Combining Texts

All the ideas for 'Taking Rights Seriously', 'works' and 'Principle of Life and Plastic Natures'

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16 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]
12. Knowledge Sources / B. Perception / 1. Perception
Not all of perception is accompanied by consciousness [Leibniz]
17. Mind and Body / A. Mind-Body Dualism / 5. Parallelism
Souls act as if there were no bodies, and bodies act as if there were no souls [Leibniz]
22. Metaethics / B. Value / 2. Values / e. Death
Death and generation are just transformations of an animal, augmented or diminished [Leibniz]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
Dworkin believed we should promote equality, to increase autonomy [Dworkin, by Kekes]
25. Social Practice / B. Equalities / 1. Grounds of equality
We can treat people as equals, or actually treat them equally [Dworkin, by Grayling]
Treating people as equals is the one basic value of all plausible political theories [Dworkin, by Kymlicka]
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / a. Early Modern matter
Not all of matter is animated, any more than a pond full of living fish is animated [Leibniz]
Every particle of matter contains organic bodies [Leibniz]
28. God / B. Proving God / 3. Proofs of Evidence / a. Cosmological Proof
Mechanics shows that all motion originates in other motion, so there is a Prime Mover [Leibniz]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
All substances are in harmony, even though separate, so they must have one divine cause [Leibniz]