Combining Texts

All the ideas for 'Logical Consequence', 'The Analysis of Matter' and 'Abstract Objects'

expand these ideas     |    start again     |     specify just one area for these texts


36 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]
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
'Equivocation' is when terms do not mean the same thing in premises and conclusion [Beall/Restall]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
Formal logic is invariant under permutations, or devoid of content, or gives the norms for thought [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
Logical consequence needs either proofs, or absence of counterexamples [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
Logical consequence is either necessary truth preservation, or preservation based on interpretation [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 8. Material Implication
A step is a 'material consequence' if we need contents as well as form [Beall/Restall]
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]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
A 'logical truth' (or 'tautology', or 'theorem') follows from empty premises [Beall/Restall]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Models are mathematical structures which interpret the non-logical primitives [Beall/Restall]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Hilbert proofs have simple rules and complex axioms, and natural deduction is the opposite [Beall/Restall]
7. Existence / B. Change in Existence / 4. Events / b. Events as primitive
In 1927, Russell analysed force and matter in terms of events [Russell, by Grayling]
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]
The abstract/concrete distinction is in the relations in the identity-criteria of object-names [Hale]
Token-letters and token-words are concrete objects, type-letters and type-words abstract [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
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]
Realists take universals to be the referrents of both adjectives and of 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 / 1. Physical Objects
A perceived physical object is events grouped around a centre [Russell]
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 / B. Unity of Objects / 2. Substance / e. Substance critique
An object produces the same percepts with or without a substance, so that is irrelevant to science [Russell]
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]
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
Russell rejected phenomenalism because it couldn't account for causal relations [Russell, by Grayling]
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
At first matter is basic and known by sense-data; later Russell says matter is constructed [Russell, by Linsky,B]