Combining Texts

All the ideas for 'On Man (lost)', 'Cardinality, Counting and Equinumerosity' and 'Individuals:Essay in Descript Metaphysics'

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21 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Descriptive metaphysics aims at actual structure, revisionary metaphysics at a better structure [Strawson,P]
1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
Descriptive metaphysics concerns unchanging core concepts and categories [Strawson,P]
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Close examination of actual word usage is the only sure way in philosophy [Strawson,P]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
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
A basic grasp of cardinal numbers needs an understanding of equinumerosity [Heck]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
In counting, numerals are used, not mentioned (as objects that have to correlated) [Heck]
Is counting basically mindless, and independent of the cardinality involved? [Heck]
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
Understanding 'just as many' needn't involve grasping one-one correspondence [Heck]
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
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
Children can use numbers, without a concept of them as countable objects [Heck]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Equinumerosity is not the same concept as one-one correspondence [Heck]
We can understand cardinality without the idea of one-one correspondence [Heck]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / d. Other minds by analogy
I can only apply consciousness predicates to myself if I can apply them to others [Strawson,P]
16. Persons / B. Nature of the Self / 7. Self and Body / a. Self needs body
A person is an entity to which we can ascribe predicates of consciousness and corporeality [Strawson,P]
19. Language / C. Assigning Meanings / 3. Predicates
The idea of a predicate matches a range of things to which it can be applied [Strawson,P]
19. Language / F. Communication / 3. Denial
Contradiction is impossible, since only one side of the argument refers to the true facts [Prodicus, by Didymus the Blind]
28. God / B. Proving God / 3. Proofs of Evidence / c. Teleological Proof critique
People used to think anything helpful to life was a god, as the Egyptians think the Nile a god [Prodicus]
28. God / C. Attitudes to God / 5. Atheism
The gods are just personified human benefits [Prodicus]
He denied the existence of the gods, saying they are just exaltations of things useful for life [Prodicus]