Combining Texts

All the ideas for 'fragments/reports', 'First-order Logic, 2nd-order, Completeness' and 'Subjective View: sec qualities and indexicals'

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30 ideas

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]
7. Existence / D. Theories of Reality / 2. Realism
To explain object qualities, primary qualities must be more than mere sources of experience [McGinn]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / b. Primary/secondary
Being red simply consists in looking red [McGinn]
Relativity means differing secondary perceptions are not real disagreements [McGinn]
Phenomenalism is correct for secondary qualities, so scepticism is there impossible [McGinn]
Maybe all possible sense experience must involve both secondary and primary qualities [McGinn]
You understood being red if you know the experience involved; not so with thngs being square [McGinn]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / c. Primary qualities
You don't need to know how a square thing looks or feels to understand squareness [McGinn]
Touch doesn't provide direct experience of primary qualities, because touch feels temperature [McGinn]
We can perceive objectively, because primary qualities are not mind-created [McGinn]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
Lockean secondary qualities (unlike primaries) produce particular sensory experiences [McGinn]
Could there be a mind which lacked secondary quality perception? [McGinn]
Secondary qualities contain information; their variety would be superfluous otherwise [McGinn]
The utility theory says secondary qualities give information useful to human beings [McGinn]
12. Knowledge Sources / B. Perception / 3. Representation
We see objects 'directly' by representing them [McGinn]
18. Thought / A. Modes of Thought / 9. Indexical Thought
Indexical thought is in relation to my self-consciousness [McGinn]
Indexicals do not figure in theories of physics, because they are not explanatory causes [McGinn]
The indexical perspective is subjective, incorrigible and constant [McGinn]
Indexical concepts are indispensable, as we need them for the power to act [McGinn]
19. Language / C. Assigning Meanings / 9. Indexical Semantics
I can know indexical truths a priori, unlike their non-indexical paraphrases [McGinn]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]