Combining Texts

All the ideas for '27: Book of Daniel', 'First-Order Logic' and 'Ethics of the Concern for Self as Freedom'

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17 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Critical philosophy is what questions domination at every level [Foucault]
1. Philosophy / H. Continental Philosophy / 1. Continental Philosophy
Philosophy and politics are fundamentally linked [Foucault]
2. Reason / A. Nature of Reason / 2. Logos
When logos controls our desires, we have actually become the logos [Foucault]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Logic is the study of sound argument, or of certain artificial languages (or applying the latter to the former) [Hodges,W]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
A formula needs an 'interpretation' of its constants, and a 'valuation' of its variables [Hodges,W]
There are three different standard presentations of semantics [Hodges,W]
I |= φ means that the formula φ is true in the interpretation I [Hodges,W]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
Up Löwenheim-Skolem: if infinite models, then arbitrarily large models [Hodges,W]
Down Löwenheim-Skolem: if a countable language has a consistent theory, that has a countable model [Hodges,W]
5. Theory of Logic / K. Features of Logics / 6. Compactness
If a first-order theory entails a sentence, there is a finite subset of the theory which entails it [Hodges,W]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
A 'set' is a mathematically well-behaved class [Hodges,W]
13. Knowledge Criteria / E. Relativism / 1. Relativism
Saying games of truth were merely power relations would be a horrible exaggeration [Foucault]
16. Persons / E. Rejecting the Self / 2. Self as Social Construct
A subject is a form which can change, in (say) political or sexual situations [Foucault]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics
Ethics is the conscious practice of freedom [Foucault]
24. Political Theory / C. Ruling a State / 1. Social Power
The aim is not to eliminate power relations, but to reduce domination [Foucault]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
The idea of liberation suggests there is a human nature which has been repressed [Foucault]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
Resurrection developed in Judaism as a response to martyrdoms, in about 160 BCE [Anon (Dan), by Watson]