Combining Texts

All the ideas for 'Anselm and Actuality', 'The Architecture of Mathematics' and 'Rechnungsmethoden (dissertation)'

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4 ideas

4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
For modality Lewis rejected boxes and diamonds, preferring worlds, and an index for the actual one [Lewis, by Stalnaker]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Quantity is inconceivable without the idea of addition [Frege]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
From the axiomatic point of view, mathematics is a storehouse of abstract structures [Bourbaki]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Geometry appeals to intuition as the source of its axioms [Frege]