16 ideas
22070 | 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. |
22069 | 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. |
11022 | Gentzen introduced a natural deduction calculus (NK) in 1934 [Gentzen, by Read] |
Full Idea: Gentzen introduced a natural deduction calculus (NK) in 1934. | |
From: report of Gerhard Gentzen (works [1938]) by Stephen Read - Thinking About Logic Ch.8 |
11065 | The inferential role of a logical constant constitutes its meaning [Gentzen, by Hanna] |
Full Idea: Gentzen argued that the inferential role of a logical constant constitutes its meaning. | |
From: report of Gerhard Gentzen (works [1938]) by Robert Hanna - Rationality and Logic 5.3 | |
A reaction: Possibly inspired by Wittgenstein's theory of meaning as use? This idea was the target of Prior's famous connective 'tonk', which has the role of implying anything you like, proving sentences which are not logical consequences. |
11023 | The logical connectives are 'defined' by their introduction rules [Gentzen] |
Full Idea: The introduction rules represent, as it were, the 'definitions' of the symbols concerned, and the elimination rules are no more, in the final analysis, than the consequences of these definitions. | |
From: Gerhard Gentzen (works [1938]), quoted by Stephen Read - Thinking About Logic Ch.8 | |
A reaction: If an introduction-rule (or a truth table) were taken as fixed and beyond dispute, then it would have the status of a definition, since there would be nothing else to appeal to. So is there anything else to appeal to here? |
11213 | Each logical symbol has an 'introduction' rule to define it, and hence an 'elimination' rule [Gentzen] |
Full Idea: To every logical symbol there belongs precisely one inference figure which 'introduces' the symbol ..and one which 'eliminates' it. The introductions represent the 'definitions' of the symbols concerned, and eliminations are consequences of these. | |
From: Gerhard Gentzen (works [1938], II.5.13), quoted by Ian Rumfitt - "Yes" and "No" III | |
A reaction: [1935 paper] This passage is famous, in laying down the basics of natural deduction systems of logic (ones using only rules, and avoiding axioms). Rumfitt questions whether Gentzen's account gives the sense of the connectives. |
13832 | Natural deduction shows the heart of reasoning (and sequent calculus is just a tool) [Gentzen, by Hacking] |
Full Idea: Gentzen thought that his natural deduction gets at the heart of logical reasoning, and used the sequent calculus only as a convenient tool for proving his chief results. | |
From: report of Gerhard Gentzen (Investigations into Logical Deduction [1935]) by Ian Hacking - What is Logic? §05 |
10067 | Gentzen proved the consistency of arithmetic from assumptions beyond arithmetic [Gentzen, by Musgrave] |
Full Idea: Gentzen proved the consistency of arithmetic from assumptions which transcend arithmetic. | |
From: report of Gerhard Gentzen (works [1938]) by Alan Musgrave - Logicism Revisited §5 | |
A reaction: This does not contradict Gödel's famous result, but reinforces it. The interesting question is what assumptions Gentzen felt he had to make. |
16062 | A necessary relation between fact-levels seems to be a further irreducible fact [Lynch/Glasgow] |
Full Idea: It seems unavoidable that the facts about logically necessary relations between levels of facts are themselves logically distinct further facts, irreducible to the microphysical facts. | |
From: Lynch,MP/Glasgow,JM (The Impossibility of Superdupervenience [2003], C) | |
A reaction: I'm beginning to think that rejecting every theory of reality that is proposed by carefully exposing some infinite regress hidden in it is a rather lazy way to do philosophy. Almost as bad as rejecting anything if it can't be defined. |
16061 | If some facts 'logically supervene' on some others, they just redescribe them, adding nothing [Lynch/Glasgow] |
Full Idea: Logical supervenience, restricted to individuals, seems to imply strong reduction. It is said that where the B-facts logically supervene on the A-facts, the B-facts simply re-describe what the A-facts describe, and the B-facts come along 'for free'. | |
From: Lynch,MP/Glasgow,JM (The Impossibility of Superdupervenience [2003], C) | |
A reaction: This seems to be taking 'logically' to mean 'analytically'. Presumably an entailment is logically supervenient on its premisses, and may therefore be very revealing, even if some people think such things are analytic. |
16060 | Nonreductive materialism says upper 'levels' depend on lower, but don't 'reduce' [Lynch/Glasgow] |
Full Idea: The root intuition behind nonreductive materialism is that reality is composed of ontologically distinct layers or levels. The upper levels depend on the physical without reducing to it. | |
From: Lynch,MP/Glasgow,JM (The Impossibility of Superdupervenience [2003], B) | |
A reaction: A nice clear statement of a view which I take to be false. This relationship is the sort of thing that drives people fishing for an account of it to use the word 'supervenience', which just says two things seem to hang out together. Fluffy materialism. |
16064 | The hallmark of physicalism is that each causal power has a base causal power under it [Lynch/Glasgow] |
Full Idea: Jessica Wilson (1999) says what makes physicalist accounts different from emergentism etc. is that each individual causal power associated with a supervenient property is numerically identical with a causal power associated with its base property. | |
From: Lynch,MP/Glasgow,JM (The Impossibility of Superdupervenience [2003], n 11) | |
A reaction: Hence the key thought in so-called (serious, rather than self-evident) 'emergentism' is so-called 'downward causation', which I take to be an idle daydream. |
22068 | 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). |
22030 | 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). |
22071 | 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. |
22029 | 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. |