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All the ideas for 'Dialogue on human freedom and origin of evil', 'Philosophy' and 'Principles of Arithmetic, by a new method'

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11 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry
13163 Circles must be bounded, so cannot be infinite [Leibniz]
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]
11. Knowledge Aims / A. Knowledge / 7. Knowledge First
23888 Knowledge is beyond question, as an unavoidable component of thinking [Weil]
16. Persons / F. Free Will / 6. Determinism / b. Fate
13162 Sloth's Syllogism: either it can't happen, or it is inevitable without my effort [Leibniz]
21. Aesthetics / B. Nature of Art / 1. Defining Art
23887 Art (like philosophy) establishes a relation between world and self, and between oneself and others [Weil]
29. Religion / D. Religious Issues / 3. Problem of Evil / a. Problem of Evil
19339 Evil is a negation of good, which arises from non-being [Leibniz]
13164 God only made sin possible because a much greater good can be derived from it [Leibniz]