Combining Texts

All the ideas for 'Subjectivist's Guide to Objective Chance', 'Letters to Russell' and 'Frege on Apriority (with ps)'

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7 ideas

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

16901

The equivalent algebra model of geometry loses some essential spatial meaning [Burge]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers

18253

I wish to go straight from cardinals to reals (as ratios), leaving out the rationals [Frege]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic

16902

Peano arithmetic requires grasping 0 as a primitive number [Burge]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism

18166

The loss of my Rule V seems to make foundations for arithmetic impossible [Frege]

9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta

18269

Logical objects are extensions of concepts, or ranges of values of functions [Frege]

12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori

16892

Is apriority predicated mainly of truths and proofs, or of human cognition? [Burge]

26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory

9425	Lewis later proposed the axioms at the intersection of the best theories (which may be few) [Mumford on Lewis]