Combining Texts

All the ideas for 'Defending the Axioms', 'Significance of the Kripkean Nec A Posteriori' and 'Introduction to the Philosophy of Mind'

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23 ideas

1. Philosophy / C. History of Philosophy / 5. Modern Philosophy / c. Modern philosophy mid-period
Analytic philosophy loved the necessary a priori analytic, linguistic modality, and rigour [Soames]
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
If philosophy is analysis of meaning, available to all competent speakers, what's left for philosophers? [Soames]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
If two mathematical themes coincide, that suggest a single deep truth [Maddy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
Shadows are supervenient on their objects, but not reducible [Maslin]
7. Existence / D. Theories of Reality / 1. Ontologies
'Ontology' means 'study of things which exist' [Maslin]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / a. Essence as necessary properties
Kripkean essential properties and relations are necessary, in all genuinely possible worlds [Soames]
10. Modality / C. Sources of Modality / 3. Necessity by Convention
A key achievement of Kripke is showing that important modalities are not linguistic in source [Soames]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
Kripkean possible worlds are abstract maximal states in which the real world could have been [Soames]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / d. Other minds by analogy
Analogy to other minds is uncheckable, over-confident and chauvinistic [Maslin]
16. Persons / B. Nature of the Self / 7. Self and Body / b. Self as brain
If we are brains then we never meet each other [Maslin]
16. Persons / C. Self-Awareness / 3. Limits of Introspection
I'm not the final authority on my understanding of maths [Maslin]
17. Mind and Body / D. Property Dualism / 2. Anomalous Monism
Denial of purely mental causation will lead to epiphenomenalism [Maslin]
17. Mind and Body / D. Property Dualism / 3. Property Dualism
Token-identity removes the explanatory role of the physical [Maslin]
19. Language / C. Assigning Meanings / 10. Two-Dimensional Semantics
Two-dimensionalism reinstates descriptivism, and reconnects necessity and apriority to analyticity [Soames]
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
Causality may require that a law is being followed [Maslin]
26. Natural Theory / D. Laws of Nature / 7. Strictness of Laws
Strict laws make causation logically necessary [Maslin]
Strict laws allow no exceptions and are part of a closed system [Maslin]