Combining Texts

All the ideas for 'works', 'works' and 'The Structure of Appearance'

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14 ideas

2. Reason / A. Nature of Reason / 1. On Reason
For clear questions posed by reason, reason can also find clear answers [Gödel]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / a. Sets as existing
Classes are a host of ethereal, platonic, pseudo entities [Goodman]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Two objects can apparently make up quite distinct arrangements in sets [Goodman, by Burgess/Rosen]
4. Formal Logic / G. Formal Mereology / 1. Mereology
The counties of Utah, and the state, and its acres, are in no way different [Goodman]
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 / E. Nominalism / 2. Resemblance Nominalism
If all and only red things were round things, we would need to specify the 'respect' of the resemblance [Goodman, by Macdonald,C]
Without respects of resemblance, we would collect blue book, blue pen, red pen, red clock together [Goodman, by Macdonald,C]
8. Modes of Existence / E. Nominalism / 3. Predicate Nominalism
If we apply the same word to different things, it is only because we are willing to do so [Goodman, by Macdonald,C]
29. Religion / B. Monotheistic Religion / 4. Christianity / d. Heresy
Philosophers are the forefathers of heretics [Tertullian]
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
I believe because it is absurd [Tertullian]