Combining Texts

All the ideas for 'Chomsky on himself', 'Frege's Distinction of Sense and Reference' and 'Existence and Quantification'

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13 ideas

4. Formal Logic / D. Modal Logic ML / 1. Modal Logic
Quine says quantified modal logic creates nonsense, bad ontology, and false essentialism [Melia on Quine]
     Full Idea: Quine charges quantified modal systems of logic with giving rise to unintended sense or nonsense, committing us to an incomprehensible ontology, and entailing an implausible or unsustainable Aristotelian essentialism.
     From: comment on Willard Quine (Existence and Quantification [1966]) by Joseph Melia - Modality Ch.3
     A reaction: A nice summary. Personally I like essentialism in accounts of science (see Nature|Laws of Nature|Essentialism), so would like to save it in metaphysics. Possible worlds ontology may be very surprising, rather than 'incomprehensible'.
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Various strategies try to deal with the ontological commitments of second-order logic [Hale/Wright on Quine]
     Full Idea: Quine said higher-order logic is 'set theory in sheep's clothing', and there is concern about the ontology that is involved. One approach is to deny quantificational ontological commitments, or say that the entities involved are first-order objects.
     From: comment on Willard Quine (Existence and Quantification [1966]) by B Hale / C Wright - Logicism in the 21st Century 8
     A reaction: [compressed] The second strategy is from Boolos. This question seems to be right at the heart of the strategy of exploring our ontology through the study of our logic.
5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
Ancient names like 'Obadiah' depend on tradition, not on where the name originated [Dummett]
     Full Idea: In the case of 'Obadiah', associated only with one act of writing a prophecy, ..it is the tradition which connects our use of the name with the man; where the actual name itself first came from has little to do with it.
     From: Michael Dummett (Frege's Distinction of Sense and Reference [1975], p.256)
     A reaction: Excellent. This seems to me a much more accurate account of reference than the notion of a baptism. In the case of 'Homer', whether someone was ever baptised thus is of no importance to us. The tradition is everything. Also Shakespeare.
7. Existence / A. Nature of Existence / 3. Being / b. Being and existence
Philosophers tend to distinguish broad 'being' from narrower 'existence' - but I reject that [Quine]
     Full Idea: It has been fairly common in philosophy early and late to distinguish between being, as the broadest concept, and existence, as narrower. This is no distinction of mine; I mean 'exist' to cover all there is.
     From: Willard Quine (Existence and Quantification [1966], p.100)
     A reaction: I sort of agree with Quine, but 'being' has a role in philosophy that is not required in science and daily life, as the name of the central problem of ontology, which probably has to be broken down before any progress can happen.
7. Existence / A. Nature of Existence / 6. Criterion for Existence
All we have of general existence is what existential quantifiers express [Quine]
     Full Idea: Existence is what existential quantification expresses. …It is unreasonable to ask for an explication of (general) existence in simpler terms. …We may still ask what counts as evidence for existential quantifications.
     From: Willard Quine (Existence and Quantification [1966], p.97)
     A reaction: This has been orthodoxy for the last 60 years, with philosophers talking of 'quantifying over' instead of 'exists'. But are we allowed second-order logic, and plural quantification, and vague domains?
7. Existence / D. Theories of Reality / 11. Ontological Commitment / b. Commitment of quantifiers
Existence is implied by the quantifiers, not by the constants [Quine]
     Full Idea: In the quantification '(∃)(x=a)', it is the existential quantifier, not the 'a' itself, which carries the existential import.
     From: Willard Quine (Existence and Quantification [1966], p.94)
     A reaction: The Fregean idea seems to be that the criterion of existence is participation in an equality, but here the equality seems not more than assigning a name. Why can't I quantify over 'sakes', in 'for the sake of the children'?
7. Existence / D. Theories of Reality / 11. Ontological Commitment / c. Commitment of predicates
Theories are committed to objects of which some of its predicates must be true [Quine]
     Full Idea: Another way of saying what objects a theory requires is to say that they are the objects that some of the predicates of the theory have to be true of, in order for the theory to be true.
     From: Willard Quine (Existence and Quantification [1966], p.95)
     A reaction: The other was for the objects to be needed by the bound variables of the theory. This is the first-order approach, that predication is a commitment to an object. So what of predicates which have no application?
7. Existence / D. Theories of Reality / 11. Ontological Commitment / d. Commitment of theories
Express a theory in first-order predicate logic; its ontology is the types of bound variable needed for truth [Quine, by Lowe]
     Full Idea: According to Quine, we find the ontological commitments of a theory by expressing it in first-order predicate logic, then determining what kind of entities must be admitted as bound variables if the theory is true.
     From: report of Willard Quine (Existence and Quantification [1966]) by E.J. Lowe - A Survey of Metaphysics p.216
     A reaction: To me this is horribly wrong. The ontological commitments of our language is not the same as ontology. What are the ontological commitments of a pocket calculator?
Ontological commitment of theories only arise if they are classically quantified [Quine]
     Full Idea: I hold that the question of the ontological commitment of a theory does not properly arise except as that theory is expressed in classical quantificational form.
     From: Willard Quine (Existence and Quantification [1966], p.106)
     A reaction: He is attacking substitutional quantification for its failure to commit. I smell circularity. If it must be quantified in the first-order classical manner, that restricts your ontology to objects before you've even started. Chicken/egg.
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
You can be implicitly committed to something without quantifying over it [Thomasson on Quine]
     Full Idea: Quine's test for ontological commitment ignores the fact that there are often implicit commitments to certain kinds of entities even where we are not yet quantifying over them.
     From: comment on Willard Quine (Existence and Quantification [1966]) by Amie L. Thomasson - Ordinary Objects 09.4
     A reaction: Put this with the obvious problem (of which Quine is aware) that we don't quantify over 'sakes' in 'for the sake of the children', and quantification and commitment have been rather clearly pulled apart.
7. Existence / E. Categories / 1. Categories
In formal terms, a category is the range of some style of variables [Quine]
     Full Idea: In terms of formalized quantification theory, each category comprises the range of some distinctive style of variable.
     From: Willard Quine (Existence and Quantification [1966], p.92)
     A reaction: I add this for those who dream of formalising everything, but be warned that even Quine thought it of little help in deciding on the categories. Presumably there would be some variable that ranged across tigers.
18. Thought / D. Concepts / 2. Origin of Concepts / c. Nativist concepts
Chomsky now says concepts are basically innate, as well as syntax [Chomsky, by Lowe]
     Full Idea: Chomsky now contends that not only the syntax of natural language but also the concepts expressible in it have an innate basis.
     From: report of Noam Chomsky (Chomsky on himself [1994]) by E.J. Lowe - Introduction to the Philosophy of Mind Ch.7 n25
     A reaction: This seems to follow Fodor, who has been mocked for implying that we have an innate idea of a screwdriver etc. Note that Chomsky says concepts have an innate 'basis'. This fits well with modern (cautious) rationalism, with which I am happy.
19. Language / B. Reference / 3. Direct Reference / b. Causal reference
The causal theory of reference can't distinguish just hearing a name from knowing its use [Dummett]
     Full Idea: The causal theory of reference, in a full-blown form, makes it impossible to distinguish between knowing the use of a proper name and simply having heard the name and recognising it as a name.
     From: Michael Dummett (Frege's Distinction of Sense and Reference [1975], p.254)
     A reaction: None of these things are all-or-nothing. I have an inkling of how to use it once I realise it is a name. Of course you could be causally connected to a name and not even realise that it was a name, so something more is needed.