Combining Texts

All the ideas for 'Natural Kinds', 'Three Grades of Modal Involvement' and 'Frege versus Cantor and Dedekind'

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32 ideas

1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
Analytic philosophy focuses too much on forms of expression, instead of what is actually said [Tait]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
Philosophy is continuous with science, and has no external vantage point [Quine]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
The null set was doubted, because numbering seemed to require 'units' [Tait]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
We can have a series with identical members [Tait]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
Whether a modal claim is true depends on how the object is described [Quine, by Fine,K]
5. Theory of Logic / G. Quantification / 1. Quantification
Objects are the values of variables, so a referentially opaque context cannot be quantified into [Quine]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
Klein summarised geometry as grouped together by transformations [Quine]
7. Existence / C. Structure of Existence / 8. Stuff / a. Pure stuff
Mass terms just concern spread, but other terms involve both spread and individuation [Quine]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / a. Dispositions
Once we know the mechanism of a disposition, we can eliminate 'similarity' [Quine]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / d. Dispositions as occurrent
We judge things to be soluble if they are the same kind as, or similar to, things that do dissolve [Quine]
9. Objects / D. Essence of Objects / 9. Essence and Properties
Aristotelian essentialism says a thing has some necessary and some non-necessary properties [Quine]
10. Modality / A. Necessity / 2. Nature of Necessity
Necessity can attach to statement-names, to statements, and to open sentences [Quine]
10. Modality / A. Necessity / 11. Denial of Necessity
Necessity is in the way in which we say things, and not things themselves [Quine]
14. Science / A. Basis of Science / 3. Experiment
Science is common sense, with a sophisticated method [Quine]
14. Science / C. Induction / 1. Induction
Induction relies on similar effects following from each cause [Quine]
Induction is just more of the same: animal expectations [Quine]
14. Science / C. Induction / 5. Paradoxes of Induction / a. Grue problem
Grue is a puzzle because the notions of similarity and kind are dubious in science [Quine]
15. Nature of Minds / C. Capacities of Minds / 7. Seeing Resemblance
General terms depend on similarities among things [Quine]
To learn yellow by observation, must we be told to look at the colour? [Quine]
Similarity is just interchangeability in the cosmic machine [Quine]
Standards of similarity are innate, and the spacing of qualities such as colours can be mapped [Quine]
18. Thought / E. Abstraction / 2. Abstracta by Selection
Abstraction is 'logical' if the sense and truth of the abstraction depend on the concrete [Tait]
Cantor and Dedekind use abstraction to fix grammar and objects, not to carry out proofs [Tait]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
Abstraction may concern the individuation of the set itself, not its elements [Tait]
18. Thought / E. Abstraction / 8. Abstractionism Critique
Why should abstraction from two equipollent sets lead to the same set of 'pure units'? [Tait]
If abstraction produces power sets, their identity should imply identity of the originals [Tait]
19. Language / C. Assigning Meanings / 3. Predicates
Projectible predicates can be universalised about the kind to which they refer [Quine]
26. Natural Theory / B. Natural Kinds / 1. Natural Kinds
Quine probably regrets natural kinds now being treated as essences [Quine, by Dennett]
If similarity has no degrees, kinds cannot be contained within one another [Quine]
Comparative similarity allows the kind 'colored' to contain the kind 'red' [Quine]
26. Natural Theory / B. Natural Kinds / 3. Knowing Kinds
You can't base kinds just on resemblance, because chains of resemblance are a muddle [Quine]
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
It is hard to see how regularities could be explained [Quine]