This Element shows that Euclidean Programme (EP) embodies a traditional sort of epistemological foundationalism about mathematics. This Element is devoted to an examination of the EP. The authors propose a rational reconstruction of the EP's key principles, superior to the axiomatic method.
This Element shows that Euclidean Programme (EP) embodies a traditional sort of epistemological foundationalism about mathematics. This Element is devoted to an examination of the EP. The authors propose a rational reconstruction of the EP's key principles, superior to the axiomatic method.
1. Introduction 2. The Euclidean programme 3. Before the EP: Euclid 4. Before the EP: Aristotle 5. The EP's 17th-century apogee 6. Descriptive Axiomatisation and the EP 7. The EP assessed: core principles 8. The EP assessed: subsidiary principles 9. What should replace the EP? 10. Summary References.
1. Introduction 2. The Euclidean programme 3. Before the EP: Euclid 4. Before the EP: Aristotle 5. The EP's 17th-century apogee 6. Descriptive Axiomatisation and the EP 7. The EP assessed: core principles 8. The EP assessed: subsidiary principles 9. What should replace the EP? 10. Summary References.
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