Combining Texts

All the ideas for 'Introduction to Russell's Theory of Types', 'Words without Objects' and 'Ontological Relativity'

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18 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
The Axiom of Reducibility is self-effacing: if true, it isn't needed [Quine]
5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
If plural variables have 'some values', then non-count variables have 'some value' [Laycock]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
If quantification is all substitutional, there is no ontology [Quine]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
Plurals are semantical but not ontological [Laycock]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Some non-count nouns can be used for counting, as in 'several wines' or 'fewer cheeses' [Laycock]
Some apparent non-count words can take plural forms, such as 'snows' or 'waters' [Laycock]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
Absolute ontological questions are meaningless, because the answers are circular definitions [Quine]
7. Existence / C. Structure of Existence / 8. Stuff / a. Pure stuff
The category of stuff does not suit reference [Laycock]
Descriptions of stuff are neither singular aggregates nor plural collections [Laycock]
7. Existence / C. Structure of Existence / 8. Stuff / b. Mixtures
We shouldn't think some water retains its identity when it is mixed with air [Laycock]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / d. Commitment of theories
Ontology is relative to both a background theory and a translation manual [Quine]
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
Parts must be of the same very general type as the wholes [Laycock]
9. Objects / F. Identity among Objects / 1. Concept of Identity
We know what things are by distinguishing them, so identity is part of ontology [Quine]
13. Knowledge Criteria / E. Relativism / 5. Language Relativism
Two things are relative - the background theory, and translating the object theory into the background theory [Quine]
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
'Humility is a virtue' has an abstract noun, but 'water is a liquid' has a generic concrete noun [Laycock]
19. Language / B. Reference / 1. Reference theories
Reference is inscrutable, because we cannot choose between theories of numbers [Quine, by Orenstein]
It is said that proper reference is our intellectual link with the world [Laycock]
19. Language / F. Communication / 6. Interpreting Language / b. Indeterminate translation
Indeterminacy translating 'rabbit' depends on translating individuation terms [Quine]