Mathematics and the Mind: An Introduction Into Ibn Sa Na's Theory Of Knowledge by hassan tahiriMathematics and the Mind: An Introduction Into Ibn Sa Na's Theory Of Knowledge by hassan tahiri

Mathematics and the Mind: An Introduction Into Ibn Sa Na's Theory Of Knowledge

byhassan tahiri

Paperback | November 25, 2015

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This book examines how epistemology was reinvented by Ibn SÄ«nÄ, 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 SÄ«nÄ to distinguish an operation of intentionality specific to the generation of numbers.

The author argues that Ibn SÄ«nÄ'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 SÄ«nÄ'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 SÄ«nÄ'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 SÄ«nÄ 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.

Title:Mathematics and the Mind: An Introduction Into Ibn Sa Na's Theory Of KnowledgeFormat:PaperbackDimensions:76 pagesPublished:November 25, 2015Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3319252364

ISBN - 13:9783319252360

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Table of Contents

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