Combining Philosophers

All the ideas for Keith Campbell, B Hale / C Wright and Celsus

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39 ideas

2. Reason / F. Fallacies / 1. Fallacy
It is a fallacy to explain the obscure with the even more obscure [Hale/Wright]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
Relations need terms, so they must be second-order entities based on first-order tropes [Campbell,K]
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
Singular terms refer if they make certain atomic statements true [Hale/Wright]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / c. Grelling's paradox
If 'x is heterological' iff it does not apply to itself, then 'heterological' is heterological if it isn't heterological [Hale/Wright]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
The incompletability of formal arithmetic reveals that logic also cannot be completely characterized [Hale/Wright]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
Neo-logicism founds arithmetic on Hume's Principle along with second-order logic [Hale/Wright]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / e. Caesar problem
The Julius Caesar problem asks for a criterion for the concept of a 'number' [Hale/Wright]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
If structures are relative, this undermines truth-value and objectivity [Hale/Wright]
The structural view of numbers doesn't fit their usage outside arithmetical contexts [Hale/Wright]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Logicism is only noteworthy if logic has a privileged position in our ontology and epistemology [Hale/Wright]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
The neo-Fregean is more optimistic than Frege about contextual definitions of numbers [Hale/Wright]
Logicism might also be revived with a quantificational approach, or an abstraction-free approach [Hale/Wright]
Neo-Fregeanism might be better with truth-makers, rather than quantifier commitment [Hale/Wright]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Are neo-Fregeans 'maximalists' - that everything which can exist does exist? [Hale/Wright]
7. Existence / B. Change in Existence / 4. Events / c. Reduction of events
Events are trope-sequences, in which tropes replace one another [Campbell,K]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
The identity of Pegasus with Pegasus may be true, despite the non-existence [Hale/Wright]
8. Modes of Existence / B. Properties / 3. Types of Properties
Maybe we have abundant properties for semantics, and sparse properties for ontology [Hale/Wright]
8. Modes of Existence / B. Properties / 10. Properties as Predicates
A successful predicate guarantees the existence of a property - the way of being it expresses [Hale/Wright]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
Two red cloths are separate instances of redness, because you can dye one of them blue [Campbell,K]
Red could only recur in a variety of objects if it was many, which makes them particulars [Campbell,K]
Tropes solve the Companionship Difficulty, since the resemblance is only between abstract particulars [Campbell,K]
Tropes solve the Imperfect Community problem, as they can only resemble in one respect [Campbell,K]
Trope theory makes space central to reality, as tropes must have a shape and size [Campbell,K]
8. Modes of Existence / E. Nominalism / 2. Resemblance Nominalism
Nominalism has the problem that without humans nothing would resemble anything else [Campbell,K]
9. Objects / A. Existence of Objects / 1. Physical Objects
Tropes are basic particulars, so concrete particulars are collections of co-located tropes [Campbell,K]
Bundles must be unique, so the Identity of Indiscernibles is a necessity - which it isn't! [Campbell,K]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
Objects just are what singular terms refer to [Hale/Wright]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
Two pure spheres in non-absolute space are identical but indiscernible [Campbell,K]
18. Thought / E. Abstraction / 3. Abstracta by Ignoring
Abstractions come before the mind by concentrating on a part of what is presented [Campbell,K]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
Abstracted objects are not mental creations, but depend on equivalence between given entities [Hale/Wright]
One first-order abstraction principle is Frege's definition of 'direction' in terms of parallel lines [Hale/Wright]
Abstractionism needs existential commitment and uniform truth-conditions [Hale/Wright]
Equivalence abstraction refers to objects otherwise beyond our grasp [Hale/Wright]
19. Language / B. Reference / 4. Descriptive Reference / a. Sense and reference
Reference needs truth as well as sense [Hale/Wright]
19. Language / E. Analyticity / 2. Analytic Truths
Many conceptual truths ('yellow is extended') are not analytic, as derived from logic and definitions [Hale/Wright]
25. Social Practice / F. Life Issues / 6. Animal Rights
The world was made as much for animals as for man [Celsus]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
Davidson can't explain causation entirely by events, because conditions are also involved [Campbell,K]
Causal conditions are particular abstract instances of properties, which makes them tropes [Campbell,K]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
Christians presented Jesus as a new kind of logos to oppose that of the philosophers [Celsus]