Combining Texts

All the ideas for 'Through the Looking Glass', 'Ambitious, yet modest, Metaphysics' and 'Nominalism and Substitutional Quantifiers'

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17 ideas

1. Philosophy / E. Nature of Metaphysics / 5. Metaphysics beyond Science
Esoteric metaphysics aims to be top science, investigating ultimate reality [Hofweber]
     Full Idea: Esoteric metaphysics appeals to those, I conjecture, who deep down hold that philosophy is the queen of sciences after all, since it investigates what the world is REALLY like.
     From: Thomas Hofweber (Ambitious, yet modest, Metaphysics [2009], 2)
     A reaction: He mentions Kit Fine and Jonathan Schaffer as esoteric metaphysicians. I see a pyramid of increasing generality and abstraction, with metaphysics at the top. This doesn't make it 'queen', though, because uncertainties multiply higher up.
1. Philosophy / E. Nature of Metaphysics / 7. Against Metaphysics
Science has discovered properties of things, so there are properties - so who needs metaphysics? [Hofweber]
     Full Idea: Material science has found that some features of metals make them more susceptible to corrosion but more resistant to fracture. Thus this immediately implies that there are features, i.e. properties. What is left for metaphysics to do?
     From: Thomas Hofweber (Ambitious, yet modest, Metaphysics [2009], 1.1)
     A reaction: Presumably economists have discovered 'features' of economies that cause unemployment, and literary critics have discovered 'features' of novels that make them good.
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
The nominalist is tied by standard semantics to first-order, denying higher-order abstracta [Marcus (Barcan)]
     Full Idea: The nominalist finds that standard semantics shackles him to first-order languages if, as nominalists are wont, he is to make do without abstract higher order objects.
     From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.166)
     A reaction: Aha! Since I am pursuing a generally nominalist strategy in metaphysics, I suddenly see that I must adopt a hostile attitude to higher-order logic! Maybe plural quantification is the way to go, with just first-order objects.
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
Anything which refers tends to be called a 'name', even if it isn't a noun [Marcus (Barcan)]
     Full Idea: The tendency has been to call any expression a 'name', however distant from the grammatical category of nouns, provided it is seen as referring.
     From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.162)
Nominalists see proper names as a main vehicle of reference [Marcus (Barcan)]
     Full Idea: For a nominalist with an ontology of empirically distinguishable objects, proper names are seen as a primary vehicle of reference.
     From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.162)
5. Theory of Logic / G. Quantification / 1. Quantification
Nominalists should quantify existentially at first-order, and substitutionally when higher [Marcus (Barcan)]
     Full Idea: For the nominalist, at level zero, where substituends are referring names, the quantifiers may be read existentially. Beyond level zero, the variables and quantifiers are read sustitutionally (though it is unclear whether this program is feasible).
     From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.167)
The quantifier in logic is not like the ordinary English one (which has empty names, non-denoting terms etc) [Hofweber]
     Full Idea: The inferential role of the existential quantifier in first order logic does not carry over to the existential quantifier in English (we have empty names, singular terms that are not even in the business of denoting, and so on).
     From: Thomas Hofweber (Ambitious, yet modest, Metaphysics [2009], 2)
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
Quantifiers are needed to refer to infinitely many objects [Marcus (Barcan)]
     Full Idea: An adequate language for referring to infinitely many objects would seem to require variables and quantifiers in addition to names.
     From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.164)
Substitutional semantics has no domain of objects, but place-markers for substitutions [Marcus (Barcan)]
     Full Idea: On a substitutional semantics of a first-order language, a domain of objects is not specified. Variables do not range over objects. They are place markers for substituends (..and sentences are true-for-all-names, or true-for-at-least-one-name).
     From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.165)
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Maybe a substitutional semantics for quantification lends itself to nominalism [Marcus (Barcan)]
     Full Idea: It has been suggested that a substitutional semantics for quantification theory lends itself to nominalistic aims.
     From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.161)
Substitutional language has no ontology, and is just a way of speaking [Marcus (Barcan)]
     Full Idea: Translation into a substitutional language does not force the ontology. It remains, literally, and until the case for reference can be made, a façon de parler. That is the way the nominalist would like to keep it.
     From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.166)
A true universal sentence might be substitutionally refuted, by an unnamed denumerable object [Marcus (Barcan)]
     Full Idea: Critics say if there are nondenumerably many objects, then on the substitutional view there might be true universal sentences falsified by an unnamed object, and there must always be some such, for names are denumerable.
     From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.167)
     A reaction: [See Quine 'Reply to Prof. Marcus' p.183] The problem seems to be that there would be names which are theoretically denumerable, but not nameable, and hence not available for substitution. Marcus rejects this, citing compactness.
7. Existence / A. Nature of Existence / 3. Being / e. Being and nothing
I only wish I had such eyes as to see Nobody! It's as much as I can do to see real people. [Carroll,L]
     Full Idea: "I see nobody on the road," said Alice. - "I only wish I had such eyes," the King remarked. ..."To be able to see Nobody! ...Why, it's as much as I can do to see real people."
     From: Lewis Carroll (C.Dodgson) (Through the Looking Glass [1886], p.189), quoted by A.W. Moore - The Evolution of Modern Metaphysics 07.7
     A reaction: [Moore quotes this, inevitably, in a chapter on Hegel] This may be a better candidate for the birth of philosophy of language than Frege's Groundwork.
7. Existence / A. Nature of Existence / 3. Being / i. Deflating being
Is being just referent of the verb 'to be'? [Marcus (Barcan)]
     Full Idea: Being itself has been viewed as referent of the verb 'to be'.
     From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.162)
8. Modes of Existence / E. Nominalism / 3. Predicate Nominalism
Nominalists say predication is relations between individuals, or deny that it refers [Marcus (Barcan)]
     Full Idea: Nominalists have the major task of explaining how predicates work. They usually construct it as a relation between individuals, or deny the referential function of predicates.
     From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.163)
9. Objects / A. Existence of Objects / 3. Objects in Thought
If objects are thoughts, aren't we back to psychologism? [Marcus (Barcan)]
     Full Idea: If objects are thoughts, aren't we back to psychologism?
     From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.166)
     A reaction: Personally I don't think that would be the end of the world, but Fregeans go into paroxyms at the mention of 'psychology', because they fear that it destroys objectivity. That may be because they haven't understood thought properly.
9. Objects / F. Identity among Objects / 2. Defining Identity
Substitutivity won't fix identity, because expressions may be substitutable, but not refer at all [Marcus (Barcan)]
     Full Idea: Substitutivity 'salve veritate' cannot define identity since two expressions may be everywhere intersubstitutable and not refer at all.
     From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.167)