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Synopsis
Kvasz's book is a contribution to the history and philosophy of mathematics, or, as one might say, the historical approach to the philosophy of mathematics. This approach is for mathematics what the history and philosophy of science is for science. Yet the historical approach to the philosophy of science appeared much earlier than the historical approach to the philosophy of mathematics. The first significant work in the history and philosophy of science is perhaps William Whewell's Philosophy of the Inductive Sciences, founded upon their History. This was originally published in 1840, a second, enlarged edition appeared in 1847, and the third edition appeared as three separate works published between 1858 and 1860. Ernst Mach's The Science of Mechanics: A Critical and Historical Account of Its Development is certainly a work of history and philosophy of science. It first appeared in 1883, and had six further editions in Mach's lifetime (1888, 1897, 1901, 1904, 1908, and 1912). Duhem's Aim and Structure of Physical Theory appeared in 1906 and had a second enlarged edition in 1914. So we can say that history and philosophy of science was a well-established field by the end of the 19th and the beginning of the 20th century. By contrast the first significant work in the history and philosophy of mathematics is Lakatos's Proofs and Refutations, which was published as a series of papers in the years 1963 and 1964."
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