Combining Texts

All the ideas for 'Frege on Apriority (with ps)', 'Platonistic Theories of Universals' and ''Ostrich Nominalism' or 'Mirage Realism'?'

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10 ideas

2. Reason / B. Laws of Thought / 6. Ockham's Razor
Entities can be multiplied either by excessive categories, or excessive entities within a category [Hoffman/Rosenkrantz]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
The equivalent algebra model of geometry loses some essential spatial meaning [Burge]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
Peano arithmetic requires grasping 0 as a primitive number [Burge]
8. Modes of Existence / D. Universals / 1. Universals
Realism doesn't explain 'a is F' any further by saying it is 'a has F-ness' [Devitt]
8. Modes of Existence / D. Universals / 4. Uninstantiated Universals
'There are shapes which are never exemplified' is the toughest example for nominalists [Hoffman/Rosenkrantz]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Nominalists are motivated by Ockham's Razor and a distrust of unobservables [Hoffman/Rosenkrantz]
8. Modes of Existence / E. Nominalism / 1. Nominalism / b. Nominalism about universals
The particular/universal distinction is unhelpful clutter; we should accept 'a is F' as basic [Devitt]
8. Modes of Existence / E. Nominalism / 1. Nominalism / c. Nominalism about abstracta
Quineans take predication about objects as basic, not reference to properties they may have [Devitt]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
Four theories of possible worlds: conceptualist, combinatorial, abstract, or concrete [Hoffman/Rosenkrantz]
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
Is apriority predicated mainly of truths and proofs, or of human cognition? [Burge]