Combining Texts

All the ideas for 'In Praed.', 'First-order Logic, 2nd-order, Completeness' and 'The Concept of Mind'

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22 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
Philosophy aims to become more disciplined about categories [Ryle]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Henkin semantics has a second domain of predicates and relations (in upper case) [Rossberg]
Second-order logic needs the sets, and its consequence has epistemological problems [Rossberg]
There are at least seven possible systems of semantics for second-order logic [Rossberg]
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
Logical consequence is intuitively semantic, and captured by model theory [Rossberg]
5. Theory of Logic / B. Logical Consequence / 3. Deductive Consequence |-
Γ |- S says S can be deduced from Γ; Γ |= S says a good model for Γ makes S true [Rossberg]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
In proof-theory, logical form is shown by the logical constants [Rossberg]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
A model is a domain, and an interpretation assigning objects, predicates, relations etc. [Rossberg]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
If models of a mathematical theory are all isomorphic, it is 'categorical', with essentially one model [Rossberg]
5. Theory of Logic / K. Features of Logics / 4. Completeness
Completeness can always be achieved by cunning model-design [Rossberg]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
A deductive system is only incomplete with respect to a formal semantics [Rossberg]
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]
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
Substance is an intrinsic thing, so parts of substances can't also be intrinsic things [Duns Scotus]
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
We cannot introspect states of anger or panic [Ryle]
Reporting on myself has the same problems as reporting on you [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]