Combining Philosophers

All the ideas for Jeremiah, Herman Cappelen and Richard G. Heck

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16 ideas

2. Reason / E. Argument / 7. Thought Experiments
So-called 'though experiments' are just philosophers observing features of the world [Cappelen]
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]
Counting is the assignment of successively larger cardinal numbers to collections [Heck]
Is counting basically mindless, and independent of the cardinality involved? [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]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
The word 'intuitive' often plays not role at all in arguments, and can be removed [Cappelen]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
Jeremiah implied a link between weakness and goodness, and the evil of the state [Jeremiah, by Johnson,P]
28. God / A. Divine Nature / 3. Divine Perfections
Do I not fill heaven and earth? saith the Lord [Jeremiah]
28. God / C. Attitudes to God / 3. Deism
Am I a God afar off, and not a God close at hand? [Jeremiah]