Ideas of JP Burgess / G Rosen, by Theme

[American, fl. 1997, Both professors at Princeton University.]

green numbers give full details    |    back to list of philosophers    |     expand these ideas

---

3. Truth / H. Deflationary Truth / 2. Deflationary Truth

9921	'True' is only occasionally useful, as in 'everything Fermat believed was true'

4. Formal Logic / D. Modal Logic ML / 1. Modal Logic

9924	Modal logic gives an account of metalogical possibility, not metaphysical possibility

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets

9933	The paradoxes are only a problem for Frege; Cantor didn't assume every condition determines a set

4. Formal Logic / G. Formal Mereology / 1. Mereology

9928	Mereology implies that acceptance of entities entails acceptance of conglomerates

5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic

9926	A relation is either a set of sets of sets, or a set of sets

5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / a. Set theory paradoxes

9932	The paradoxes no longer seem crucial in critiques of set theory

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers

9923	We should talk about possible existence, rather than actual existence, of numbers

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism

9925	Structuralism and nominalism are normally rivals, but might work together

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism

9934	Number words became nouns around the time of Plato

7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete

9918	Abstract/concrete is a distinction of kind, not degree

9929	Much of what science says about concrete entities is 'abstraction-laden'

7. Existence / C. Structure of Existence / 7. Abstract/Concrete / b. Levels of abstraction

9927	Mathematics has ascended to higher and higher levels of abstraction

9930	Abstraction is on a scale, of sets, to attributes, to type-formulas, to token-formulas

18. Thought / E. Abstraction / 2. Abstracta by Selection

9919	The old debate classified representations as abstract, not entities

27. Natural Reality / C. Space / 2. Space

9922	If space is really just a force-field, then it is a physical entity