EAN: 9783319252360

SPRINGERBRIEFS IN PHILOSOPHY MATHEMATICS AND ...

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
Aristotle'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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