Combining Philosophers

All the ideas for Rescher,N/Oppenheim,P, Lars Svendsen and Wilfrid Hodges

expand these ideas     |    start again     |     specify just one area for these philosophers

28 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]
2. Reason / D. Definition / 7. Contextual Definition
10476 The idea that groups of concepts could be 'implicitly defined' was abandoned [Hodges,W]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
10282 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 / A. Overview of Logic / 5. First-Order Logic
10478 Since first-order languages are complete, |= and |- have the same meaning [Hodges,W]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
10477 |= in model-theory means 'logical consequence' - it holds in all models [Hodges,W]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
10283 A formula needs an 'interpretation' of its constants, and a 'valuation' of its variables [Hodges,W]
10284 There are three different standard presentations of semantics [Hodges,W]
10285 I |= φ means that the formula φ is true in the interpretation I [Hodges,W]
5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction
10474 |= should be read as 'is a model for' or 'satisfies' [Hodges,W]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
10473 Model theory studies formal or natural language-interpretation using set-theory [Hodges,W]
10475 A 'structure' is an interpretation specifying objects and classes of quantification [Hodges,W]
10481 Models in model theory are structures, not sets of descriptions [Hodges,W]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
10288 Down Löwenheim-Skolem: if a countable language has a consistent theory, that has a countable model [Hodges,W]
10289 Up Löwenheim-Skolem: if infinite models, then arbitrarily large models [Hodges,W]
5. Theory of Logic / K. Features of Logics / 6. Compactness
10287 If a first-order theory entails a sentence, there is a finite subset of the theory which entails it [Hodges,W]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
10480 First-order logic can't discriminate between one infinite cardinal and another [Hodges,W]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10286 A 'set' is a mathematically well-behaved class [Hodges,W]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
12887 A whole must have one characteristic, an internal relation, and a structure [Rescher/Oppenheim]
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]