Combining Texts

All the ideas for 'The Origin of the Work of Art', 'Naturalizing the Mind' and 'Alfred Tarski: life and logic'

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23 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / b. Philosophy as transcendent
Later Heidegger sees philosophy as more like poetry than like science [Heidegger, by Polt]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The Axiom of Choice is consistent with the other axioms of set theory [Feferman/Feferman]
Axiom of Choice: a set exists which chooses just one element each of any set of sets [Feferman/Feferman]
Platonist will accept the Axiom of Choice, but others want criteria of selection or definition [Feferman/Feferman]
The Trichotomy Principle is equivalent to the Axiom of Choice [Feferman/Feferman]
Cantor's theories needed the Axiom of Choice, but it has led to great controversy [Feferman/Feferman]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
A structure is a 'model' when the axioms are true. So which of the structures are models? [Feferman/Feferman]
Tarski and Vaught established the equivalence relations between first-order structures [Feferman/Feferman]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
Löwenheim-Skolem says if the sentences are countable, so is the model [Feferman/Feferman]
Löwenheim-Skolem Theorem, and Gödel's completeness of first-order logic, the earliest model theory [Feferman/Feferman]
5. Theory of Logic / K. Features of Logics / 4. Completeness
If a sentence holds in every model of a theory, then it is logically derivable from the theory [Feferman/Feferman]
5. Theory of Logic / K. Features of Logics / 7. Decidability
'Recursion theory' concerns what can be solved by computing machines [Feferman/Feferman]
Both Principia Mathematica and Peano Arithmetic are undecidable [Feferman/Feferman]
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
Belief is the power of metarepresentation [Dretske]
11. Knowledge Aims / A. Knowledge / 4. Belief / f. Animal beliefs
A mouse hearing a piano played does not believe it, because it lacks concepts and understanding [Dretske]
15. Nature of Minds / A. Nature of Mind / 1. Mind / d. Location of mind
Representations are in the head, but their content is not, as stories don't exist in their books [Dretske]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / d. Purpose of consciousness
Some activities are performed better without consciousness of them [Dretske]
15. Nature of Minds / B. Features of Minds / 5. Qualia / a. Nature of qualia
Qualia are just the properties objects are represented as having [Dretske]
16. Persons / C. Self-Awareness / 1. Introspection
In a representational theory of mind, introspection is displaced perception [Dretske]
Introspection is the same as the experience one is introspecting [Dretske]
Introspection does not involve looking inwards [Dretske]
17. Mind and Body / C. Functionalism / 2. Machine Functionalism
A representational theory of the mind is an externalist theory of the mind [Dretske]
17. Mind and Body / E. Mind as Physical / 3. Eliminativism
All mental facts are representation, which consists of informational functions [Dretske]