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Mathematics and the Mind - An Introduction into Ibn Sina's Theory of Knowledge (Paperback, 1st ed. 2016)
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Mathematics and the Mind - An Introduction into Ibn Sina's Theory of Knowledge (Paperback, 1st ed. 2016)
Series: SpringerBriefs in Philosophy
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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 Sina'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 Sina's unprecedented investigation into the concept of
the number and his criticism of such Greek thought as Plato's
realism, Pythagoreans' empiricism, and Ari stotle's conception of
existence. Next, coverage sets out the basics of Ibn Sina'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 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.
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