Combining Texts

All the ideas for 'Leibniz: Guide for the Perplexed', 'The soul's dependence on the body' and 'Russell's Metaphysical Logic'

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19 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
Philosophy must start from clearly observed facts [Galen]
2. Reason / D. Definition / 8. Impredicative Definition
'Impredictative' definitions fix a class in terms of the greater class to which it belongs [Linsky,B]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
Reducibility says any impredicative function has an appropriate predicative replacement [Linsky,B]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / c. Theory of definite descriptions
Definite descriptions theory eliminates the King of France, but not the Queen of England [Linsky,B]
5. Theory of Logic / I. Semantics of Logic / 5. Extensionalism
Extensionalism means what is true of a function is true of coextensive functions [Linsky,B]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
The task of logicism was to define by logic the concepts 'number', 'successor' and '0' [Linsky,B]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Higher types are needed to distinguished intensional phenomena which are coextensive [Linsky,B]
Types are 'ramified' when there are further differences between the type of quantifier and its range [Linsky,B]
The ramified theory subdivides each type, according to the range of the variables [Linsky,B]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Did logicism fail, when Russell added three nonlogical axioms, to save mathematics? [Linsky,B]
For those who abandon logicism, standard set theory is a rival option [Linsky,B]
8. Modes of Existence / B. Properties / 11. Properties as Sets
Construct properties as sets of objects, or say an object must be in the set to have the property [Linsky,B]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
Substance needs independence, unity, and stability (for individuation); also it is a subject, for predicates [Perkins]
15. Nature of Minds / A. Nature of Mind / 1. Mind / c. Features of mind
The spirit in the soul wants freedom, power and honour [Galen]
15. Nature of Minds / A. Nature of Mind / 8. Brain
Stopping the heart doesn't terminate activity; pressing the brain does that [Galen, by Cobb]
15. Nature of Minds / C. Capacities of Minds / 1. Faculties
Philosophers think faculties are in substances, and invent a faculty for every activity [Galen]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
The brain contains memory and reason, and is the source of sensation and decision [Galen]
18. Thought / A. Modes of Thought / 5. Rationality / a. Rationality
The rational part of the soul is the desire for truth, understanding and recollection [Galen]
25. Social Practice / D. Justice / 3. Punishment / a. Right to punish
We execute irredeemable people, to protect ourselves, as a deterrent, and ending a bad life [Galen]