Combining Texts

All the ideas for 'The Mystery of Consciousness', 'Cardinality, Counting and Equinumerosity' and 'talk'

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25 ideas

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]
7. Existence / C. Structure of Existence / 2. Reduction
Reduction is either by elimination, or by explanation [Searle]
Eliminative reduction needs a gap between appearance and reality, as in sunsets [Searle]
8. Modes of Existence / B. Properties / 3. Types of Properties
A property is 'emergent' if it is caused by elements of a system, when the elements lack the property [Searle]
15. Nature of Minds / A. Nature of Mind / 5. Unity of Mind
Explanation of how we unify our mental stimuli into a single experience is the 'binding problem' [Searle]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / a. Consciousness
A system is either conscious or it isn't, though the intensity varies a lot [Searle]
Consciousness has a first-person ontology, which only exists from a subjective viewpoint [Searle]
There isn't one consciousness (information-processing) which can be investigated, and another (phenomenal) which can't [Searle]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / d. Purpose of consciousness
A very powerful computer might have its operations restricted by the addition of consciousness [Clark,T]
15. Nature of Minds / B. Features of Minds / 5. Qualia / a. Nature of qualia
The use of 'qualia' seems to imply that consciousness and qualia are separate [Searle]
17. Mind and Body / C. Functionalism / 7. Chinese Room
I now think syntax is not in the physics, but in the eye of the beholder [Searle]
17. Mind and Body / D. Property Dualism / 1. Reductionism critique
Consciousness has a first-person ontology, so it cannot be reduced without omitting something [Searle]
17. Mind and Body / D. Property Dualism / 4. Emergentism
There is non-event causation between mind and brain, as between a table and its solidity [Searle]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
The pattern of molecules in the sea is much more complex than the complexity of brain neurons [Searle]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / a. Physicalism critique
If tree rings contain information about age, then age contains information about rings [Searle]