Combining Texts

All the ideas for 'Good and Evil', 'Number Determiners, Numbers, Arithmetic' and 'Abstract Objects'

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34 ideas

1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Questions about objects are questions about certain non-vacuous singular terms [Hale]
2. Reason / D. Definition / 12. Paraphrase
An expression is a genuine singular term if it resists elimination by paraphrase [Hale]
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
We should decide whether singular terms are genuine by their usage [Hale]
Often the same singular term does not ensure reliable inference [Hale]
Plenty of clear examples have singular terms with no ontological commitment [Hale]
If singular terms can't be language-neutral, then we face a relativity about their objects [Hale]
An adjective contributes semantically to a noun phrase [Hofweber]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
Quantifiers for domains and for inference come apart if there are no entities [Hofweber]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
What is the relation of number words as singular-terms, adjectives/determiners, and symbols? [Hofweber]
'2 + 2 = 4' can be read as either singular or plural [Hofweber]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Why is arithmetic hard to learn, but then becomes easy? [Hofweber]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Arithmetic is not about a domain of entities, as the quantifiers are purely inferential [Hofweber]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
Arithmetic doesn’t simply depend on objects, since it is true of fictional objects [Hofweber]
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
We might eliminate adjectival numbers by analysing them into blocks of quantifiers [Hofweber]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
First-order logic captures the inferential relations of numbers, but not the semantics [Hofweber]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
The abstract/concrete distinction is based on what is perceivable, causal and located [Hale]
Colours and points seem to be both concrete and abstract [Hale]
Token-letters and token-words are concrete objects, type-letters and type-words abstract [Hale]
The abstract/concrete distinction is in the relations in the identity-criteria of object-names [Hale]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / b. Levels of abstraction
There is a hierarchy of abstraction, based on steps taken by equivalence relations [Hale]
8. Modes of Existence / D. Universals / 1. Universals
Realists take universals to be the referrents of both adjectives and of nouns [Hale]
If F can't have location, there is no problem of things having F in different locations [Hale]
It is doubtful if one entity, a universal, can be picked out by both predicates and abstract nouns [Hale]
8. Modes of Existence / E. Nominalism / 1. Nominalism / c. Nominalism about abstracta
Objections to Frege: abstracta are unknowable, non-independent, unstatable, unindividuated [Hale]
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
Shapes and directions are of something, but games and musical compositions are not [Hale]
Many abstract objects, such as chess, seem non-spatial, but are not atemporal [Hale]
If the mental is non-spatial but temporal, then it must be classified as abstract [Hale]
Being abstract is based on a relation between things which are spatially separated [Hale]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
The modern Fregean use of the term 'object' is much broader than the ordinary usage [Hale]
9. Objects / A. Existence of Objects / 2. Abstract Objects / d. Problems with abstracta
We can't believe in a 'whereabouts' because we ask 'what kind of object is it?' [Hale]
9. Objects / F. Identity among Objects / 1. Concept of Identity
The relations featured in criteria of identity are always equivalence relations [Hale]
9. Objects / F. Identity among Objects / 3. Relative Identity
We sometimes apply identity without having a real criterion [Hale]
15. Nature of Minds / C. Capacities of Minds / 4. Objectification
Our minds are at their best when reasoning about objects [Hofweber]
22. Metaethics / C. The Good / 1. Goodness / a. Form of the Good
'Good' is an attributive adjective like 'large', not predicative like 'red' [Geach, by Foot]