Combining Philosophers

All the ideas for Rayo,A/Uzquiasno,G, Christopher Peacocke and Peter Koellner

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33 ideas

2. Reason / D. Definition / 13. Against Definition
Most people can't even define a chair [Peacocke]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
The two best understood conceptions of set are the Iterative and the Limitation of Size [Rayo/Uzquiano]
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / m. Axiom of Separation
Some set theories give up Separation in exchange for a universal set [Rayo/Uzquiano]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
We could have unrestricted quantification without having an all-inclusive domain [Rayo/Uzquiano]
Absolute generality is impossible, if there are indefinitely extensible concepts like sets and ordinals [Rayo/Uzquiano]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Perhaps second-order quantifications cover concepts of objects, rather than plain objects [Rayo/Uzquiano]
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]
12. Knowledge Sources / B. Perception / 1. Perception
Perceptual concepts causally influence the content of our experiences [Peacocke]
12. Knowledge Sources / B. Perception / 6. Inference in Perception
Perception has proto-propositions, between immediate experience and concepts [Peacocke]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / f. Higher-order thought
Consciousness of a belief isn't a belief that one has it [Peacocke]
18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement
Concepts are distinguished by roles in judgement, and are thus tied to rationality [Peacocke]
18. Thought / D. Concepts / 1. Concepts / b. Concepts in philosophy
Philosophy should merely give necessary and sufficient conditions for concept possession [Peacocke, by Machery]
Peacocke's account of possession of a concept depends on one view of counterfactuals [Peacocke, by Machery]
Peacocke's account separates psychology from philosophy, and is very sketchy [Machery on Peacocke]
18. Thought / D. Concepts / 2. Origin of Concepts / a. Origin of concepts
The concept 'red' is tied to what actually individuates red things [Peacocke]
18. Thought / D. Concepts / 3. Ontology of Concepts / a. Concepts as representations
If concepts just are mental representations, what of concepts we may never acquire? [Peacocke]
18. Thought / D. Concepts / 3. Ontology of Concepts / b. Concepts as abilities
Possessing a concept is being able to make judgements which use it [Peacocke]
A concept is just what it is to possess that concept [Peacocke]
Employing a concept isn't decided by introspection, but by making judgements using it [Peacocke]
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
A sense is individuated by the conditions for reference [Peacocke]
Fregean concepts have their essence fixed by reference-conditions [Peacocke]
18. Thought / D. Concepts / 4. Structure of Concepts / a. Conceptual structure
Concepts have distinctive reasons and norms [Peacocke]
18. Thought / D. Concepts / 4. Structure of Concepts / b. Analysis of concepts
An analysis of concepts must link them to something unconceptualized [Peacocke]
Any explanation of a concept must involve reference and truth [Peacocke]
18. Thought / D. Concepts / 4. Structure of Concepts / f. Theory theory of concepts
Concepts are constituted by their role in a group of propositions to which we are committed [Peacocke, by Greco]
19. Language / B. Reference / 1. Reference theories
A concept's reference is what makes true the beliefs of its possession conditions [Peacocke, by Horwich]
19. Language / C. Assigning Meanings / 4. Compositionality
Encountering novel sentences shows conclusively that meaning must be compositional [Peacocke]
19. Language / F. Communication / 5. Pragmatics / a. Contextual meaning
The domain of an assertion is restricted by context, either semantically or pragmatically [Rayo/Uzquiano]