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All the ideas for 'Mathematical Methods in Philosophy', 'Externalism' and 'The Philosophy of Logic'

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28 ideas

1. Philosophy / H. Continental Philosophy / 4. Linguistic Structuralism
6161 Structuralism is neo-Kantian idealism, with language playing the role of categories of understanding [Rowlands]
5. Theory of Logic / A. Overview of Logic / 9. Philosophical Logic
18739 Three stages of philosophical logic: syntactic (1905-55), possible worlds (1963-85), widening (1990-) [Horsten/Pettigrew]
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
6163 If bivalence is rejected, then excluded middle must also be rejected [Rowlands]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
18741 Logical formalization makes concepts precise, and also shows their interrelation [Horsten/Pettigrew]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
18744 Models are sets with functions and relations, and truth built up from the components [Horsten/Pettigrew]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
18200 Very large sets should be studied in an 'if-then' spirit [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
18199 Indispensability strongly supports predicative sets, and somewhat supports impredicative sets [Putnam]
8857 We must quantify over numbers for science; but that commits us to their existence [Putnam]
7. Existence / A. Nature of Existence / 1. Nature of Existence
18740 If 'exist' doesn't express a property, we can hardly ask for its essence [Horsten/Pettigrew]
7. Existence / C. Structure of Existence / 5. Supervenience / a. Nature of supervenience
6155 Supervenience is a one-way relation of dependence or determination between properties [Rowlands]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
6154 It is argued that wholes possess modal and counterfactual properties that parts lack [Rowlands]
9. Objects / F. Identity among Objects / 4. Type Identity
6157 Tokens are dated, concrete particulars; types are their general properties or kinds [Rowlands]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
18745 A Tarskian model can be seen as a possible state of affairs [Horsten/Pettigrew]
18747 The 'spheres model' was added to possible worlds, to cope with counterfactuals [Horsten/Pettigrew]
10. Modality / E. Possible worlds / 1. Possible Worlds / b. Impossible worlds
18748 Epistemic logic introduced impossible worlds [Horsten/Pettigrew]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
18746 Possible worlds models contain sets of possible worlds; this is a large metaphysical commitment [Horsten/Pettigrew]
18750 Using possible worlds for knowledge and morality may be a step too far [Horsten/Pettigrew]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / a. Idealism
6159 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
6152 Minds are rational, conscious, subjective, self-knowing, free, meaningful and self-aware [Rowlands]
15. Nature of Minds / A. Nature of Mind / 6. Anti-Individualism
6173 Content externalism implies that we do not have privileged access to our own minds [Rowlands]
6174 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
6158 Supervenience of mental and physical properties often comes with token-identity of mental and physical particulars [Rowlands]
18. Thought / C. Content / 1. Content
6168 The content of a thought is just the meaning of a sentence [Rowlands]
20. Action / A. Definition of Action / 4. Action as Movement
6167 Action is bodily movement caused by intentional states [Rowlands]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
6177 Moral intuition seems unevenly distributed between people [Rowlands]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
6156 The 17th century reintroduced atoms as mathematical modes of Euclidean space [Rowlands]
26. Natural Theory / B. Natural Kinds / 2. Defining Kinds
6170 Natural kinds are defined by their real essence, as in gold having atomic number 79 [Rowlands]
27. Natural Reality / G. Biology / 4. Ecology
6178 It is common to see the value of nature in one feature, such as life, diversity, or integrity [Rowlands]