Combining Texts

All the ideas for 'In Praed.', 'Principles of Arithmetic, by a new method' and 'Interview with Baggini and Stangroom'

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8 ideas

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]
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]
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
16776 Substance is an intrinsic thing, so parts of substances can't also be intrinsic things [Duns Scotus]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
6853 Consequentialism wrongly assumes a clear line between an act and its consequences [Crisp,R]
27. Natural Reality / G. Biology / 4. Ecology
6854 Does the environment have value in itself? [Crisp,R]