Combining Texts

All the ideas for 'The Mind and the Soul', 'A Plea for Substitutional Quantification' and 'Principles of Arithmetic, by a new method'

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12 ideas

4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
9470 Modal logic is not an extensional language [Parsons,C]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
9469 Substitutional existential quantifier may explain the existence of linguistic entities [Parsons,C]
9468 On the substitutional interpretation, '(∃x) Fx' is true iff a closed term 't' makes Ft true [Parsons,C]
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 / 1. Nature of Properties
9295 Not only substances have attributes; events, actions, states and qualities can have them [Teichmann]
17. Mind and Body / A. Mind-Body Dualism / 2. Interactionism
9293 Body-spirit interaction ought to result in losses and increases of energy in the material world [Teichmann]
29. Religion / D. Religious Issues / 2. Immortality / b. Soul
9292 The Soul has no particular capacity (in the way thinking belongs to the mind) [Teichmann]
9294 No individuating marks distinguish between Souls [Teichmann]