Combining Philosophers

All the ideas for Anaxarchus, Wilfrid Hodges and G Deleuze / F Guattari

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32 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
8220 Philosophy is in a perpetual state of digression [Deleuze/Guattari]
1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
8217 Philosophy is a concept-creating discipline [Deleuze/Guattari]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
8242 Philosophy aims at what is interesting, remarkable or important - not at knowledge or truth [Deleuze/Guattari]
1. Philosophy / H. Continental Philosophy / 1. Continental Philosophy
8223 The plague of philosophy is those who criticise without creating, and defend dead concepts [Deleuze/Guattari]
1. Philosophy / H. Continental Philosophy / 2. Phenomenology
8247 Phenomenology needs art as logic needs science [Deleuze/Guattari]
2. Reason / C. Styles of Reason / 3. Eristic
8224 'Eris' is the divinity of conflict, the opposite of Philia, the god of friendship [Deleuze/Guattari]
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 / 3. Value of Logic
8219 Logic has an infantile idea of philosophy [Deleuze/Guattari]
8246 Logic hates philosophy, and wishes to supplant it [Deleuze/Guattari]
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]
11. Knowledge Aims / B. Certain Knowledge / 4. The Cogito
8221 We cannot judge the Cogito. Must we begin? Must we start from certainty? Can 'I' relate to thought? [Deleuze/Guattari]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
3061 Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius]
14. Science / B. Scientific Theories / 4. Paradigm
8222 Concepts are superior because they make us more aware, and change our thinking [Deleuze/Guattari]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / a. Other minds
8218 Other people completely revise our perceptions, because they are possible worlds [Deleuze/Guattari]
18. Thought / C. Content / 6. Broad Content
8248 Phenomenology says thought is part of the world [Deleuze/Guattari]
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
8245 The logical attitude tries to turn concepts into functions, when they are really forms or forces [Deleuze/Guattari]
24. Political Theory / D. Ideologies / 1. Ideology
21906 Political theory should not focus on the state or economy, but on the small scale of power [Deleuze/Guattari, by May]
28. God / C. Attitudes to God / 5. Atheism
8243 Atheism is the philosopher's serenity, and philosophy's achievement [Deleuze/Guattari]