This book offers a new interpretation of Hermann von Helmholtz's
work on the epistemology of geometry. A detailed analysis of the
philosophical arguments of Helmholtz's Erhaltung der Kraft shows
that he took physical theories to be constrained by a regulative
ideal. They must render nature "completely comprehensible", which
implies that all physical magnitudes must be relations among
empirically given phenomena. This conviction eventually forced
Helmholtz to explain how geometry itself could be so construed.
Hyder shows how Helmholtz answered this question by drawing on the
theory of magnitudes developed in his research on the colour-space.
He argues against the dominant interpretation of Helmholtz's work
by suggesting that for the latter, it is less the inductive
character of geometry that makes it empirical, and rather the
regulative requirement that the system of natural science be
empirically closed.
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