Combining Philosophers

All the ideas for W Wimsatt/W Beardsley, Juan Comesaa and Giuseppe Peano

expand these ideas     |    start again     |     specify just one area for these philosophers


16 ideas

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]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge
Reliabilist knowledge is evidence based belief, with high conditional probability [Comesaņa]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / b. Anti-reliabilism
In a sceptical scenario belief formation is unreliable, so no beliefs at all are justified? [Comesaņa]
How do we decide which exact process is the one that needs to be reliable? [Comesaņa]
21. Aesthetics / C. Artistic Issues / 1. Artistic Intentions
Intentions either succeed or fail, so external evidence for them is always irrelevant [Wimsatt/Beardsley, by Davies,S]
The author's intentions are irrelevant to the judgement of a work's success [Wimsatt/Beardsley]
Poetry, unlike messages, can be successful without communicating intentions [Wimsatt/Beardsley]
The thoughts of a poem should be imputed to the dramatic speaker, and hardly at all to the poet [Wimsatt/Beardsley]
The intentional fallacy is a romantic one [Wimsatt/Beardsley]
Biography can reveal meanings and dramatic character, as well as possible intentions [Wimsatt/Beardsley]