Combining Texts

All the ideas for 'Cardinality, Counting and Equinumerosity', 'What is it like to be a bat?' and 'unfinished dialogue'

expand these ideas     |    start again     |     specify just one area for these texts


17 ideas

3. Truth / D. Coherence Truth / 1. Coherence Truth
All items of possible human knowledge are interconnected, and can be reached by inference [Descartes]
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 / B. Features of Minds / 1. Consciousness / b. Essence of consciousness
An organism is conscious if and only if there is something it is like to be that organism [Nagel]
17. Mind and Body / A. Mind-Body Dualism / 7. Zombies
Can we describe our experiences to zombies? [Nagel]
17. Mind and Body / D. Property Dualism / 6. Mysterianism
Nagel's title creates an impenetrable mystery, by ignoring a bat's ways that may not be "like" anything [Dennett on Nagel]
We can't be objective about experience [Nagel]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / d. Explanatory gap
Physicalism should explain how subjective experience is possible, but not 'what it is like' [Kirk,R on Nagel]