Combining Texts

All the ideas for 'fragments/reports', 'Russell's Mathematical Logic' and 'Subjective View: sec qualities and indexicals'

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29 ideas

2. Reason / D. Definition / 8. Impredicative Definition
Impredicative Definitions refer to the totality to which the object itself belongs [Gödel]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
In simple type theory the axiom of Separation is better than Reducibility [Gödel, by Linsky,B]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
Mathematical Logic is a non-numerical branch of mathematics, and the supreme science [Gödel]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
Reference to a totality need not refer to a conjunction of all its elements [Gödel]
5. Theory of Logic / K. Features of Logics / 8. Enumerability
A logical system needs a syntactical survey of all possible expressions [Gödel]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
The generalized Continuum Hypothesis asserts a discontinuity in cardinal numbers [Gödel]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Some arithmetical problems require assumptions which transcend arithmetic [Gödel]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Mathematical objects are as essential as physical objects are for perception [Gödel]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
Impredicative definitions are admitted into ordinary mathematics [Gödel]
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
The indexical perspective is subjective, incorrigible and constant [McGinn]
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]
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.]