Combining Texts

All the ideas for 'On Motion', 'First-order Logic, 2nd-order, Completeness' and 'A Philosophy of Boredom'

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22 ideas

1. Philosophy / B. History of Ideas / 5. Later European Thought
9307 Modern Western culture suddenly appeared in Jena in the 1790s [Svendsen]
1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
9297 You can't understand love in terms of 'if and only if...' [Svendsen]
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]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / e. Primary/secondary critique
9308 If subjective and objective begin to merge, then so do primary and secondary qualities [Svendsen]
18. Thought / A. Modes of Thought / 3. Emotions / b. Types of emotion
9309 Emotions have intentional objects, while a mood is objectless [Svendsen]
22. Metaethics / B. Value / 2. Values / e. Death
9304 Death appears to be more frightening the less one has lived [Svendsen]
23. Ethics / F. Existentialism / 4. Boredom
9298 We can be unaware that we are bored [Svendsen]
9301 Boredom is so radical that suicide could not overcome it; only never having existed would do it [Svendsen]
9302 We are bored because everything comes to us fully encoded, and we want personal meaning [Svendsen]
9310 The profoundest boredom is boredom with boredom [Svendsen]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
9311 We have achieved a sort of utopia, and it is boring, so that is the end of utopias [Svendsen]
24. Political Theory / D. Ideologies / 9. Communism
9303 The concept of 'alienation' seems no longer applicable [Svendsen]
27. Natural Reality / B. Modern Physics / 1. Relativity / a. Special relativity
12709 Motion is not absolute, but consists in relation [Leibniz]