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All the ideas for 'fragments/reports', 'Mathematics and the Metaphysicians' and 'Deflating Existential Consequence'

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17 ideas

3. Truth / B. Truthmakers / 12. Rejecting Truthmakers
'Mickey Mouse is a fictional mouse' is true without a truthmaker [Azzouni]
     Full Idea: 'Mickey Mouse is a fictional mouse' can be taken as true without have any truthmaker.
     From: Jody Azzouni (Deflating Existential Consequence [2004], Ch.3)
     A reaction: There might be an equivocation over 'true' here. 'What, really really true that he IS a fictional mouse?'
3. Truth / H. Deflationary Truth / 1. Redundant Truth
Truth is dispensable, by replacing truth claims with the sentence itself [Azzouni]
     Full Idea: No truth predicate is ever indispensable, because Tarski biconditionals, the equivalences between sentences and explicit truth ascriptions to those sentences, allow us to replace explicit truth ascriptions with the sentences themselves.
     From: Jody Azzouni (Deflating Existential Consequence [2004], Ch.1)
     A reaction: Holding a sentence to be true isn't the same as saying that it is true, and it isn't the same as saying the sentence, because one might say it in an ironic tone of voice.
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
Truth lets us assent to sentences we can't explicitly exhibit [Azzouni]
     Full Idea: My take on truth is a fairly deflationary one: The role of the truth predicate is to enable us to assent to sentences we can't explicitly exhibit.
     From: Jody Azzouni (Deflating Existential Consequence [2004], Intro)
     A reaction: Clearly this is a role for truth, as in 'I forget what he said, but I know it was true', but it isn't remotely what most people understand by true. We use 'true' about totally explicit sentences all the time.
5. Theory of Logic / F. Referring in Logic / 1. Naming / e. Empty names
Names function the same way, even if there is no object [Azzouni]
     Full Idea: Names function the same way (semantically and grammatically) regardless of whether or not there's an object that they refer to.
     From: Jody Azzouni (Deflating Existential Consequence [2004], Ch.3 n55)
     A reaction: I take this to be a fairly clear rebuttal of the 'Fido'-Fido view of names (that the meaning of the name IS the dog), which never seems to quite go away. A name is a peg on which description may be hung, seems a good slogan to me.
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox
To solve Zeno's paradox, reject the axiom that the whole has more terms than the parts [Russell]
     Full Idea: Presumably Zeno appealed to the axiom that the whole has more terms than the parts; so if Achilles were to overtake the tortoise, he would have been in more places than the tortoise, which he can't be; but the conclusion is absurd, so reject the axiom.
     From: Bertrand Russell (Mathematics and the Metaphysicians [1901], p.89)
     A reaction: The point is that the axiom is normally acceptable (a statue contains more particles than the arm of the statue), but it breaks down when discussing infinity (Idea 7556). Modern theories of infinity are needed to solve Zeno's Paradoxes.
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
In mathematic we are ignorant of both subject-matter and truth [Russell]
     Full Idea: Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.
     From: Bertrand Russell (Mathematics and the Metaphysicians [1901], p.76)
     A reaction: A famous remark, though Musgrave is rather disparaging about Russell's underlying reasoning here.
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / b. Mark of the infinite
A collection is infinite if you can remove some terms without diminishing its number [Russell]
     Full Idea: A collection of terms is infinite if it contains as parts other collections which have as many terms as it has; that is, you can take away some terms of the collection without diminishing its number; there are as many even numbers as numbers all together.
     From: Bertrand Russell (Mathematics and the Metaphysicians [1901], p.86)
     A reaction: He cites Dedekind and Cantor as source for these ideas. If it won't obey the rule that subtraction makes it smaller, then it clearly isn't a number, and really it should be banned from all mathematics.
7. Existence / A. Nature of Existence / 6. Criterion for Existence
That all existents have causal powers is unknowable; the claim is simply an epistemic one [Azzouni]
     Full Idea: If the argument isn't that, metaphysically speaking, anything that exists must have causal powers - how on earth would we show that? - rather, the claim is an epistemic one. Any thing we're in a position to know about we must causally interact with.
     From: Jody Azzouni (Deflating Existential Consequence [2004], Ch.4)
     A reaction: A very good point. I am attracted to causal power as a criterion for existence, but Azzouni's distinction is vital. Maybe there is just no point in even talking about things which exist but have no causal powers.
