Combining Texts

All the ideas for 'Dialektik', 'Principles of Arithmetic, by a new method' and 'Morality and Human Sexuality'

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8 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]
19. Language / E. Analyticity / 4. Analytic/Synthetic Critique
Concepts are only analytic once the predicate is absorbed into the subject [Schleiermacher]
25. Social Practice / F. Life Issues / 5. Sexual Morality
Why do sexual relationships need permanence, if other relationships don't? [Punzo]
Does engaging in sexual intercourse really need no more thought than playing tennis? [Punzo]