Combining Texts

All the ideas for 'Euthydemus', 'Structuralism and the Notion of Dependence' and 'Platonistic Theories of Universals'

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19 ideas

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 / B. Foundations for Mathematics / 7. Mathematical Structuralism / b. Varieties of structuralism
14085 'Deductivist' structuralism is just theories, with no commitment to objects, or modality [Linnebo]
14084 Non-eliminative structuralism treats mathematical objects as positions in real abstract structures [Linnebo]
14086 'Modal' structuralism studies all possible concrete models for various mathematical theories [Linnebo]
14087 'Set-theoretic' structuralism treats mathematics as various structures realised among the sets [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / d. Platonist structuralism
14089 Structuralism differs from traditional Platonism, because the objects depend ontologically on their structure [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
14083 Structuralism is right about algebra, but wrong about sets [Linnebo]
14090 In mathematical structuralism the small depends on the large, which is the opposite of physical structures [Linnebo]
7. Existence / C. Structure of Existence / 4. Ontological Dependence
14091 There may be a one-way direction of dependence among sets, and among natural numbers [Linnebo]
8. Modes of Existence / B. Properties / 4. Intrinsic Properties
14088 An 'intrinsic' property is either found in every duplicate, or exists independent of all externals [Linnebo]
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 / D. Universals / 6. Platonic Forms / b. Partaking
304 Beautiful things must be different from beauty itself, but beauty itself must be present in each of them [Plato]
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]
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]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
16120 Knowing how to achieve immortality is pointless without the knowledge how to use immortality [Plato]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge
303 Say how many teeth the other has, then count them. If you are right, we will trust your other claims [Plato]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
302 What knowledge is required to live well? [Plato]
22. Metaethics / C. The Good / 1. Goodness / e. Good as knowledge
301 Only knowledge of some sort is good [Plato]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / f. The Mean
305 Something which lies midway between two evils is better than either of them [Plato]