Combining Texts

All the ideas for 'A World of States of Affairs', 'Introduction to Aesthetics' and 'Continuity and Irrational Numbers'

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10 ideas

3. Truth / C. Correspondence Truth / 1. Correspondence Truth
Correspondence may be one-many or many one, as when either p or q make 'p or q' true [Armstrong]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
We want the essence of continuity, by showing its origin in arithmetic [Dedekind]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
A cut between rational numbers creates and defines an irrational number [Dedekind]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
Arithmetic is just the consequence of counting, which is the successor operation [Dedekind]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
If x changes by less and less, it must approach a limit [Dedekind]
7. Existence / D. Theories of Reality / 7. Fictionalism
Without modality, Armstrong falls back on fictionalism to support counterfactual laws [Bird on Armstrong]
8. Modes of Existence / B. Properties / 1. Nature of Properties
Properties are contingently existing beings with multiple locations in space and time [Armstrong, by Lewis]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
The truth-maker for a truth must necessitate that truth [Armstrong]
21. Aesthetics / B. Nature of Art / 6. Art as Institution
The institutional theory says only a competent expert can decree something to be an art work [Dickie, by Gardner]
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
In recent writings, Armstrong makes a direct identification of necessitation with causation [Armstrong, by Psillos]