Coverart for item
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)

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
Creator
Subject
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
Member of
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)
Instantiates
Publication
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 'Semi-Platonist' 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. Non-Deductive 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)
Publication
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 'Semi-Platonist' 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. Non-Deductive 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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