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000823146 1001_ $$aCapecchi, Danilo.
000823146 24514 $$aThe path to post-Galilean epistemology :$$breinterpreting the birth of modern science /$$cDanilo Capecchi.
000823146 260__ $$aCham, Switzerland :$$bSpringer,$$cc2018.
000823146 300__ $$a1 online resource.
000823146 336__ $$atext$$btxt$$2rdacontent
000823146 337__ $$acomputer$$bc$$2rdamedia
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000823146 4901_ $$aHistory of mechanism and machine science,$$x1875-3442 ;$$vvolume 34
000823146 504__ $$aIncludes bibliographical references and index.
000823146 5050_ $$aPreface; Editorial Considerations; Contents; 1 Ancient Mixed Mathematics; 1.1 Epistemology of Mixed Mathematics; 1.1.1 Aristotelian Subalternate Sciences; 1.2 Geometrical Optics; 1.2.1 Euclid's Optics; 1.2.2 Further Developments; 1.3 Mechanics, Machines, and Equilibrium; 1.3.1 Aristotelian Mechanics; 1.3.2 Hellenistic Science of Equilibrium; 1.3.3 Inversion in the Role of Mathematics; 1.4 The Science of Harmonics; 1.4.1 Fundaments of Greek Harmonics; 1.4.2 Rationalist and Empiricist Theoreticians; 1.4.3 Ptolemy's Harmonica; 1.5 Observational Astronomy; 1.5.1 Astronomical Hypotheses
000823146 5058_ $$a1.5.2 Ptolemy's Astronomical System1.5.3 Astronomy According to Philosophers; 1.6 Quotations; References; 2 Skills and Mathematics in Renaissance Italy; 2.1 Teaching of Mathematics; 2.2 Treatises of Abacus; 2.2.1 Trattato di Tutta L'arte Dell'Abacho of Paolo dell'Abbaco; 2.2.2 Luca Pacioli's Summa; 2.3 Artists and Engineers; 2.3.1 Leon Battista Alberti; 2.3.2 Leonardo da Vinci; 2.4 Alchemy, Magic, and Medicine; 2.4.1 Alchemy; 2.4.2 Natural Magic; 2.4.3 Medicine; 2.5 Quotations; References; 3 New Forms of Natural Philosophy and Mixed Mathematics; 3.1 Schools of Philosophy in the Renaissance
000823146 5058_ $$a3.1.1 Humanism and Platonism3.1.2 Evolution of Aristotelianisms ; 3.2 Updating Classical Mixed Mathematics; 3.2.1 A Heated Debate of Philosophers on the Epistemology of Mixed Mathematics; 3.2.2 A Renewed Theory of Proportions; 3.2.3 Mechanical Disciplines; 3.2.4 Harmonics and Acoustics; 3.2.5 Optics: Theories of Vision and Light; 3.3 Mechanical Philosophy; 3.3.1 Early Mechanical Philosophers; 3.3.2 Mechanism and Mathematics; 3.4 The Emergence of Physico-Mathematica; 3.5 Quotations; References; 4 Galilean Epistemology; 4.1 Basic Galilean Ontology and Epistemology; 4.1.1 Definition and Essence
000823146 5058_ $$a4.2 Method of Scientific Research4.2.1 Possible Hellenistic Influence; 4.2.2 Possible Influences of Jesuit Philosophers; 4.2.3 Possible Influence of Mathematicians; 4.3 Experiment and Experience; 4.3.1 Ascertainment of Empirical Laws; 4.3.2 Overcoming Incompleteness of Mathematics; 4.3.3 Thought Experiments; 4.4 The Role of Causes; 4.4.1 Explanations Through Causes; 4.4.2 Causes and Experiments; 4.5 The Role of Disciples; 4.5.1 Bonaventura Cavalieri; 4.5.2 Evangelista Torricelli; 4.5.3 Benedetto Castelli; 4.5.4 Vincenzo Viviani; 4.6 Quotations; References
000823146 5058_ $$a5 Post-Galilean Epistemology. Experimental Physico-Mathematica5.1 Galileo's Entourage; 5.1.1 Alfonso Borelli. The Last Heir; 5.1.2 Experiments, Mathematics, and Principles of Natural Philosophy in Giovanni Battista Baliani; 5.1.3 Marin Mersenne's Universal Harmony; 5.2 Jesuitical Tradition; 5.2.1 Jesuit Epistemology; 5.2.2 Production of Experience. Giovanni Battista Riccioli; 5.2.3 Production of Experience. Fancesco Maria Grimaldi; 5.3 Experimental Philosophy; 5.3.1 The Accademia del Cimento; 5.3.2 The Royal Society; 5.3.3 Robert Boyle; 5.4 Quotations; References; 6 Concluding Remarks
000823146 506__ $$aAccess limited to authorized users.
000823146 520__ $$aThis book casts new light on the process that in the sixteenth and seventeenth centuries led to a profound transformation in the study of nature with the emergence of mechanistic philosophy, the new mixed mathematics, and the establishment of the experimental approach. It is argued that modern European science originated from Hellenistic mathematics not so much because of rediscovery of the latter but rather because its “applied” components, namely mechanics, optics, harmonics, and astronomy, and their methodologies continued to be transmitted throughout the Middle Ages without serious interruption. Furthermore, it is proposed that these “applied” components played a role in their entirety; thus, for example, “new” mechanics derived not only from “old” mechanics but also from harmonics, optics, and astronomy. Unlike other texts on the subject, the role of mathematicians is stressed over that of philosophers of nature and the focus is particularly on epistemological aspects. In exploring Galilean and post-Galilean epistemology, attention is paid to the contributions of Galileo?s disciples and also the impact of his enemies. The book will appeal to both historians of science and scientists.
000823146 650_0 $$aMathematics$$xHistory.
000823146 650_0 $$aScience$$xHistory.
000823146 77608 $$iPrint version: $$z9783319583099
000823146 830_0 $$aHistory of mechanism and machine science ;$$vv. 34.
000823146 852__ $$bebk
000823146 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-58310-5$$zOnline Access$$91397441.1
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