Combining Texts

All the ideas for 'The Sign of Four', 'Naturalizing the Mind' and 'First-order Logic, 2nd-order, Completeness'

expand these ideas     |    start again     |     specify just one area for these texts

21 ideas

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
10751 Second-order logic needs the sets, and its consequence has epistemological problems [Rossberg]
10757 Henkin semantics has a second domain of predicates and relations (in upper case) [Rossberg]
10759 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
10753 Logical consequence is intuitively semantic, and captured by model theory [Rossberg]
5. Theory of Logic / B. Logical Consequence / 3. Deductive Consequence |-
10752 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
10754 In proof-theory, logical form is shown by the logical constants [Rossberg]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
10756 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
10758 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
10761 Completeness can always be achieved by cunning model-design [Rossberg]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
10755 A deductive system is only incomplete with respect to a formal semantics [Rossberg]
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
5806 Belief is the power of metarepresentation [Dretske]
11. Knowledge Aims / A. Knowledge / 4. Belief / f. Animal beliefs
5801 A mouse hearing a piano played does not believe it, because it lacks concepts and understanding [Dretske]
14. Science / C. Induction / 1. Induction
22200 If you eliminate the impossible, the truth will remain, even if it is weird [Conan Doyle]
15. Nature of Minds / A. Nature of Mind / 1. Mind / d. Location of mind
5802 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
5809 Some activities are performed better without consciousness of them [Dretske]
15. Nature of Minds / B. Features of Minds / 5. Qualia / a. Nature of qualia
5808 Qualia are just the properties objects are represented as having [Dretske]
16. Persons / C. Self-Awareness / 1. Introspection
5803 In a representational theory of mind, introspection is displaced perception [Dretske]
5807 Introspection is the same as the experience one is introspecting [Dretske]
5805 Introspection does not involve looking inwards [Dretske]
17. Mind and Body / C. Functionalism / 2. Machine Functionalism
5804 A representational theory of the mind is an externalist theory of the mind [Dretske]
17. Mind and Body / E. Mind as Physical / 3. Eliminativism
5800 All mental facts are representation, which consists of informational functions [Dretske]