عنوان

An Aristotelian realist philosophy of mathematics :

(Number (ISBN

1137400722

(Number (ISBN

9781137400727

Number

dltt

Title Proper

An Aristotelian realist philosophy of mathematics :

General Material Designation

[Book]

Other Title Information

mathematics as the science of quantity and structure /

First Statement of Responsibility

James Franklin

Specific Material Designation and Extent of Item

x, 308 pages :

Other Physical Details

illustrations ; 23 cm

Text of Note

Includes bibliographical references and index

Text of Note

Part I. The science of quantity and structure. The Aristotelian realist point of view -- Uninstantiated universals and 'semi-Platonist' Aristotelianism -- Elementary mathematics : the science of quantity -- Higher mathematics : science of the purely structural -- Necessary truths about reality -- The formal sciences discover the philosophers' stone -- Comparisons and objections -- Infinity -- Geometry : mathematics or empirical science? -- Part II. Knowing mathematical reality. Knowing mathematics : pattern recognition and perception of quantity and structure -- Knowing mathematics : visualization and understanding -- Knowing mathematics : proof and certainty -- Explanation in mathematics -- Idealization : an Aristotelian view -- Non-deductive logic in mathematics -- Epilogue : mathematics, last bastion of reason

0

Text of Note

"An Aristotelian Philosophy of Mathematics breaks the impasse between Platonist and nominalist views of mathematics. Neither a study of abstract objects nor a mere language or logic, mathematics is a science of real aspects of the world as much as biology is. For the first time, a philosophy of mathematics puts applied mathematics at the centre. Quantitative aspects of the world such as ratios of heights, and structural ones such as symmetry and continuity, are parts of the physical world and are objects of mathematics. Though some mathematical structures such as infinities may be too big to be realized in fact, all of them are capable of being realized. Informed by the author's background in both philosophy and mathematics, but keeping to simple examples, the book shows how infant perception of patterns is extended by visualization and proof to the vast edifice of modern pure and applied mathematical knowledge."--Page 4 of cover

Aristotle

Mathematics-- Philosophy

Number

Edition

Class number

Book number

Franklin, James,1953-

Date of Transaction

20150901112820.0

Cataloguing Rules (Descriptive Conventions))

rda

Electronic name

[Book]

Y