Combining Texts

All the ideas for 'Open Society and Its Enemies:Hegel and Marx', 'First-order Logic, 2nd-order, Completeness' and 'Ecce Homo'

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19 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
4424 A warlike philosopher challenges problems to single combat [Nietzsche]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
10751 Second-order logic needs the sets, and its consequence has epistemological problems [Rossberg]
10757 Henkin semantics has a second domain of predicates and relations (in upper case) [Rossberg]
10759 There are at least seven possible systems of semantics for second-order logic [Rossberg]
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
10753 Logical consequence is intuitively semantic, and captured by model theory [Rossberg]
5. Theory of Logic / B. Logical Consequence / 3. Deductive Consequence |-
10752 Γ |- S says S can be deduced from Γ; Γ |= S says a good model for Γ makes S true [Rossberg]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
10754 In proof-theory, logical form is shown by the logical constants [Rossberg]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
10756 A model is a domain, and an interpretation assigning objects, predicates, relations etc. [Rossberg]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
10758 If models of a mathematical theory are all isomorphic, it is 'categorical', with essentially one model [Rossberg]
5. Theory of Logic / K. Features of Logics / 4. Completeness
10761 Completeness can always be achieved by cunning model-design [Rossberg]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
10755 A deductive system is only incomplete with respect to a formal semantics [Rossberg]
9. Objects / D. Essence of Objects / 15. Against Essentialism
5451 Popper felt that ancient essentialism was a bar to progress [Popper, by Mautner]
22. Metaethics / B. Value / 2. Values / i. Self-interest
2886 The distinction between egoistic and non-egoistic acts is absurd [Nietzsche]
22. Metaethics / C. The Good / 1. Goodness / i. Moral luck
4426 A bad result distorts one's judgement about the virtue of what one has done [Nietzsche]
23. Ethics / C. Virtue Theory / 3. Virtues / f. Compassion
4425 The overcoming of pity I count among the noble virtues [Nietzsche]
23. Ethics / F. Existentialism / 6. Authentic Self
20132 To become what you are you must have no self-awareness [Nietzsche]
23. Ethics / F. Existentialism / 8. Eternal Recurrence
20144 Eternal recurrence is the highest attainable affirmation [Nietzsche]
25. Social Practice / E. Policies / 5. Education / c. Teaching
2889 One repays a teacher badly if one remains only a pupil [Nietzsche]
28. God / C. Attitudes to God / 5. Atheism
2887 I am not an atheist because of reasoning or evidence, but because of instinct [Nietzsche]