Combining Texts
Ideas for
'Thinking About Mathematics', 'The Question of Ontology' and 'Clarification and Defense of Grounding'
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16 ideas
7. Existence / A. Nature of Existence / 1. Nature of Existence
12214
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'Exists' is a predicate, not a quantifier; 'electrons exist' is like 'electrons spin' [Fine,K]
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7. Existence / A. Nature of Existence / 4. Abstract Existence
12212
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Just as we introduced complex numbers, so we introduced sums and temporal parts [Fine,K]
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7. Existence / A. Nature of Existence / 6. Criterion for Existence
12216
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Real objects are those which figure in the facts that constitute reality [Fine,K]
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12218
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Being real and being fundamental are separate; Thales's water might be real and divisible [Fine,K]
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7. Existence / C. Structure of Existence / 1. Grounding / a. Nature of grounding
17292
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Avoid 'in virtue of' for grounding, since it might imply a reflexive relation such as identity [Audi,P]
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17295
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Ground relations depend on the properties [Audi,P]
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17297
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A ball's being spherical non-causally determines its power to roll [Audi,P]
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17302
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Ground is irreflexive, asymmetric, transitive, non-monotonic etc. [Audi,P]
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17303
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The best critique of grounding says it is actually either identity or elimination [Audi,P]
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7. Existence / C. Structure of Existence / 1. Grounding / b. Relata of grounding
17294
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Grounding is a singular relation between worldly facts [Audi,P]
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17300
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If grounding relates facts, properties must be included, as well as objects [Audi,P]
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7. Existence / C. Structure of Existence / 1. Grounding / c. Grounding and explanation
17296
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We must accept grounding, for our important explanations [Audi,P]
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7. Existence / C. Structure of Existence / 1. Grounding / d. Grounding and reduction
17301
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Reduction is just identity, so the two things are the same fact, so reduction isn't grounding [Audi,P]
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7. Existence / D. Theories of Reality / 1. Ontologies
12217
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For ontology we need, not internal or external views, but a view from outside reality [Fine,K]
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7. Existence / D. Theories of Reality / 8. Facts / b. Types of fact
17293
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Worldly facts are obtaining states of affairs, with constituents; conceptual facts also depend on concepts [Audi,P]
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7. Existence / D. Theories of Reality / 11. Ontological Commitment / b. Commitment of quantifiers
12213
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Ontological claims are often universal, and not a matter of existential quantification [Fine,K]
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