Combining Texts

All the ideas for 'Metaphysics: an introduction', 'Principles of Arithmetic, by a new method' and 'On Minerals'

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14 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
18859 Metaphysics is a quest for truthmakers [Tallant]
2. Reason / D. Definition / 12. Paraphrase
18861 Maybe number statements can be paraphrased into quantifications plus identities [Tallant]
3. Truth / B. Truthmakers / 3. Truthmaker Maximalism
18866 Maybe only 'positive' truths need truth-makers [Tallant]
3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
18860 A truthmaker is the minimal portion of reality that will do the job [Tallant]
3. Truth / B. Truthmakers / 12. Rejecting Truthmakers
18863 What is the truthmaker for a possible new power? [Tallant]
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]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
18864 The wisdom of Plato and of Socrates are not the same property [Tallant]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
18865 Substance must have two properties: individuation, and property-bearing [Tallant]
9. Objects / C. Structure of Objects / 2. Hylomorphism / a. Hylomorphism
16756 Substantial forms must exist, to explain the stability of metals like silver and tin [Albertus Magnus]
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
18862 Are propositions all the thoughts and sentences that are possible? [Tallant]