Combining Texts

All the ideas for 'The Birth of Tragedy', 'works' and 'Prologue to Ordinatio'

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9 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
7848 Philosophy begins in the horror and absurdity of existence [Nietzsche, by Ansell Pearson]
2. Reason / A. Nature of Reason / 1. On Reason
17892 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
9188 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
10620 Originally truth was viewed with total suspicion, and only demonstrability was accepted [Gödel]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
17883 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
17885 Gödel eventually hoped for a generalised completeness theorem leaving nothing undecidable [Gödel, by Koellner]
10614 The real reason for Incompleteness in arithmetic is inability to define truth in a language [Gödel]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
9100 Our intellect only assents to what we believe to be true [William of Ockham]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
9101 Abstractive cognition knows universals abstracted from many singulars [William of Ockham]