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The Path to Post-Galilean Epistemology

Part of the History of Mechanism and Machine Science Book Series (volume 34)

DOI: 10.1007/978-3-319-58310-5

ISBN: 978-3-319-58309-9

Publisher: Springer International Publishing - Springer Journals

Jul 9, 2017

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Ancient Mixed Mathematics

Capecchi, Danilo

Pages: 1 –67

[Greek mixed mathematics, optics, music, astronomy, and mechanics, reached their apex in the Hellenistic era. Their logical structure was quite similar: from some premises of empirical character expressed in mathematical language, theorems were derived to be interpreted as phenomena detectable by...
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Skills and Mathematics in Renaissance Italy

Capecchi, Danilo

Pages: 69 –145

[Mixed mathematics in the early modern era began to receive new stimuli as a result of changes in society due to a different relationship, more active, of man with nature. One of the characteristics of the new development of society was the interest toward a kind of applied mathematics, known as...
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New Forms of Natural Philosophy and Mixed Mathematics

Capecchi, Danilo

Pages: 147 –259

[Between the sixteenth and seventeenth centuries natural philosophy underwent great changes. Formal and final causes were replaced by efficient causes and the world became a huge machine. Greek philosophy turned toward mechanistic philosophy, a kind of philosophy more easily digestible by...
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Galilean Epistemology

Capecchi, Danilo

Pages: 261 –351

[The role of Galileo in the history of modern science has been and will always be subject to debate. If it is not true that he invented the scientific method – it is of Hellenistic origin – based on the comparison between theory and experiment, it is true that he made a fundamental contribution...
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Post-Galilean Epistemology. Experimental Physico-Mathematica

Capecchi, Danilo

Pages: 353 –494

[After Galileo’s death in the mid-sevententh century, mixed mathematics accelerated its race to conquer all the areas of natural philosophy, with the emergence of what was called physico-mathematica. The process did not depend only on Galileo, but it was part of a long wave that started in the...
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Concluding Remarks

Capecchi, Danilo

Pages: 495 –527

[Previous chapters highlight the continuity of modern science with the Hellenistic (mixed) mathematics and changes recorded since the sixteenth century. Attention has been focused on those (mixed) mathematics that had developed in the sixteenth and seventeenth century, such as optics, astronomy,...

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