Combining Texts

All the ideas for 'Letters to Edward Stillingfleet', 'Intro to 'The Reason's Proper Study'' and 'Metaphysics: contemporary introduction'

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16 ideas

5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / c. Grelling's paradox
If 'x is heterological' iff it does not apply to itself, then 'heterological' is heterological if it isn't heterological [Hale/Wright]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
The incompletability of formal arithmetic reveals that logic also cannot be completely characterized [Hale/Wright]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
If structures are relative, this undermines truth-value and objectivity [Hale/Wright]
The structural view of numbers doesn't fit their usage outside arithmetical contexts [Hale/Wright]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
The neo-Fregean is more optimistic than Frege about contextual definitions of numbers [Hale/Wright]
8. Modes of Existence / B. Properties / 13. Tropes / b. Critique of tropes
If abstract terms are sets of tropes, 'being a unicorn' and 'being a griffin' turn out identical [Loux]
8. Modes of Existence / D. Universals / 1. Universals
Austere nominalists insist that the realist's universals lack the requisite independent identifiability [Loux]
Universals come in hierarchies of generality [Loux]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Austere nominalism has to take a host of things (like being red, or human) as primitive [Loux]
8. Modes of Existence / E. Nominalism / 1. Nominalism / c. Nominalism about abstracta
Nominalism needs to account for abstract singular terms like 'circularity'. [Loux]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
Objects just are what singular terms refer to [Hale/Wright]
9. Objects / A. Existence of Objects / 5. Individuation / c. Individuation by location
Times and places are identified by objects, so cannot be used in a theory of object-identity [Loux]
9. Objects / D. Essence of Objects / 3. Individual Essences
Every individual thing which exists has an essence, which is its internal constitution [Locke]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
If it is knowledge, it is certain; if it isn't certain, it isn't knowledge [Locke]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
Abstracted objects are not mental creations, but depend on equivalence between given entities [Hale/Wright]
19. Language / E. Analyticity / 2. Analytic Truths
Many conceptual truths ('yellow is extended') are not analytic, as derived from logic and definitions [Hale/Wright]