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All the ideas for 'Logical Consequence', 'Consilience' and 'works'

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15 ideas

1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / c. Eighteenth century philosophy
Irony is consciousness of abundant chaos [Schlegel,F]
     Full Idea: Irony is the clear conscousness of eternal agility, of an infinitely abundant chaos.
     From: Friedrich Schlegel (works [1798], Vol 2 p.263), quoted by Ernst Behler - Early German Romanticism p.81
     A reaction: [1800, in Athenaum] The interest here is irony as a reaction to chaos, which has made systematic thought impossible. Do romantics necessarily see reality as beyond our grasp, even if not chaotic? This must be situational, not verbal irony.
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Plato has no system. Philosophy is the progression of a mind and development of thoughts [Schlegel,F]
     Full Idea: Plato had no system, but only a philosophy. The philosophy of a human being is the history, the becoming, the progression of his mind, the gradual formation and development of his thoughts.
     From: Friedrich Schlegel (works [1798], Vol.11 p.118), quoted by Ernst Behler - Early German Romanticism
     A reaction: [1804] Looks like the first sign of rebellion against the idea of having a 'system' in philosophy, making it a key idea of romanticism. Systems are classical? This looks like an early opposition of a historical dimension to static systems. Big idea.
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
'Equivocation' is when terms do not mean the same thing in premises and conclusion [Beall/Restall]
     Full Idea: 'Equivocation' is when the terms do not mean the same thing in the premises and in the conclusion.
     From: JC Beall / G Restall (Logical Consequence [2005], Intro)
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
Formal logic is invariant under permutations, or devoid of content, or gives the norms for thought [Beall/Restall]
     Full Idea: Logic is purely formal either when it is invariant under permutation of object (Tarski), or when it has totally abstracted away from all contents, or it is the constitutive norms for thought.
     From: JC Beall / G Restall (Logical Consequence [2005], 2)
     A reaction: [compressed] The third account sounds rather woolly, and the second one sounds like a tricky operation, but the first one sounds clear and decisive, so I vote for Tarski.
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
Logical consequence needs either proofs, or absence of counterexamples [Beall/Restall]
     Full Idea: Technical work on logical consequence has either focused on proofs, where validity is the existence of a proof of the conclusions from the premises, or on models, which focus on the absence of counterexamples.
     From: JC Beall / G Restall (Logical Consequence [2005], 3)
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
Logical consequence is either necessary truth preservation, or preservation based on interpretation [Beall/Restall]
     Full Idea: Two different views of logical consequence are necessary truth-preservation (based on modelling possible worlds; favoured by Realists), or truth-preservation based on the meanings of the logical vocabulary (differing in various models; for Anti-Realists).
     From: JC Beall / G Restall (Logical Consequence [2005], 2)
     A reaction: Thus Dummett prefers the second view, because the law of excluded middle is optional. My instincts are with the first one.
5. Theory of Logic / B. Logical Consequence / 8. Material Implication
A step is a 'material consequence' if we need contents as well as form [Beall/Restall]
     Full Idea: A logical step is a 'material consequence' and not a formal one, if we need the contents as well as the structure or form.
     From: JC Beall / G Restall (Logical Consequence [2005], 2)
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
A 'logical truth' (or 'tautology', or 'theorem') follows from empty premises [Beall/Restall]
     Full Idea: If a conclusion follows from an empty collection of premises, it is true by logic alone, and is a 'logical truth' (sometimes a 'tautology'), or, in the proof-centred approach, 'theorems'.
     From: JC Beall / G Restall (Logical Consequence [2005], 4)
     A reaction: These truths are written as following from the empty set Φ. They are just implications derived from the axioms and the rules.
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Models are mathematical structures which interpret the non-logical primitives [Beall/Restall]
     Full Idea: Models are abstract mathematical structures that provide possible interpretations for each of the non-logical primitives in a formal language.
     From: JC Beall / G Restall (Logical Consequence [2005], 3)
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Hilbert proofs have simple rules and complex axioms, and natural deduction is the opposite [Beall/Restall]
     Full Idea: There are many proof-systems, the main being Hilbert proofs (with simple rules and complex axioms), or natural deduction systems (with few axioms and many rules, and the rules constitute the meaning of the connectives).
     From: JC Beall / G Restall (Logical Consequence [2005], 3)
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
Poetry is transcendental when it connects the ideal to the real [Schlegel,F]
     Full Idea: There is a kind of poetry whose essence lies in the relation between the ideal and the real, and which therefore, by analogy with philosophical jargon, should be called transcendental poetry.
     From: Friedrich Schlegel (works [1798], Vol 2 p.204), quoted by Ernst Behler - Early German Romanticism p.78
     A reaction: I think the basic idea is that the imaginative creation of poetry has the power to bridge the gap between the transcendental (presupposed) ideal in Fichte, and nature (which Fichte seems to have excluded from his system).
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
For poets free choice is supreme [Schlegel,F]
     Full Idea: Romantic poetry recognises as its first commandment that the free choice [Wilkür] of the poet can tolerate no law above itself.
     From: Friedrich Schlegel (works [1798], Frag 116 p.32), quoted by Terry Pinkard - German Philosophy 1760-1860 06
     A reaction: This leads to Shelley's 'poets are the unacknowledged legislators of the race'. We should also take it as a response to Kant's categorical imperative, which leads to the Gauguin Problem (wickedness justified by the art it leads to).
22. Metaethics / B. Value / 2. Values / g. Love
True love is ironic, in the contrast between finite limitations and the infinity of love [Schlegel,F]
     Full Idea: True irony is the irony of love. It arises from the feeling of finitude and one's own limitation, and the apparent contradiction of these feelings with the concept of infinity inherent in all true love.
     From: Friedrich Schlegel (works [1798], Vol.10 p.357), quoted by Ernst Behler - Early German Romanticism
     A reaction: [c.1827] This is more about idealist philosophy and its yearning for the Absolute than it is about the actual nature of love. Love is the door to the Absolute. The irony is our inability to pass through it.
23. Ethics / F. Existentialism / 3. Angst
Irony is the response to conflicts of involvement and attachment [Schlegel,F, by Pinkard]
     Full Idea: Irony is thus the appropriate stance to feeling that is both inescapably committed and inescapably detached at the same time.
     From: report of Friedrich Schlegel (works [1798]) by Terry Pinkard - German Philosophy 1760-1860 06
     A reaction: This is the epitome of romanticism, which carries over into the dilemmas of existentialism. Striking the right balance between caring and not caring seems to me to be the main focus of modern British people.
24. Political Theory / A. Basis of a State / 1. A People / c. A unified people
The biology of societies: kin selection, parenting, mating; status, territory, contracts [Wilson,EO]
     Full Idea: Societies are ordered around six sociobiological principles: kin selection; parental investment; mating strategy; status; territorial expansion and defence; contractual agreement.
     From: Edmund O. Wilson (Consilience [1998], 19 'Intro'), quoted by Peter Watson - Convergence
     A reaction: I'm not sure I trust such a precise list. Personally I'm in society because I'm too frightend to drop out. So where is 'defence'? Still, I like attempts at assembling such a list. Politics needs grounding.