Combining Philosophers

All the ideas for Archimedes, R Kaplan / E Kaplan and Cheryl Misak

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20 ideas

2. Reason / A. Nature of Reason / 5. Objectivity
23277 Modern pragmatism sees objectivity as possible, despite its gradual evolution [Misak]
3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
19108 Truth is proper assertion, but that has varying standards [Misak]
19094 For pragmatists the loftiest idea of truth is just a feature of what remains forever assertible [Misak]
19105 Truth isn't a grand elusive property, if it is just the aim of our assertions and inquiries [Misak]
19100 Truth makes disagreements matter, or worth settling [Misak]
19099 'True' is used for emphasis, clarity, assertion, comparison, objectivity, meaning, negation, consequence... [Misak]
19103 'That's true' doesn't just refer back to a sentence, but implies sustained evidence for it [Misak]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / a. Tarski's truth definition
19101 Disquotation is bivalent [Misak]
19096 Disquotationalism resembles a telephone directory [Misak]
19106 Disquotations says truth is assertion, and assertion proclaims truth - but what is 'assertion'? [Misak]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
19098 Deflating the correspondence theory doesn't entail deflating all the other theories [Misak]
19104 Deflationism isn't a theory of truth, but an account of its role in natural language [Misak]
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]
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 / 3. Axioms for Geometry
13007 Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
7. Existence / D. Theories of Reality / 4. Anti-realism
19109 The anti-realism debate concerns whether indefeasibility is a plausible aim of inquiry [Misak]
14. Science / C. Induction / 3. Limits of Induction
15713 The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan]