Combining Texts

All the ideas for 'Contrib to Critique of Hegel's Phil of Right', 'Deflationary Metaontology of Thomasson' and 'Principles of Arithmetic, by a new method'

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10 ideas

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]
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]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
No sortal could ever exactly pin down which set of particles count as this 'cup' [Schaffer,J]
9. Objects / F. Identity among Objects / 6. Identity between Objects
Identities can be true despite indeterminate reference, if true under all interpretations [Schaffer,J]
24. Political Theory / C. Ruling a State / 4. Changing the State / c. Revolution
The middle class gain freedom through property, but workers can only free all of humanity [Marx, by Singer]
Theory is as much a part of a revolution as material force is [Marx]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
Religion is the opium of the people, and real happiness requires its abolition [Marx]