Combining Philosophers

All the ideas for Daniel Jacobson, Richard Jeffrey and Giuseppe Peano

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17 ideas

1. Philosophy / D. Nature of Philosophy / 8. Humour
Jokes can sometimes be funny because they are offensive [Jacobson,D]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
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
All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R on Peano]
PA concerns any entities which satisfy the axioms [Peano, by Bostock]
Peano axioms not only support arithmetic, but are also fairly obvious [Peano, by Russell]
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
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
Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / b. Worlds as fictions
A possible world can be seen as a complete and consistent novel [Jeffrey]
14. Science / C. Induction / 6. Bayes's Theorem
Instead of gambling, Jeffrey made the objects of Bayesian preference to be propositions [Jeffrey, by Davidson]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
We don't often respond to events in art as if they were real events [Jacobson,D]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Audiences can be too moral [Jacobson,D]
'Autonomism' says the morality is irrelevant to the aesthetics [Jacobson,D]
Moral defects of art can be among its aesthetic virtues [Jacobson,D]
Immoral art encourages immoral emotions [Jacobson,D]
Moderate moralism says moral qualities can sometimes also be aesthetic qualities [Jacobson,D]
We can judge art ethically, or rate its ethical influence, or assess its quality via its ethics [Jacobson,D]