Combining Texts

All the ideas for 'Precis of 'Limits of Abstraction'', 'On Multiplying Entities' and 'Transworld Identity or worldbound Individuals?'

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15 ideas

2. Reason / B. Laws of Thought / 6. Ockham's Razor
In arithmetic, ratios, negatives, irrationals and imaginaries were created in order to generalise [Quine]
The quest for simplicity drove scientists to posit new entities, such as molecules in gases [Quine]
2. Reason / D. Definition / 2. Aims of Definition
Definitions concern how we should speak, not how things are [Fine,K]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K]
Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K]
7. Existence / B. Change in Existence / 4. Events / c. Reduction of events
Explaining events just by bodies can't explain two events identical in space-time [Quine]
10. Modality / A. Necessity / 11. Denial of Necessity
Necessity could be just generalisation over classes, or (maybe) quantifying over possibilia [Quine]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
Asserting a possible property is to say it would have had the property if that world had been actual [Plantinga]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
A possible world is a maximal possible state of affairs [Plantinga]
10. Modality / E. Possible worlds / 3. Transworld Objects / a. Transworld identity
If possible Socrates differs from actual Socrates, the Indiscernibility of Identicals says they are different [Plantinga]
It doesn't matter that we can't identify the possible Socrates; we can't identify adults from baby photos [Plantinga]
If individuals can only exist in one world, then they can never lack any of their properties [Plantinga]
10. Modality / E. Possible worlds / 3. Transworld Objects / c. Counterparts
The counterparts of Socrates have self-identity, but only the actual Socrates has identity-with-Socrates [Plantinga]
Counterpart Theory absurdly says I would be someone else if things went differently [Plantinga]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]