Combining Texts

All the ideas for 'Through the Looking Glass', 'What is Analytic Philosophy?' and 'Principles of Arithmetic, by a new method'

expand these ideas     |    start again     |     specify just one area for these texts

10 ideas

1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
22334 Analysis must include definitions, search for simples, concept analysis, and Kant's analysis [Glock]
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]
7. Existence / A. Nature of Existence / 3. Being / e. Being and nothing
21982 I only wish I had such eyes as to see Nobody! It's as much as I can do to see real people. [Carroll,L]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
22332 German and British idealism is not about individual ideas, but the intelligibility of reality [Glock]
18. Thought / D. Concepts / 4. Structure of Concepts / h. Family resemblance
22336 We might say that the family resemblance is just a consequence of meaning-as-use [Glock]
22335 The variety of uses of 'game' may be that it has several meanings, and isn't a single concept [Glock]