Combining Texts

All the ideas for 'fragments/reports', 'Cardinality, Counting and Equinumerosity' and 'Brainchildren'

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20 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
23367 Even pointing a finger should only be done for a reason [Epictetus]
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]
10. Modality / D. Knowledge of Modality / 1. A Priori Necessary
2526 Philosophers regularly confuse failures of imagination with insights into necessity [Dennett]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / f. Foundationalism critique
2523 That every mammal has a mother is a secure reality, but without foundations [Dennett]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / a. Consciousness
2528 Does consciousness need the concept of consciousness? [Dennett]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / c. Parts of consciousness
2525 Maybe language is crucial to consciousness [Dennett]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
2527 Unconscious intentionality is the foundation of the mind [Dennett]
17. Mind and Body / C. Functionalism / 1. Functionalism
2530 Could a robot be made conscious just by software? [Dennett]
18. Thought / B. Mechanics of Thought / 4. Language of Thought
2524 A language of thought doesn't explain content [Dennett]
18. Thought / D. Concepts / 5. Concepts and Language / c. Concepts without language
2529 Maybe there can be non-conscious concepts (e.g. in bees) [Dennett]