy of science; here applied (erroneously by some) to Gold's language learnability results)
The epistemic situation in which a finite body of evidence is insufficient to uniquely determine the correct theory among competing alternatives
unification(Used within condensed detachment to match premises)
The step of finding a common substitution instance of the minor premise and the antecedent of the major premise, enabling the application of the detachment rule