Combining Texts

All the ideas for 'On What Grounds What', 'The Later Works (17 vols, ed Boydston)' and 'Cardinality, Counting and Equinumerosity'

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34 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
22864 Philosophy is the study and criticsm of cultural beliefs, to achieve new possibilities [Dewey]
1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
13734 Modern Quinean metaphysics is about what exists, but Aristotelian metaphysics asks about grounding [Schaffer,J]
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
13751 If you tore the metaphysics out of philosophy, the whole enterprise would collapse [Schaffer,J]
2. Reason / B. Laws of Thought / 6. Ockham's Razor
13743 We should not multiply basic entities, but we can have as many derivative entities as we like [Schaffer,J]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
22873 Liberalism should improve the system, and not just ameliorate it [Dewey]
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]
17456 Counting is the assignment of successively larger cardinal numbers to collections [Heck]
17455 Is counting basically mindless, and independent of the cardinality involved? [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 / a. For mathematical platonism
13741 If 'there are red roses' implies 'there are roses', then 'there are prime numbers' implies 'there are numbers' [Schaffer,J]
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 / 1. Grounding / a. Nature of grounding
13748 Grounding is unanalysable and primitive, and is the basic structuring concept in metaphysics [Schaffer,J]
7. Existence / C. Structure of Existence / 5. Supervenience / a. Nature of supervenience
13747 Supervenience is just modal correlation [Schaffer,J]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
13744 The cosmos is the only fundamental entity, from which all else exists by abstraction [Schaffer,J]
7. Existence / E. Categories / 4. Category Realism
13739 Maybe categories are just the different ways that things depend on basic substances [Schaffer,J]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
13742 There exist heaps with no integral unity, so we should accept arbitrary composites in the same way [Schaffer,J]
13752 The notion of 'grounding' can explain integrated wholes in a way that mere aggregates can't [Schaffer,J]
10. Modality / E. Possible worlds / 1. Possible Worlds / b. Impossible worlds
13749 Belief in impossible worlds may require dialetheism [Schaffer,J]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
22869 Knowledge is either the product of competent enquiry, or it is meaningless [Dewey]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
22867 The quest for certainty aims for peace, and avoidance of the stress of action [Dewey]
11. Knowledge Aims / B. Certain Knowledge / 2. Common Sense Certainty
13740 'Moorean certainties' are more credible than any sceptical argument [Schaffer,J]
11. Knowledge Aims / B. Certain Knowledge / 3. Fallibilism
22870 No belief can be so settled that it is not subject to further inquiry [Dewey]
15. Nature of Minds / A. Nature of Mind / 1. Mind / a. Mind
22866 Mind is never isolated, but only exists in its interactions [Dewey]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
22872 Liberals aim to allow individuals to realise their capacities [Dewey]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
22880 The things in civilisation we prize are the products of other members of our community [Dewey]
28. God / A. Divine Nature / 2. Divine Nature
22879 'God' is an imaginative unity of ideal values [Dewey]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
22877 We should try attaching the intensity of religious devotion to intelligent social action [Dewey]
22878 Religions are so shockingly diverse that they have no common element [Dewey]