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Ideas for 'Frege philosophy of mathematics', 'Physiologia' and 'Structuralism Reconsidered'

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8 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 / C. Structure of Objects / 4. Quantity of an Object

16674

The quantity is just the matter, in that it has extended parts and is diffuse [Charleton]

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]