Explanation of the Law of Squares

Document Type

Book Section

Publication Date

8-29-2021

Publication Title

Science, Method, and Argument in Galileo

Publisher

Springer, Cham

Publisher Location

Cham, Switzerland

Volume

40

First page number:

29

Last page number:

38

Abstract

In applying the theory of explanation as understanding to the history of science, the problem of the growth of understanding is formulated. To help solve this problem, Galileo’s main scientific achievement is interpreted as a reduction of something not understood to something understood, i.e., as an instance of growth of understanding. This view is shown to deepen a number of common interpretations, and to invalidate a number of others, including the one that Galileo did not explain why bodies fall but merely described how they fall. Regarding the law of squares, my interpretation is both justified and elucidated by a detailed examination of the content and form of the literary record of Galileo’s work on that law, as found in Two New Sciences.

Controlled Subject

Galilei, Galileo, 1564-1642; Mathematics

Disciplines

Logic and Foundations of Mathematics | Philosophy of Science

Language

English

Rights

IN COPYRIGHT. For more information about this rights statement, please visit http://rightsstatements.org/vocab/InC/1.0/

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