Combining Texts

All the ideas for 'The Roots of Reference', 'Intro to III: Quantifiers' and 'A Priori Knowledge'

unexpand these ideas     |    start again     |     specify just one area for these texts


9 ideas

5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Substitutional universal quantification retains truth for substitution of terms of the same type [Jacquette]
     Full Idea: The substitutional interpretation says the universal quantifier is true just in case it remains true for all substitutions of terms of the same type as that of the universally bound variable.
     From: Dale Jacquette (Intro to III: Quantifiers [2002], p.143)
     A reaction: This doesn't seem to tell us how it gets started with being true.
Nominalists like substitutional quantification to avoid the metaphysics of objects [Jacquette]
     Full Idea: Some substitutional quantificationists in logic hope to avoid philosophical entanglements about the metaphysics of objects, ..and nominalists can find aid and comfort there.
     From: Dale Jacquette (Intro to III: Quantifiers [2002], p.143)
     A reaction: This has an appeal for me, particularly if it avoids abstract objects, but I don't see much problem with material objects, so we might as well have a view that admits those.
8. Modes of Existence / C. Powers and Dispositions / 3. Powers as Derived
Dispositions are physical states of mechanism; when known, these replace the old disposition term [Quine]
     Full Idea: Each disposition, in my view, is a physical state or mechanism. ...In some cases nowadays we understand the physical details and set them forth explicitly in terms of the arrangement and interaction of small bodies. This replaces the old disposition.
     From: Willard Quine (The Roots of Reference [1990], p.11), quoted by Stephen Mumford - Dispositions 01.3
     A reaction: A challenge to the dispositions and powers view of nature, one which rests on the 'categorical' structural properties, rather than the 'hypothetical' dispositions. But can we define a mechanism without mentioning its powers?
10. Modality / A. Necessity / 11. Denial of Necessity
Maybe modal sentences cannot be true or false [Casullo]
     Full Idea: Some people claim that modal sentences do not express truths or falsehoods.
     From: Albert Casullo (A Priori Knowledge [2002], 3.2)
     A reaction: I can only imagine this coming from a narrow hardline empiricist. It seems to me obvious that we make true or false statements about what is possible or impossible.
10. Modality / D. Knowledge of Modality / 1. A Priori Necessary
If the necessary is a priori, so is the contingent, because the same evidence is involved [Casullo]
     Full Idea: If one can only know a priori that a proposition is necessary, then one can know only a priori that a proposition is contingent. The evidence relevant to determining the latter is the same as that relevant to determining the former.
     From: Albert Casullo (A Priori Knowledge [2002], 3.2)
     A reaction: This seems a telling point, but I suppose it is obvious. If you see that the cat is on the mat, nothing in the situation tells you whether this is contingent or necessary. We assume it is contingent, but that may be an a priori assumption.
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
Epistemic a priori conditions concern either the source, defeasibility or strength [Casullo]
     Full Idea: There are three suggested epistemic conditions on a priori knowledge: the first regards the source of justification, the second regards the defeasibility of justification, and the third appeals to the strength of justification.
     From: Albert Casullo (A Priori Knowledge [2002], 2)
     A reaction: [compressed] He says these are all inspired by Kant. The non-epistemic suggested condition involve necessity or analyticity. The source would have to be entirely mental; the defeasibly could not be experiential; the strength would be certainty.
The main claim of defenders of the a priori is that some justifications are non-experiential [Casullo]
     Full Idea: The leading claim of proponents of the a priori is that sources of justification are of two significantly different types: experiential and nonexperiential. Initially this difference is marked at the phenomenological level.
     From: Albert Casullo (A Priori Knowledge [2002], 5)
     A reaction: He cites Plantinga and Bealer for the phenomenological starting point (that some knowledge just seems rationally obvious, certain, and perhaps necessary).
12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities
Analysis of the a priori by necessity or analyticity addresses the proposition, not the justification [Casullo]
     Full Idea: There is reason to view non-epistemic analyses of a priori knowledge (in terms of necessity or analyticity) with suspicion. The a priori concerns justification. Analysis by necessity or analyticity concerns the proposition rather than the justification.
     From: Albert Casullo (A Priori Knowledge [2002], 2.1)
     A reaction: [compressed] The fact that the a priori is entirely a mode of justification, rather than a type of truth, is the modern view, influenced by Kripke. Given that assumption, this is a good objection.
13. Knowledge Criteria / A. Justification Problems / 1. Justification / c. Defeasibility
'Overriding' defeaters rule it out, and 'undermining' defeaters weaken in [Casullo]
     Full Idea: A justified belief that a proposition is not true is an 'overriding' defeater, ...and the belief that a justification is inadequate or defective is an 'undermining' defeater.
     From: Albert Casullo (A Priori Knowledge [2002], n 40)
     A reaction: Sounds more like a sliding scale than a binary option. Quite useful, though.