Combining Texts

All the ideas for 'The Evolution of Modern Metaphysics', 'Cardinality, Counting and Equinumerosity' and 'Introduction to the Philosophy of Mind'

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23 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
21959 Metaphysics is the most general attempt to make sense of things [Moore,AW]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
17453 The meaning of a number isn't just the numerals leading up to it [Heck]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / f. Cardinal numbers
17457 A basic grasp of cardinal numbers needs an understanding of equinumerosity [Heck]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
17448 In counting, numerals are used, not mentioned (as objects that have to correlated) [Heck]
17455 Is counting basically mindless, and independent of the cardinality involved? [Heck]
17456 Counting is the assignment of successively larger cardinal numbers to collections [Heck]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
17450 Understanding 'just as many' needn't involve grasping one-one correspondence [Heck]
17451 We can know 'just as many' without the concepts of equinumerosity or numbers [Heck]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
17459 Frege's Theorem explains why the numbers satisfy the Peano axioms [Heck]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
17454 Children can use numbers, without a concept of them as countable objects [Heck]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
17458 Equinumerosity is not the same concept as one-one correspondence [Heck]
17449 We can understand cardinality without the idea of one-one correspondence [Heck]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
3523 Shadows are supervenient on their objects, but not reducible [Maslin]
7. Existence / D. Theories of Reality / 1. Ontologies
3517 'Ontology' means 'study of things which exist' [Maslin]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
21958 Appearances are nothing beyond representations, which is transcendental ideality [Moore,AW]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / d. Other minds by analogy
3538 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
3540 If we are brains then we never meet each other [Maslin]
16. Persons / C. Self-Awareness / 3. Limits of Introspection
3518 I'm not the final authority on my understanding of maths [Maslin]
17. Mind and Body / D. Property Dualism / 2. Anomalous Monism
3530 Denial of purely mental causation will lead to epiphenomenalism [Maslin]
17. Mind and Body / D. Property Dualism / 3. Property Dualism
3520 Token-identity removes the explanatory role of the physical [Maslin]
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
3528 Causality may require that a law is being followed [Maslin]
26. Natural Theory / D. Laws of Nature / 7. Strictness of Laws
3525 Strict laws make causation logically necessary [Maslin]
3527 Strict laws allow no exceptions and are part of a closed system [Maslin]