Combining Texts

All the ideas for 'The Epic of Gilgamesh', 'Naturalizing the Mind' and 'Higher-Order Logic'

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23 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The axiom of choice is controversial, but it could be replaced [Shapiro]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
First-order logic is Complete, and Compact, with the Löwenheim-Skolem Theorems [Shapiro]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Some say that second-order logic is mathematics, not logic [Shapiro]
If the aim of logic is to codify inferences, second-order logic is useless [Shapiro]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Logical consequence can be defined in terms of the logical terminology [Shapiro]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Second-order variables also range over properties, sets, relations or functions [Shapiro]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
Up Löwenheim-Skolem: if natural numbers satisfy wffs, then an infinite domain satisfies them [Shapiro]
The Löwenheim-Skolem Theorems fail for second-order languages with standard semantics [Shapiro]
The Löwenheim-Skolem theorem seems to be a defect of first-order logic [Shapiro]
Downward Löwenheim-Skolem: if there's an infinite model, there is a countable model [Shapiro]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
Second-order logic has the expressive power for mathematics, but an unworkable model theory [Shapiro]
8. Modes of Existence / B. Properties / 11. Properties as Sets
Logicians use 'property' and 'set' interchangeably, with little hanging on it [Shapiro]
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]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
The gods alone live forever with Shamash. The days of humans are numbered. [Anon (Gilg)]