Combining Texts

All the ideas for 'On Motion', 'works' and 'Does Emp.Knowledge have Foundation?'

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10 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 / c. Empirical foundations
If observation is knowledge, it is not just an experience; it is a justification in the space of reasons [Sellars]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / f. Foundationalism critique
Observations like 'this is green' presuppose truths about what is a reliable symptom of what [Sellars]
18. Thought / D. Concepts / 4. Structure of Concepts / f. Theory theory of concepts
The concept of 'green' involves a battery of other concepts [Sellars]
27. Natural Reality / B. Modern Physics / 1. Relativity / a. Special relativity
Motion is not absolute, but consists in relation [Leibniz]