Combining Philosophers

All the ideas for Paul Boghossian, Cynthia Macdonald and Peter Koellner

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52 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / d. Philosophy as puzzles
Philosophy tries to explain how the actual is possible, given that it seems impossible [Macdonald,C]
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
'Did it for the sake of x' doesn't involve a sake, so how can ontological commitments be inferred? [Macdonald,C]
2. Reason / D. Definition / 4. Real Definition
A sentence may simultaneously define a term, and also assert a fact [Boghossian]
2. Reason / F. Fallacies / 5. Fallacy of Composition
Don't assume that a thing has all the properties of its parts [Macdonald,C]
3. Truth / H. Deflationary Truth / 3. Minimalist Truth
Minimalism is incoherent, as it implies that truth both is and is not a property [Boghossian, by Horwich]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / I. Semantics of Logic / 2. Formal Truth
Conventionalism agrees with realists that logic has truth values, but not over the source [Boghossian]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Arithmetical undecidability is always settled at the next stage up [Koellner]
7. Existence / C. Structure of Existence / 2. Reduction
Reduce by bridge laws (plus property identities?), by elimination, or by reducing talk [Macdonald,C]
8. Modes of Existence / A. Relations / 2. Internal Relations
Relational properties are clearly not essential to substances [Macdonald,C]
8. Modes of Existence / A. Relations / 4. Formal Relations / a. Types of relation
Being taller is an external relation, but properties and substances have internal relations [Macdonald,C]
8. Modes of Existence / B. Properties / 12. Denial of Properties
Does the knowledge of each property require an infinity of accompanying knowledge? [Macdonald,C]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
Tropes are abstract (two can occupy the same place), but not universals (they have locations) [Macdonald,C]
Properties are sets of exactly resembling property-particulars [Macdonald,C]
Tropes are abstract particulars, not concrete particulars, so the theory is not nominalist [Macdonald,C]
8. Modes of Existence / B. Properties / 13. Tropes / b. Critique of tropes
How do a group of resembling tropes all resemble one another in the same way? [Macdonald,C]
Trope Nominalism is the only nominalism to introduce new entities, inviting Ockham's Razor [Macdonald,C]
8. Modes of Existence / D. Universals / 2. Need for Universals
Numerical sameness is explained by theories of identity, but what explains qualitative identity? [Macdonald,C]
8. Modes of Existence / D. Universals / 6. Platonic Forms / b. Partaking
How can universals connect instances, if they are nothing like them? [Macdonald,C]
8. Modes of Existence / E. Nominalism / 1. Nominalism / c. Nominalism about abstracta
Real Nominalism is only committed to concrete particulars, word-tokens, and (possibly) sets [Macdonald,C]
8. Modes of Existence / E. Nominalism / 2. Resemblance Nominalism
Resemblance Nominalism cannot explain either new resemblances, or absence of resemblances [Macdonald,C]
9. Objects / A. Existence of Objects / 5. Individuation / c. Individuation by location
A 'thing' cannot be in two places at once, and two things cannot be in the same place at once [Macdonald,C]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
We 'individuate' kinds of object, and 'identify' particular specimens [Macdonald,C]
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
Unlike bundles of properties, substances have an intrinsic unity [Macdonald,C]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
The bundle theory of substance implies the identity of indiscernibles [Macdonald,C]
9. Objects / B. Unity of Objects / 2. Substance / e. Substance critique
A phenomenalist cannot distinguish substance from attribute, so must accept the bundle view [Macdonald,C]
When we ascribe a property to a substance, the bundle theory will make that a tautology [Macdonald,C]
Substances persist through change, but the bundle theory says they can't [Macdonald,C]
A substance might be a sequence of bundles, rather than a single bundle [Macdonald,C]
9. Objects / B. Unity of Objects / 3. Unity Problems / c. Statue and clay
A statue and its matter have different persistence conditions, so they are not identical [Macdonald,C]
9. Objects / C. Structure of Objects / 7. Substratum
A substance is either a bundle of properties, or a bare substratum, or an essence [Macdonald,C]
Each substance contains a non-property, which is its substratum or bare particular [Macdonald,C]
The substratum theory explains the unity of substances, and their survival through change [Macdonald,C]
A substratum has the quality of being bare, and they are useless because indiscernible [Macdonald,C]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
At different times Leibniz articulated three different versions of his so-called Law [Macdonald,C]
The Identity of Indiscernibles is false, because it is not necessarily true [Macdonald,C]
12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities
'Snow is white or it isn't' is just true, not made true by stipulation [Boghossian]
12. Knowledge Sources / A. A Priori Knowledge / 8. A Priori as Analytic
The a priori is explained as analytic to avoid a dubious faculty of intuition [Boghossian]
That logic is a priori because it is analytic resulted from explaining the meaning of logical constants [Boghossian]
We can't hold a sentence true without evidence if we can't agree which sentence is definitive of it [Boghossian]
12. Knowledge Sources / A. A Priori Knowledge / 11. Denying the A Priori
We may have strong a priori beliefs which we pragmatically drop from our best theory [Boghossian]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
If we learn geometry by intuition, how could this faculty have misled us for so long? [Boghossian]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / b. Self as mental continuity
In continuity, what matters is not just the beginning and end states, but the process itself [Macdonald,C]
19. Language / A. Nature of Meaning / 7. Meaning Holism / c. Meaning by Role
If meaning depends on conceptual role, what properties are needed to do the job? [Boghossian]
'Conceptual role semantics' says terms have meaning from sentences and/or inferences [Boghossian]
19. Language / A. Nature of Meaning / 8. Synonymy
Could expressions have meaning, without two expressions possibly meaning the same? [Boghossian]
19. Language / E. Analyticity / 2. Analytic Truths
There are no truths in virtue of meaning, but there is knowability in virtue of understanding [Boghossian, by Jenkins]
19. Language / E. Analyticity / 3. Analytic and Synthetic
Epistemological analyticity: grasp of meaning is justification; metaphysical: truth depends on meaning [Boghossian]