Were there ``revolutions'' in mathematics? Example from the history of mathematics in light of T. S. Kuhn's historical philosophy of science (Q2813325)

In 1962, the book of T. S. Kuhn, entitled: ``Structure of Scientific Publications'', was published. In the paper under review, it has been discussed whether or not elements of his ``historical philosophy of science'' can be applied to the mathematical sciences. This paper's author was inspired of the creation of the ten numerals and the way of methodics for the multiplication operation during the Middle Ages in Europe. We quote from the introduction: ``After presenting notions (object level and meta-level) from a very well-known example from the bibliography concerning non-Euclidean geometry and using the analysis of Zheng and Dunmore (the reader is referred here to the paper), we shall apply these notions to the field of arithmetic during the Middle Ages in Europe. Our argument focuses especially on the way we have passed from the arithmetic of pebbles, via Fibonacci and Pacioli, helped by the translation in Latin of Al-Khavarizmi's treatise, to the foundation of modern arithmetic.''NEWLINENEWLINE In Section 3, the reader will read about the ``House of Wisdom'' in Bagdad in the 8th century, about Fibonacci and his \textit{Liber abaci} (1202), Pacioli in his \textit{Summa de arithmetica} (1494), developments in Spain (10th century), Gerbert d'Aurillac (10th century), numerals, etc. Later developments up to now, are sketched also.NEWLINENEWLINE It is a nice paper from which we can learn a lot about.