Combining Texts

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

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22 ideas

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 / 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]
15. Nature of Minds / C. Capacities of Minds / 2. Imagination
7647 The imagination alone perceives all objects; it is the soul, playing all its roles [La Mettrie]
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
7645 When falling asleep, the soul becomes paralysed and weak, just like the body [La Mettrie]
17. Mind and Body / C. Functionalism / 2. Machine Functionalism
23225 The soul's faculties depend on the brain, and are simply the brain's organisation [La Mettrie]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
7652 Man is a machine, and there exists only one substance, diversely modified [La Mettrie]
18. Thought / A. Modes of Thought / 5. Rationality / a. Rationality
7650 All thought is feeling, and rationality is the sensitive soul contemplating reasoning [La Mettrie]
18. Thought / B. Mechanics of Thought / 6. Artificial Thought / a. Artificial Intelligence
7651 With wonderful new machines being made, a speaking machine no longer seems impossible [La Mettrie]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / c. Purpose denied
7648 The sun and rain weren't made for us; they sometimes burn us, or spoil our seeds [La Mettrie]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
1748 Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / G. Biology / 3. Evolution
5989 Archelaus said life began in a primeval slime [Archelaus, by Schofield]
7646 There is no abrupt transition from man to animal; only language has opened a gap [La Mettrie]
29. Religion / D. Religious Issues / 2. Immortality / b. Soul
7649 There is no clear idea of the soul, which should only refer to our thinking part [La Mettrie]