Metaphysics and Convention in Dimensional Analysis, 1914–1917.

Autor: Jalloh, Mahmoud
Předmět:
Zdroj: HOPOS: The International Society for the History of Philosophy of Science; Fall2024, Vol. 14 Issue 2, p275-322, 48p
Abstrakt: This article recovers an important, century-old debate regarding the methodological and metaphysical foundations of dimensional analysis. Consideration of Richard Tolman's failed attempt to install the principle of similitude—the relativity of size—as the founding principle of dimensional analysis both clarifies the method of dimensional analysis and articulates two metaphysical positions regarding quantity dimensions. Tolman's position is quantity dimension fundamentalism. This is a commitment to dimensional realism and a set of fundamental dimensions that ground all further dimensions. The opposing position, developed primarily by Percy Bridgman, is quantity dimension conventionalism. Conventionalism is an antirealism regarding dimensional structure that holds our nonrepresentational dimensional systems to have basic quantity dimensions fixed only by convention. This metaphysical dispute was left somewhat unsettled. It is shown here that both of these positions face serious problems: fundamentalists are committed to surplus dimensional structure; conventionalists cannot account for empirical constraints on our dimensional systems or the empirical success of dimensional analysis. I show that an alternative position saves what is right in both: quantity dimension functionalism. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index