An Aristotelian realist philosophy of mathematics : mathematics as the science of quantity and structure / James Franklin.
"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 math...
Saved in:
| Main Author: | |
|---|---|
| Language: | English |
| Published: |
Basingstoke, Hampshire ; New York, NY :
Palgrave Macmillan,
2014.
|
| Subjects: | |
| Physical Description: | x, 308 pages : illustrations ; 23 cm |
| Format: | Book |
Contents:
- 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.