Bültmann & Gerriets
Mathematics and the Mind
An Introduction into Ibn S¿n¿¿s Theory of Knowledge
von Hassan Tahiri
Verlag: Springer International Publishing
Reihe: SpringerBriefs in Philosophy
Hardcover
ISBN: 978-3-319-25236-0
Auflage: 1st ed. 2016
Erschienen am 25.11.2015
Sprache: Englisch
Format: 235 mm [H] x 155 mm [B] x 6 mm [T]
Gewicht: 149 Gramm
Umfang: 88 Seiten

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Klappentext
Inhaltsverzeichnis

This book examines how epistemology was reinvented by Ibn S¿n¿, 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 S¿n¿ to distinguish an operation of intentionality specific to the generation of numbers.
The author argues that Ibn S¿n¿¿s 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 S¿n¿¿s unprecedented investigation into the concept of the number and his criticism of such Greek thought as Platös realism, Pythagoreans¿ empiricism, and Aristotle¿s conception of existence.

Next, coverage sets out the basics of Ibn S¿n¿¿s 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 S¿n¿ 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.



Chapter 1 The Reinvention of Knowledge.- Chapter 2 Ibn S¿n¿ and the Reinvention of Epistemology.- Chapter 3 Refutation of the Greek Conception of Number.- Chapter 4 Ibn S¿n¿'s Basic Theory of Knowledge: Existence, Intentionality, Memory.- Chapter 5 The Logico-Epistemic Construction of Numbers.- Chapter 6 Concluding Remarks.


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