Combining Texts

Ideas for 'Frege philosophy of mathematics', 'Sameness and Substance Renewed' and 'Reference and Reflexivity'

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37 ideas

9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
9885 The existence of abstract objects is a pseudo-problem [Dummett]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
9858 Abstract objects nowadays are those which are objective but not actual [Dummett]
9859 It is absurd to deny the Equator, on the grounds that it lacks causal powers [Dummett]
9860 'We've crossed the Equator' has truth-conditions, so accept the Equator - and it's an object [Dummett]
9. Objects / A. Existence of Objects / 2. Abstract Objects / d. Problems with abstracta
9872 Abstract objects need the context principle, since they can't be encountered directly [Dummett]
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
11900 We can accept criteria of distinctness and persistence, without making the counterfactual claims [Mackie,P on Wiggins]
11870 Activity individuates natural things, functions do artefacts, and intentions do artworks [Wiggins]
9. Objects / A. Existence of Objects / 5. Individuation / d. Individuation by haecceity
11866 The idea of 'thisness' is better expressed with designation/predication and particular/universal [Wiggins]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
11896 A sortal essence is a thing's principle of individuation [Wiggins, by Mackie,P]
15835 Wiggins's sortal essentialism rests on a thing's principle of individuation [Wiggins, by Mackie,P]
11841 The evening star is the same planet but not the same star as the morning star, since it is not a star [Wiggins]
10679 'Sortalism' says parts only compose a whole if it falls under a sort or kind [Wiggins, by Hossack]
14363 Identity a=b is only possible with some concept to give persistence and existence conditions [Wiggins, by Strawson,P]
14364 A thing is necessarily its highest sortal kind, which entails an essential constitution [Wiggins, by Strawson,P]
11851 Many predicates are purely generic, or pure determiners, rather than sortals [Wiggins]
11865 The possibility of a property needs an essential sortal concept to conceive it [Wiggins]
9. Objects / B. Unity of Objects / 3. Unity Problems / d. Coincident objects
14744 Objects can only coincide if they are of different kinds; trees can't coincide with other trees [Wiggins, by Sider]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
11852 Is the Pope's crown one crown, if it is made of many crowns? [Wiggins]
11875 Boundaries are not crucial to mountains, so they are determinate without a determinate extent [Wiggins]
9. Objects / C. Structure of Objects / 5. Composition of an Object
14749 Identity is an atemporal relation, but composition is relative to times [Wiggins, by Sider]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
11844 If I destroy an item, I do not destroy each part of it [Wiggins]
9. Objects / D. Essence of Objects / 3. Individual Essences
11861 We can forget about individual or particularized essences [Wiggins]
9. Objects / D. Essence of Objects / 8. Essence as Explanatory
11871 Essences are not explanations, but individuations [Wiggins]
9. Objects / D. Essence of Objects / 9. Essence and Properties
11879 Essentialism is best represented as a predicate-modifier: □(a exists → a is F) [Wiggins, by Mackie,P]
9. Objects / D. Essence of Objects / 13. Nominal Essence
11835 The nominal essence is the idea behind a name used for sorting [Wiggins]
9. Objects / E. Objects over Time / 4. Four-Dimensionalism
11876 It is easier to go from horses to horse-stages than from horse-stages to horses [Wiggins]
9. Objects / E. Objects over Time / 9. Ship of Theseus
11858 The question is not what gets the title 'Theseus' Ship', but what is identical with the original [Wiggins]
9. Objects / F. Identity among Objects / 1. Concept of Identity
11843 Identity over a time and at a time aren't different concepts [Wiggins]
11864 Hesperus=Hesperus, and Phosphorus=Hesperus, so necessarily Phosphorus=Hesperus [Wiggins]
9. Objects / F. Identity among Objects / 2. Defining Identity
9848 Content is replaceable if identical, so replaceability can't define identity [Dummett, by Dummett]
9842 Frege introduced criteria for identity, but thought defining identity was circular [Dummett]
11831 The formal properties of identity are reflexivity and Leibniz's Law [Wiggins]
9. Objects / F. Identity among Objects / 3. Relative Identity
14362 Relative Identity is incompatible with the Indiscernibility of Identicals [Wiggins, by Strawson,P]
11838 Relativity of Identity makes identity entirely depend on a category [Wiggins]
11847 To identify two items, we must have a common sort for them [Wiggins]
9. Objects / F. Identity among Objects / 8. Leibniz's Law
11839 Do both 'same f as' and '=' support Leibniz's Law? [Wiggins]
11845 Substitutivity, and hence most reasoning, needs Leibniz's Law [Wiggins]