Combining Texts

All the ideas for 'Externalism', 'What are Sets and What are they For?' and 'Letters to Thomas Burnett'

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28 ideas

1. Philosophy / H. Continental Philosophy / 4. Linguistic Structuralism
Structuralism is neo-Kantian idealism, with language playing the role of categories of understanding [Rowlands]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
The empty set is something, not nothing! [Oliver/Smiley]
We don't need the empty set to express non-existence, as there are other ways to do that [Oliver/Smiley]
The empty set is usually derived from Separation, but it also seems to need Infinity [Oliver/Smiley]
Maybe we can treat the empty set symbol as just meaning an empty term [Oliver/Smiley]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
The unit set may be needed to express intersections that leave a single member [Oliver/Smiley]
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
If bivalence is rejected, then excluded middle must also be rejected [Rowlands]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
If you only refer to objects one at a time, you need sets in order to refer to a plurality [Oliver/Smiley]
We can use plural language to refer to the set theory domain, to avoid calling it a 'set' [Oliver/Smiley]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truths are true no matter what exists - but predicate calculus insists that something exists [Oliver/Smiley]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
If mathematics purely concerned mathematical objects, there would be no applied mathematics [Oliver/Smiley]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Sets might either represent the numbers, or be the numbers, or replace the numbers [Oliver/Smiley]
7. Existence / C. Structure of Existence / 5. Supervenience / a. Nature of supervenience
Supervenience is a one-way relation of dependence or determination between properties [Rowlands]
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
The notion of substance is one of the keys to true philosophy [Leibniz]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
It is argued that wholes possess modal and counterfactual properties that parts lack [Rowlands]
9. Objects / F. Identity among Objects / 4. Type Identity
Tokens are dated, concrete particulars; types are their general properties or kinds [Rowlands]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / a. Idealism
Strong idealism is the sort of mess produced by a Cartesian separation of mind and world [Rowlands]
15. Nature of Minds / A. Nature of Mind / 1. Mind / c. Features of mind
Minds are rational, conscious, subjective, self-knowing, free, meaningful and self-aware [Rowlands]
15. Nature of Minds / A. Nature of Mind / 6. Anti-Individualism
Content externalism implies that we do not have privileged access to our own minds [Rowlands]
If someone is secretly transported to Twin Earth, others know their thoughts better than they do [Rowlands]
17. Mind and Body / D. Property Dualism / 5. Supervenience of mind
Supervenience of mental and physical properties often comes with token-identity of mental and physical particulars [Rowlands]
18. Thought / C. Content / 1. Content
The content of a thought is just the meaning of a sentence [Rowlands]
20. Action / A. Definition of Action / 4. Action as Movement
Action is bodily movement caused by intentional states [Rowlands]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
Moral intuition seems unevenly distributed between people [Rowlands]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
The 17th century reintroduced atoms as mathematical modes of Euclidean space [Rowlands]
26. Natural Theory / B. Natural Kinds / 2. Defining Kinds
Natural kinds are defined by their real essence, as in gold having atomic number 79 [Rowlands]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
Gravity is within matter because of its structure, and it can be explained. [Leibniz]
27. Natural Reality / G. Biology / 4. Ecology
It is common to see the value of nature in one feature, such as life, diversity, or integrity [Rowlands]