Combining Texts

All the ideas for 'Changes in Events and Changes in Things', 'The Value of Knowledge and the Pursuit of Understanding' and 'works'

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9 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]
7. Existence / D. Theories of Reality / 8. Facts / b. Types of fact
That Queen Anne is dead is a 'general fact', not a fact about Queen Anne [Prior,AN]
11. Knowledge Aims / A. Knowledge / 2. Understanding
Understanding is seeing coherent relationships in the relevant information [Kvanvig]
27. Natural Reality / D. Time / 2. Passage of Time / e. Tensed (A) series
'Thank goodness that's over' is not like 'thank goodness that happened on Friday' [Prior,AN]