Combining Texts

Ideas for 'fragments/reports', 'Foundations of Geometry' and 'Rechnungsmethoden (dissertation)'

expand these ideas     |    start again     |     choose another area for these texts

display all the ideas for this combination of texts

---

6 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry

13472

Hilbert aimed to eliminate number from geometry [Hilbert, by Hart,WD]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers

18256

Quantity is inconceivable without the idea of addition [Frege]

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry

9546	Euclid axioms concerns possibilities of construction, but Hilbert's assert the existence of objects [Hilbert, by Chihara]

18742

Hilbert's formalisation revealed implicit congruence axioms in Euclid [Hilbert, by Horsten/Pettigrew]

18217

Hilbert's geometry is interesting because it captures Euclid without using real numbers [Hilbert, by Field,H]

6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics

9831	Geometry appeals to intuition as the source of its axioms [Frege]