The Resource An Aristotelian realist philosophy of mathematics : mathematics as the science of quantity and structure, James Franklin, (electronic book)
An Aristotelian realist philosophy of mathematics : mathematics as the science of quantity and structure, James Franklin, (electronic book)
Resource Information
The item An Aristotelian realist philosophy of mathematics : mathematics as the science of quantity and structure, James Franklin, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item An Aristotelian realist philosophy of mathematics : mathematics as the science of quantity and structure, James Franklin, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
 Summary
 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
 Language
 eng
 Extent
 1 online resource.
 Contents

 PART I: THE SCIENCE OF QUANTITY AND STRUCTURE
 1. The Aristotelian Realist Point of View
 2. Uninstantiated Universals and 'SemiPlatonist' Aristotelianism
 3. Elementary Mathematics: Quantity and Number
 4. Higher Mathematics: Science of the Purely Structural
 5. Necessary Truths about Reality
 6. The Formal Sciences Discover the Philosophers' Stone
 7. Comparisons and Objections
 8. Infinity
 9. Geometry: Mathematics or Empirical Science?
 PART II: KNOWING MATHEMATICAL REALITY
 10. Knowing Mathematics: Pattern Recognition and Perception of Quantity and Structure
 11. Knowing Mathematics: Visualization
 12. Knowing Mathematics: Understanding and Proof
 13. Explanation in Mathematics
 14. Idealization: An Aristotelian View
 15. NonDeductive Logic in Mathematics
 Epilogue: Mathematics, Last Bastion of Reason
 Isbn
 9781137400734
 Label
 An Aristotelian realist philosophy of mathematics : mathematics as the science of quantity and structure
 Title
 An Aristotelian realist philosophy of mathematics
 Title remainder
 mathematics as the science of quantity and structure
 Statement of responsibility
 James Franklin
 Language
 eng
 Summary
 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
 Cataloging source
 UKPGM
 http://library.link/vocab/creatorDate
 1953
 http://library.link/vocab/creatorName
 Franklin, James
 Dewey number
 510.1
 Index
 index present
 LC call number
 QA8.4
 LC item number
 .F73 2014eb
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/subjectName
 Aristotle
 Label
 An Aristotelian realist philosophy of mathematics : mathematics as the science of quantity and structure, James Franklin, (electronic book)
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier.
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent.
 Contents
 PART I: THE SCIENCE OF QUANTITY AND STRUCTURE  1. The Aristotelian Realist Point of View  2. Uninstantiated Universals and 'SemiPlatonist' Aristotelianism  3. Elementary Mathematics: Quantity and Number  4. Higher Mathematics: Science of the Purely Structural  5. Necessary Truths about Reality  6. The Formal Sciences Discover the Philosophers' Stone  7. Comparisons and Objections  8. Infinity  9. Geometry: Mathematics or Empirical Science?  PART II: KNOWING MATHEMATICAL REALITY  10. Knowing Mathematics: Pattern Recognition and Perception of Quantity and Structure  11. Knowing Mathematics: Visualization  12. Knowing Mathematics: Understanding and Proof  13. Explanation in Mathematics  14. Idealization: An Aristotelian View  15. NonDeductive Logic in Mathematics  Epilogue: Mathematics, Last Bastion of Reason
 Control code
 SPR875913794
 Dimensions
 unknown
 Extent
 1 online resource.
 File format
 unknown
 Form of item

 online
 electronic
 Isbn
 9781137400734
 Level of compression
 unknown
 Media category
 unmediated
 Media MARC source
 rdamedia.
 Media type code

 n
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Reproduction note
 Electronic resource.
 Sound
 unknown sound
 Specific material designation
 remote
 Label
 An Aristotelian realist philosophy of mathematics : mathematics as the science of quantity and structure, James Franklin, (electronic book)
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier.
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent.
 Contents
 PART I: THE SCIENCE OF QUANTITY AND STRUCTURE  1. The Aristotelian Realist Point of View  2. Uninstantiated Universals and 'SemiPlatonist' Aristotelianism  3. Elementary Mathematics: Quantity and Number  4. Higher Mathematics: Science of the Purely Structural  5. Necessary Truths about Reality  6. The Formal Sciences Discover the Philosophers' Stone  7. Comparisons and Objections  8. Infinity  9. Geometry: Mathematics or Empirical Science?  PART II: KNOWING MATHEMATICAL REALITY  10. Knowing Mathematics: Pattern Recognition and Perception of Quantity and Structure  11. Knowing Mathematics: Visualization  12. Knowing Mathematics: Understanding and Proof  13. Explanation in Mathematics  14. Idealization: An Aristotelian View  15. NonDeductive Logic in Mathematics  Epilogue: Mathematics, Last Bastion of Reason
 Control code
 SPR875913794
 Dimensions
 unknown
 Extent
 1 online resource.
 File format
 unknown
 Form of item

 online
 electronic
 Isbn
 9781137400734
 Level of compression
 unknown
 Media category
 unmediated
 Media MARC source
 rdamedia.
 Media type code

 n
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Reproduction note
 Electronic resource.
 Sound
 unknown sound
 Specific material designation
 remote
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