Combining Texts

All the ideas for 'The Birth of Tragedy', 'works' and 'Relations'

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14 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
Philosophy begins in the horror and absurdity of existence [Nietzsche, by Ansell Pearson]
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]
8. Modes of Existence / A. Relations / 1. Nature of Relations
We want the ontology of relations, not just a formal way of specifying them [Heil]
Two people are indirectly related by height; the direct relation is internal, between properties [Heil]
Maybe all the other features of the world can be reduced to relations [Heil]
8. Modes of Existence / A. Relations / 2. Internal Relations
Truthmaking is a clear example of an internal relation [Heil]
If R internally relates a and b, and you have a and b, you thereby have R [Heil]
In the case of 5 and 6, their relational truthmaker is just the numbers [Heil]
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
If properties are powers, then causal relations are internal relations [Heil]