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'fragments/reports', 'Principles of Arithmetic, by a new method' and 'The Ethics'
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8 ideas
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
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17185
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Mathematics deals with the essences and properties of forms [Spinoza]
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6. Mathematics / A. Nature of Mathematics / 2. Geometry
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17222
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The sum of its angles follows from a triangle's nature [Spinoza]
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17197
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The idea of a triangle involves truths about it, so those are part of its essence [Spinoza]
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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
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13949
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All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R on Peano]
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18113
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PA concerns any entities which satisfy the axioms [Peano, by Bostock]
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17634
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Peano axioms not only support arithmetic, but are also fairly obvious [Peano, by Russell]
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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
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15653
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We can add Reflexion Principles to Peano Arithmetic, which assert its consistency or soundness [Halbach on Peano]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
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17635
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Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano]
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