Combining Texts

All the ideas for 'Tropes', 'Grundgesetze der Arithmetik 2 (Basic Laws)' and 'Commentary on the Metaphysics'

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20 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
11193 Understanding begins with the notion of being and essence [Avicenna]
2. Reason / D. Definition / 2. Aims of Definition
13886 Later Frege held that definitions must fix a function's value for every possible argument [Frege, by Wright,C]
2. Reason / D. Definition / 7. Contextual Definition
9845 We can't define a word by defining an expression containing it, as the remaining parts are a problem [Frege]
2. Reason / D. Definition / 11. Ostensive Definition
10019 Only what is logically complex can be defined; what is simple must be pointed to [Frege]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
9886 Cardinals say how many, and reals give measurements compared to a unit quantity [Frege]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
9889 Real numbers are ratios of quantities [Frege, by Dummett]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
10553 A number is a class of classes of the same cardinality [Frege, by Dummett]
10020 Frege's biggest error is in not accounting for the senses of number terms [Hodes on Frege]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
9887 Formalism misunderstands applications, metatheory, and infinity [Frege, by Dummett]
8751 Only applicability raises arithmetic from a game to a science [Frege]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
10467 Individuals consist of 'compresent' tropes [Bacon,John]
10464 A trope is a bit of a property or relation (not an exemplification or a quality) [Bacon,John]
10465 Trope theory is ontologically parsimonious, with possibly only one-category [Bacon,John]
9. Objects / A. Existence of Objects / 5. Simples
11209 The simple's whatness is its very self [Avicenna]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
9891 The first demand of logic is of a sharp boundary [Frege]
9. Objects / C. Structure of Objects / 3. Matter of an Object
11204 The ultimate material of things has the unity of total formlessness [Avicenna]
9. Objects / D. Essence of Objects / 2. Types of Essence
15036 An essence can either be universal (in the mind) or singular (in concrete particulars) [Avicenna, by Panaccio]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
10466 Maybe possible worlds are just sets of possible tropes [Bacon,John]
18. Thought / E. Abstraction / 3. Abstracta by Ignoring
9890 The modern account of real numbers detaches a ratio from its geometrical origins [Frege]
18. Thought / E. Abstraction / 8. Abstractionism Critique
11846 If we abstract the difference between two houses, they don't become the same house [Frege]