Combining Philosophers

All the ideas for Anaxarchus, Giuseppe Peano and Bas C. van Fraassen

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19 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
12772 Philosophy is a value- and attitude-driven enterprise [Fraassen]
1. Philosophy / E. Nature of Metaphysics / 2. Possibility of Metaphysics
12771 Is it likely that a successful, coherent, explanatory ontological hypothesis is true? [Fraassen]
1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
12773 Analytic philosophy has an exceptional arsenal of critical tools [Fraassen]
2. Reason / A. Nature of Reason / 6. Coherence
12770 We may end up with a huge theory of carefully constructed falsehoods [Fraassen]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
3338 Numbers have been defined in terms of 'successors' to the concept of 'zero' [Peano, by Blackburn]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
13949 All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R on Peano]
18113 PA concerns any entities which satisfy the axioms [Peano, by Bostock]
17634 Peano axioms not only support arithmetic, but are also fairly obvious [Peano, by Russell]
5897 0 is a non-successor number, all successors are numbers, successors can't duplicate, if P(n) and P(n+1) then P(all-n) [Peano, by Flew]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
15653 We can add Reflexion Principles to Peano Arithmetic, which assert its consistency or soundness [Halbach on Peano]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
17635 Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano]
10. Modality / A. Necessity / 11. Denial of Necessity
14919 Empiricists deny what is unobservable, and reject objective modality [Fraassen]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
6783 To 'accept' a theory is not to believe it, but to believe it empirically adequate [Fraassen, by Bird]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
3061 Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius]
14. Science / B. Scientific Theories / 2. Aim of Science
14917 To accept a scientific theory, we only need to believe that it is empirically adequate [Fraassen]
14. Science / D. Explanation / 3. Best Explanation / c. Against best explanation
6784 Why should the true explanation be one of the few we have actually thought of? [Fraassen, by Bird]
12769 Inference to best explanation contains all sorts of hidden values [Fraassen]
14. Science / D. Explanation / 4. Explanation Doubts / a. Explanation as pragmatic
13066 An explanation is just descriptive information answering a particular question [Fraassen, by Salmon]
12768 We accept many scientific theories without endorsing them as true [Fraassen]