Epistemological Questions of Physics (1921 and 1923)

Tilman Sauer () and Ulrich Majer ()
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Tilman Sauer: Einstein Papers Project California Institute of Technology, Division of the Humanities and Social Sciences MC 20-7
Ulrich Majer: Philosophisches Seminar-Hilbert-Edition-Georg-August-Universität Göttingen

Chapter Chapter 4 in David Hilbert's Lectures on the Foundations of Physics 1915-1927, 2010, pp 375-434 from Springer

Abstract: Abstract In this Chapter, we present two sets of lecture notes by Hilbert in which he reflects on epistemological consequences of modern physics. The opening passages of both lectures set the theme in almost identical words as a reflection on the role of mathematics in the exact sciences. Indeed, both lectures cover similar ground and deal with epistemological implications of general covariance such as time-reversal invariance and the need to formulate what Hilbert calls a “principle of objectivity,” the independence from coordinates for all meaningful statements in physics. The second set of lectures takes the theme further and discusses the implications of what Hilbert called the “world equations,” i.e., the field equations of his 1915 communication on the “Foundations of Physics.” Hilbert considered the question of completeness of physical theory and introduced the concept of “accessorial” laws, arguing that in a proper sense such laws no longer exist in modern physics based on general relativity and quantum theory. This contention is discussed in its philosophical implications in an attempt to position Hilbert’s axiomatic method in distinction to Kantian apriorism and against Poincaré’s conventionalism.

Keywords: Preceding Sentence; Epistemological Question; Correction Mark; World Equation; Loose Sheet (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-68242-4_4

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DOI: 10.1007/b12915_4

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