Combining Philosophers

All the ideas for Cardinal/Hayward/Jones, Rayo,A/Uzquiasno,G and Barry Smith

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14 ideas

3. Truth / B. Truthmakers / 2. Truthmaker Relation
Maybe truth-making is an unanalysable primitive, but we can specify principles for it [Smith,B]
     Full Idea: The signs are that truth-making is not analysable in terms of anything more primitive, but we need to be able to say more than just that. So we ought to consider it as specified by principles of truth-making.
     From: Barry Smith (Truth-maker Realism: response to Gregory [2000], p.20), quoted by Fraser MacBride - Truthmakers 1.5
     A reaction: This is the axiomatic approach to such problems - treat the target concept as an undefinable, unanalysable primitive, and then give rules for its connections. Maybe all metaphysics should work like that, with a small bunch of primitives.
3. Truth / B. Truthmakers / 4. Truthmaker Necessitarianism
God might necessitate that something happen, but He is not the truth-maker for it [Smith,B]
     Full Idea: Suppose that God wills that John kiss Mary now. God's willing thereby necessitates the truth of 'John is kissing Mary'. But God's act is not a truth-maker for this judgement.
     From: Barry Smith (Truth-maker Realism [1999], p.6), quoted by Fraser MacBride - Truthmakers 1.2
     A reaction: The point is that truth-making relates to the fact that it happened, not what necessitated it to happen. But Armstrong might reply that his truth-maker 'necessitation' primitive is not the kind of necessitation found in worldly relations.
4. Formal Logic / F. Set Theory ST / 1. Set Theory
The two best understood conceptions of set are the Iterative and the Limitation of Size [Rayo/Uzquiano]
     Full Idea: The two best understood conceptions of set are the Iterative Conception and the Limitation of Size Conception.
     From: Rayo,A/Uzquiasno,G (Introduction to 'Absolute Generality' [2006], 1.2.2)
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]
     Full Idea: There are set theories that countenance exceptions to the Principle of Separation in exchange for a universal set.
     From: Rayo,A/Uzquiasno,G (Introduction to 'Absolute Generality' [2006], 1.2.2)
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
We could have unrestricted quantification without having an all-inclusive domain [Rayo/Uzquiano]
     Full Idea: The possibility of unrestricted quantification does not immediately presuppose the existence of an all-inclusive domain. One could deny an all-inclusive domain but grant that some quantifications are sometimes unrestricted.
     From: Rayo,A/Uzquiasno,G (Introduction to 'Absolute Generality' [2006], 1.1)
     A reaction: Thus you can quantify over anything you like, but only from what is available. Eat what you like (in this restaurant).
Absolute generality is impossible, if there are indefinitely extensible concepts like sets and ordinals [Rayo/Uzquiano]
     Full Idea: There are doubts about whether absolute generality is possible, if there are certain concepts which are indefinitely extensible, lacking definite extensions, and yielding an ever more inclusive hierarchy. Sets and ordinals are paradigm cases.
     From: Rayo,A/Uzquiasno,G (Introduction to 'Absolute Generality' [2006], 1.2.1)
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Perhaps second-order quantifications cover concepts of objects, rather than plain objects [Rayo/Uzquiano]
     Full Idea: If one thought of second-order quantification as quantification over first-level Fregean concepts [note: one under which only objects fall], talk of domains might be regimented as talk of first-level concepts, which are not objects.
     From: Rayo,A/Uzquiasno,G (Introduction to 'Absolute Generality' [2006], 1.2.2)
     A reaction: That is (I take it), don't quantify over objects, but quantify over concepts, but only those under which known objects fall. One might thus achieve naïve comprehension without paradoxes. Sound like fun.
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
The phenomenalist says that to be is to be perceivable [Cardinal/Hayward/Jones]
     Full Idea: Where the idealist says that to be (i.e. to exist) is to be perceived, the phenomenalist says that to be is to be perceivable.
     From: Cardinal/Hayward/Jones (Epistemology [2004], Ch.4)
     A reaction: This is a nice phenomenalist slogan to add to Mill's well known one (Idea 3583). Expressed in this form, it looks false to me. What about neutrinoes? They weren't at all perceivable until recently. Maybe some physical stuff can never be perceived.
Linguistic phenomenalism says we can eliminate talk of physical objects [Cardinal/Hayward/Jones]
     Full Idea: Linguistic phenomenalism argues that it is possible to remove all talk of physical objects from our speech with no loss of meaning.
     From: Cardinal/Hayward/Jones (Epistemology [2004], Ch.4)
     A reaction: I find this proposal unappealing. My basic objection is that I cannot understand why anyone would refuse to even contemplate the question of WHY I am having a given group of consistent experiences, of (say) a table kind.
If we lack enough sense-data, are we to say that parts of reality are 'indeterminate'? [Cardinal/Hayward/Jones]
     Full Idea: The problem with taking sense-data as basic is that some data can appear indeterminate. If we can't discern the colour of someone's eyes, or the number of sides of a complex figure, are we to say that there is no fact about those things?
     From: Cardinal/Hayward/Jones (Epistemology [2004], Ch.4)
     A reaction: I like that. How many electrons are there in the sun? Such things cannot just be reduced to talk of sense-data, as there is obviously a vast gap between the data and the facts. As usual, ontology and epistemology must be kept separate.
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / c. Primary qualities
Primary qualities can be described mathematically, unlike secondary qualities [Cardinal/Hayward/Jones]
     Full Idea: All the primary qualities lend themselves readily to mathematical or geometric description. ...but it seems that secondary qualities are less amenable to being represented mathematically.
     From: Cardinal/Hayward/Jones (Epistemology [2004], Ch.4)
     A reaction: As a believer in the primary/secondary distinction, I welcome this point. This is either evidence for the external reality of primary qualities, or an interesting observation about maths. Do we make the primary/secondary distinction because we do maths?
An object cannot remain an object without its primary qualities [Cardinal/Hayward/Jones]
     Full Idea: An object cannot lack shape, size, position or motion and remain an object.
     From: Cardinal/Hayward/Jones (Epistemology [2004], Ch.4)
     A reaction: This points towards the essentialist view (see Idea 5453). This does raise the question of whether an object could lose its colour with impugnity, or the quality of sound that it makes when struck.
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / c. Coherentism critique
My justifications might be very coherent, but totally unconnected to the world [Cardinal/Hayward/Jones]
     Full Idea: My beliefs could be well justified in coherentist terms, while not accurately representing the world, and my system of beliefs could be completely free-floating.
     From: Cardinal/Hayward/Jones (Epistemology [2004], Ch.3)
     A reaction: This nicely encapsulates to correspondence objection to coherence theory. One thing missing from the coherence account is that beliefs aren't chosen for their coherence, but are mostly unthinkingly triggered by experiences.
19. Language / F. Communication / 5. Pragmatics / a. Contextual meaning
The domain of an assertion is restricted by context, either semantically or pragmatically [Rayo/Uzquiano]
     Full Idea: We generally take an assertion's domain of discourse to be implicitly restricted by context. [Note: the standard approach is that this restriction is a semantic phenomenon, but Kent Bach (2000) argues that it is a pragmatic phenomenon]
     From: Rayo,A/Uzquiasno,G (Introduction to 'Absolute Generality' [2006], 1.1)
     A reaction: I think Kent Bach is very very right about this. Follow any conversation, and ask what the domain is at any moment. The reference of a word like 'they' can drift across things, with no semantics to guide us, but only clues from context and common sense.