Combining Texts

All the ideas for 'Intro to 'Self-Representational Consciousness'', 'works' and 'Against the Mathematicians'

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13 ideas

2. Reason / A. Nature of Reason / 1. On Reason
For clear questions posed by reason, reason can also find clear answers [Gödel]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Gödel proved that first-order logic is complete, and second-order logic incomplete [Gödel, by Dummett]
5. Theory of Logic / I. Semantics of Logic / 2. Formal Truth
Originally truth was viewed with total suspicion, and only demonstrability was accepted [Gödel]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
Gödel's Theorems did not refute the claim that all good mathematical questions have answers [Gödel, by Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Gödel eventually hoped for a generalised completeness theorem leaving nothing undecidable [Gödel, by Koellner]
The real reason for Incompleteness in arithmetic is inability to define truth in a language [Gödel]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / b. Basic beliefs
Some things are their own criterion, such as straightness, a set of scales, or light [Sext.Empiricus]
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
How can sceptics show there is no criterion? Weak without, contradiction with [Sext.Empiricus]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / e. Cause of consciousness
Consciousness is reductively explained either by how it represents, or how it is represented [Kriegel/Williford]
Experiences can be represented consciously or unconsciously, so representation won't explain consciousness [Kriegel/Williford]
Red tomato experiences are conscious if the state represents the tomato and itself [Kriegel/Williford]
How is self-representation possible, does it produce a regress, and is experience like that? [Kriegel/Williford]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / f. Higher-order thought
Unfortunately, higher-order representations could involve error [Kriegel/Williford]