Combining Texts

All the ideas for 'Precis of 'Limits of Abstraction'', 'Noneism or Allism?' and 'Remarks on the Foundations of Mathematics'

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10 ideas

2. Reason / D. Definition / 2. Aims of Definition
Definitions concern how we should speak, not how things are [Fine,K]
3. Truth / H. Deflationary Truth / 1. Redundant Truth
'It is true that this follows' means simply: this follows [Wittgenstein]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
We can quantify over fictions by quantifying for real over their names [Lewis]
5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification
We could quantify over impossible objects - as bundles of properties [Lewis]
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]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Two and one making three has the necessity of logical inference [Wittgenstein]
7. Existence / A. Nature of Existence / 1. Nature of Existence
'Allists' embrace the existence of all controversial entities; 'noneists' reject all but the obvious ones [Lewis]
7. Existence / A. Nature of Existence / 2. Types of Existence
We can't accept a use of 'existence' that says only some of the things there are actually exist [Lewis]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]