Combining Texts

All the ideas for 'fragments/reports', 'The Limits of Abstraction' and 'Words without Objects'

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23 ideas

2. Reason / D. Definition / 3. Types of Definition
Implicit definitions must be satisfiable, creative definitions introduce things, contextual definitions build on things [Fine,K, by Cook/Ebert]
'Creative definitions' do not presuppose the existence of the objects defined [Fine,K]
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 / 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 / 4. Abstract Existence
Abstracts cannot be identified with sets [Fine,K]
Points in Euclidean space are abstract objects, but not introduced by abstraction [Fine,K]
Postulationism says avoid abstract objects by giving procedures that produce truth [Fine,K]
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]
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]
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]
18. Thought / E. Abstraction / 1. Abstract Thought
Fine's 'procedural postulationism' uses creative definitions, but avoids abstract ontology [Fine,K, by Cook/Ebert]
18. Thought / E. Abstraction / 2. Abstracta by Selection
Many different kinds of mathematical objects can be regarded as forms of abstraction [Fine,K]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
We can abstract from concepts (e.g. to number) and from objects (e.g. to direction) [Fine,K]
Fine considers abstraction as reconceptualization, to produce new senses by analysing given senses [Fine,K, by Cook/Ebert]
Abstractionism can be regarded as an alternative to set theory [Fine,K]
An object is the abstract of a concept with respect to a relation on concepts [Fine,K]
19. Language / B. Reference / 1. Reference theories
It is said that proper reference is our intellectual link with the world [Laycock]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / G. Biology / 3. Evolution
Archelaus said life began in a primeval slime [Archelaus, by Schofield]