Combining Philosophers

All the ideas for Marga Reimer, Danielle Macbeth and R Kaplan / E Kaplan

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11 ideas

3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
19086 Does the pragmatic theory of meaning support objective truth, or make it impossible? [Macbeth]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
15717 Using Choice, you can cut up a small ball and make an enormous one from the pieces [Kaplan/Kaplan]
5. Theory of Logic / F. Referring in Logic / 1. Naming / e. Empty names
18946 Unreflectively, we all assume there are nonexistents, and we can refer to them [Reimer]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
15712 1 and 0, then add for naturals, subtract for negatives, divide for rationals, take roots for irrationals [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
15711 The rationals are everywhere - the irrationals are everywhere else [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
15714 'Commutative' laws say order makes no difference; 'associative' laws say groupings make no difference [Kaplan/Kaplan]
15715 'Distributive' laws say if you add then multiply, or multiply then add, you get the same result [Kaplan/Kaplan]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
19093 Greek mathematics is wholly sensory, where ours is wholly inferential [Macbeth]
14. Science / B. Scientific Theories / 1. Scientific Theory
19091 Seeing reality mathematically makes it an object of thought, not of experience [Macbeth]
14. Science / C. Induction / 3. Limits of Induction
15713 The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan]
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
19088 For pragmatists a concept means its consequences [Macbeth]