Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Preface to Great Instauration (Renewal)' and 'Principles of Arithmetic, by a new method'

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9 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
6602 Philosophy is like a statue which is worshipped but never advances [Bacon]
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]
12. Knowledge Sources / B. Perception / 1. Perception
16724 The senses deceive, but also show their own errors [Bacon]
14. Science / A. Basis of Science / 3. Experiment
6603 Nature is revealed when we put it under pressure rather than observe it [Bacon]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
7903 The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]