7. Existence / D. Theories of Reality / 7. Fictionalism
If fictional objects really don't exist, then they aren't abstract objects [Azzouni]
     Full Idea: It's robustly part of common sense that fictional objects don't exist in any sense at all, and this means they aren't abstracta either.
     From: Jody Azzouni (Deflating Existential Consequence [2004], Ch.3)
     A reaction: Nice. It is so easy to have some philosopher dilute and equivocate over the word 'object' until you find yourself committed to all sorts of daft things as somehow having objectual existence. We can discuss things which don't exist in any way at all.
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
Modern metaphysics often derives ontology from the logical forms of sentences [Azzouni]
     Full Idea: It is widespread in contemporary metaphysics to extract commitments to various types of object on the basis of the logical form of certain sentences.
     From: Jody Azzouni (Deflating Existential Consequence [2004], Ch.7)
     A reaction: I'm with Azzouni in thinking that this procedure is a very bad idea. I'm increasingly inclined towards the wild view that people are only ontologically committed to things if they explicitly say that they are so committed.
7. Existence / D. Theories of Reality / 11. Ontological Commitment / b. Commitment of quantifiers
If objectual quantifiers ontologically commit, so does the metalanguage for its semantics [Azzouni]
     Full Idea: The argument that objectual quantifiers are ontologically committing has the crucial and unnoticed presupposition that the language in which the semantics for the objectual quantifiers is couched (the 'metalanguage') also has quantifiers with commitment.
     From: Jody Azzouni (Deflating Existential Consequence [2004], Ch.3)
     A reaction: That is, presumably we find ourselves ontologically committed to the existence of quantifiers, and are also looking at an infinite regress. See Idea 12439.
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
In the vernacular there is no unequivocal ontological commitment [Azzouni]
     Full Idea: There are no linguistic devices, no idioms (not 'there is', not 'exists') that unequivocally indicate ontological commitment in the vernacular.
     From: Jody Azzouni (Deflating Existential Consequence [2004], Intro)
     A reaction: This seems right, since people talk in such ways about soap opera, while understanding the ontological situation perfectly well. Presumably Quine is seeking higher standards than the vernacular, if we are doing science.
We only get ontology from semantics if we have already smuggled it in [Azzouni]
     Full Idea: A slogan: One can't read ontological commitments from semantic conditions unless one has already smuggled into those semantic conditions the ontology one would like to read off.
     From: Jody Azzouni (Deflating Existential Consequence [2004], Ch.3)
     A reaction: The arguments supporting this are subtle, but it's good enough for me, as I never thought anyone was ontologically committed just because they used the vagueries of language to try to say what's going on around here.
9. Objects / A. Existence of Objects / 4. Impossible objects
Things that don't exist don't have any properties [Azzouni]
     Full Idea: Things that don't exist don't have any properties.
     From: Jody Azzouni (Deflating Existential Consequence [2004], Ch.4)
     A reaction: Sounds reasonable! I totally agree, but that is because my notion of properties is sparse and naturalistic. If you identify properties with predicates (which some weird people seem to), then non-existents can have properties like 'absence' or 'nullity'.
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
Self-evidence is often a mere will-o'-the-wisp [Russell]
     Full Idea: Self-evidence is often a mere will-o'-the-wisp, which is sure to lead us astray if we take it as our guide.
     From: Bertrand Russell (Mathematics and the Metaphysicians [1901], p.78)
     A reaction: The sort of nice crisp remark you would expect from a good empiricist philosopher. Compare Idea 4948. However Russell qualifies it with the word 'often', and all philosophers eventually realise that you have to start somewhere.
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
     Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice.
     From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where?
27. Natural Reality / F. Chemistry / 3. Periodic Table
The periodic table not only defines the elements, but also excludes other possible elements [Azzouni]
     Full Idea: The periodic table not only governs what elements there can be, with their properties, but also explicitly excludes others sorts of elements, because the elements are individuated by the number of discrete protons in their nuclei.
     From: Jody Azzouni (Deflating Existential Consequence [2004], Ch.7)
     A reaction: It has to be central to the thesis of scientific essentialism that the possibilities in nature are far more restricted than is normally thought, and this observation illustrates the view nicely. He makes a similar point about subatomic particles.