Combining Texts

All the ideas for 'What is so bad about Contradictions?', 'Platonistic Theories of Universals' and 'Letters to Russell'

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8 ideas

2. Reason / B. Laws of Thought / 3. Non-Contradiction

9123	Someone standing in a doorway seems to be both in and not-in the room [Priest,G, by Sorensen]

2. Reason / B. Laws of Thought / 6. Ockham's Razor

8964	Entities can be multiplied either by excessive categories, or excessive entities within a category [Hoffman/Rosenkrantz]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers

18253

I wish to go straight from cardinals to reals (as ratios), leaving out the rationals [Frege]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism

18166

The loss of my Rule V seems to make foundations for arithmetic impossible [Frege]

8. Modes of Existence / D. Universals / 4. Uninstantiated Universals

8962	'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

8961	Nominalists are motivated by Ockham's Razor and a distrust of unobservables [Hoffman/Rosenkrantz]

9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta

18269

Logical objects are extensions of concepts, or ranges of values of functions [Frege]

10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds

8963	Four theories of possible worlds: conceptualist, combinatorial, abstract, or concrete [Hoffman/Rosenkrantz]