By J. F. Scott
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Additional info for A History of Mathematics: From Antiquity to the Beginning of the Nineteenth Century
For those who have other preferences I offer the following remarks. 2. The remaining essay material is largely concerned with developing specific doctrines. 4. To all and sundry (especially students): I employ (or perhaps deploy) end notes, properly speaking, not footnotes. These are often substantial and are in pursuit of twin aims: (1) to move out from the text into the wider tapestry of issues, often attacking and qualifying as I go, while keeping the text relatively more straightforward and (2) to provide a reading background so that various themes, side issues and debates can be followed up if desired.
Subjective Pure Science . . . . . . . . . . . . Applied Science Scientific Method . . . . . . . . . . Public Policy Page 5 In this way the deeper underlying structure of what I was taught was empiricist while the immediate content often denounced empiricism. Worse, the deeper structure was often not announced, being rather 'shown' in the form of the content (which concepts were used and not, which arguments were even formulated, let alone criticized and so on). It took me some time to work my way out of this 'knot'.
One only has to look at the philosophy of Bacon, Descartes and Locke, for example, to realize that what was at stake there was nothing less than the intellectual rationalization of the triumph of reason in science over faith. The foundations for the future course of Empiricism, and later of Conventionalism, were laid here as part of the programatic attempt to comprehend and integrate the 'new' way to knowledge and the picture of man that was emerging from it, just as Instrumentalism had earlier emerged from the debate in astronomy.
A History of Mathematics: From Antiquity to the Beginning of the Nineteenth Century by J. F. Scott