Combining Texts

All the ideas for 'Russell's Mathematical Logic', 'The Concept of Mind' and 'talk'

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21 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
Philosophy aims to become more disciplined about categories [Ryle]
2. Reason / D. Definition / 8. Impredicative Definition
Impredicative Definitions refer to the totality to which the object itself belongs [Gödel]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
In simple type theory the axiom of Separation is better than Reducibility [Gödel, by Linsky,B]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
Mathematical Logic is a non-numerical branch of mathematics, and the supreme science [Gödel]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
Reference to a totality need not refer to a conjunction of all its elements [Gödel]
5. Theory of Logic / K. Features of Logics / 8. Enumerability
A logical system needs a syntactical survey of all possible expressions [Gödel]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
The generalized Continuum Hypothesis asserts a discontinuity in cardinal numbers [Gödel]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Some arithmetical problems require assumptions which transcend arithmetic [Gödel]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Mathematical objects are as essential as physical objects are for perception [Gödel]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
Impredicative definitions are admitted into ordinary mathematics [Gödel]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / e. Dispositions as potential
A dispositional property is not a state, but a liability to be in some state, given a condition [Ryle]
8. Modes of Existence / C. Powers and Dispositions / 7. Against Powers
No physical scientist now believes in an occult force-exerting agency [Ryle]
15. Nature of Minds / A. Nature of Mind / 3. Mental Causation
Can one movement have a mental and physical cause? [Ryle]
16. Persons / C. Self-Awareness / 3. Limits of Introspection
Reporting on myself has the same problems as reporting on you [Ryle]
We cannot introspect states of anger or panic [Ryle]
16. Persons / F. Free Will / 5. Against Free Will
I cannot prepare myself for the next thought I am going to think [Ryle]
17. Mind and Body / A. Mind-Body Dualism / 1. Dualism
Dualism is a category mistake [Ryle]
17. Mind and Body / B. Behaviourism / 2. Potential Behaviour
Behaviour depends on desires as well as beliefs [Chalmers on Ryle]
You can't explain mind as dispositions, if they aren't real [Benardete,JA on Ryle]
17. Mind and Body / B. Behaviourism / 4. Behaviourism Critique
How can behaviour be the cause of behaviour? [Chalmers on Ryle]
25. Social Practice / D. Justice / 1. Basis of justice
If everyone is treated with equal injustice, at least that is fair [Morgenbesser]