Mathematics and the Mind

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An Introduction into Ibn Sinas Theory of Knowledge, SpringerBriefs in Philosophy

ISBN: 3319252364
ISBN 13: 9783319252360
Autor: Tahiri, Hassan
Verlag: Springer Verlag GmbH
Umfang: ix, 76 S.
Erscheinungsdatum: 25.11.2015
Auflage: 1/2015
Produktform: Kartoniert
Einband: Kartoniert

Studies an overlooked area in the contemporary analytic philosophy of mathematicsReflects the recovery of an old „new“ epistemologyIs a pointer and a reminder of the gaps in the history of the development of scienceIncludes supplementary material: sn.pub/extras

Artikelnummer: 8577804 Kategorie:

Beschreibung

This book examines how epistemology was reinvented by Ibn Sina, an influential philosopher-scientist of the classical Islamic world who was known to the West by the Latinised name Avicenna. It explains his theory of knowledge in which intentionality acts as an interaction between the mind and the world. This, in turn, led Ibn Sina to distinguish an operation of intentionality specific to the generation of numbers.The author argues that Ibn Sinas transformation of philosophy is one of the major stages in the de-hellinisation movement of the Greek heritage that was set off by the advent of the Arabic-Islamic civilisation. Readers first learn about Ibn Sinas unprecedented investigation into the concept of the number and his criticism of such Greek thought as Platos realism, Pythagoreans empiricism, and Aristotles conception of existence. Next, coverage sets out the basics of Ibn Sinas theory of knowledge needed for the construction of numbers. It describes how intentionality turns out to be key in showing the ontological dependence of numbers as well as even more critical to their construction. In describing the various mental operations that make mathematical objects intentional entities, Ibn Sina developed powerful arguments and subtle analyses to show us the extent our mental life depends on intentionality. This monograph thoroughly explores the epistemic dimension of this concept, which, the author believes, can also explain the actual genesis and evolution of mathematics by the human mind.

Herstellerkennzeichnung:


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E-Mail: juergen.hartmann@springer.com

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