56 ideas
19579 | The history of philosophy is just experiments in how to do philosophy [Novalis] |
Full Idea: The history of philosophy up to now is nothing but a history of attempts to discover how to do philosophy. | |
From: Novalis (Logological Fragments I [1798], 01) | |
A reaction: I take post-Fregean analytic metaphysics to be another experiment in how to do philosophy. I suspect that the experiment of Husserl, Heidegger, Derrida etc has been a failure. |
19583 | Philosophy only begins when it studies itself [Novalis] |
Full Idea: All philosophy begins where philosophizing philosophises itself. | |
From: Novalis (Logological Fragments I [1798], 79) | |
A reaction: The modern trend for doing metaphilosophy strikes me as wholly admirable, though I suspect that the enemies of philosophy (who are legion) see it as a decadence. |
22026 | Philosophy is homesickness - the urge to be at home everywhere [Novalis] |
Full Idea: Philosophy is actually homesickness - the urge to be everywhere at home. | |
From: Novalis (General Draft [1799], 45) | |
A reaction: The idea of home [heimat] is powerful in German culture. The point of romanticism was seen as largely concerning restless souls like Byron and his heroes, who do not feel at home. Hence ironic detachment. |
19588 | The highest aim of philosophy is to combine all philosophies into a unity [Novalis] |
Full Idea: He attains the maximum of a philosopher who combines all philosophies into a single philosophy | |
From: Novalis (Logological Fragments II [1798], 31) | |
A reaction: I have found the epigraph for my big book! Recently a few narrowly analytical philosophers have attempted big books about everything (Sider, Heil, Chalmers), and they get a huge round of applause from me. |
19598 | Philosophy relies on our whole system of learning, and can thus never be complete [Novalis] |
Full Idea: Now all learning is connected - thus philosophy will never be complete. Only in the complete system of all learning will philosophy be truly visible. | |
From: Novalis (Logological Fragments II [1798], 39) | |
A reaction: Philosophy is evidently the unifying subject, which reveals the point of all the other subjects. It matches my maxim that 'science is the servant of philosophy'. |
19586 | Philosophers feed on problems, hoping they are digestible, and spiced with paradox [Novalis] |
Full Idea: The philosopher lives on problems as the human being does on food. An insoluble problem is an indigestible food. What spice is to food, the paradoxical is to problems. | |
From: Novalis (Logological Fragments II [1798], 09) | |
A reaction: Novalis would presumably have disliked Hegel's dialectic, where the best food seems to be the indigestible. |
19587 | Philosophy aims to produce a priori an absolute and artistic world system [Novalis] |
Full Idea: Philosophy ...is the art of producing all our conceptions according to an absolute, artistic idea and of developing the thought of a world system a priori out of the depths of our spirit. | |
From: Novalis (Logological Fragments II [1798], 19) | |
A reaction: A lovely statement of the dream of building world systems by pure thought - embodying perfectly the view of philosophy despised by logical positivists and modern logical metaphysicians. The Novalis view will never die! I like 'artistic'. |
21960 | Ordinary language is the beginning of philosophy, but there is much more to it [Austin,JL] |
Full Idea: Ordinary language is not the last word: in principle it can everywhere be supplemented and improved upon and superseded. Only remember, it is the first word. | |
From: J.L. Austin (A Plea for Excuses [1956], p.185), quoted by A.W. Moore - The Evolution of Modern Metaphysics Intro | |
A reaction: To claim anything more would be absurd. The point is that this remark comes from the high priest of ordinary language philosophy. |
19574 | If man sacrifices truth he sacrifices himself, by acting against his own convictions [Novalis] |
Full Idea: Man has his being in truth - if he sacrifices truth he sacrifices himself. Whoever betrays truth betrays himself. It is not a question of lying - but of acting against one's conviction. | |
From: Novalis (Miscellaneous Observations [1798], 038) | |
A reaction: Does he condone lying here, as long as you don't believe the lie? We would call it loss of integrity. |
10835 | True sentences says the appropriate descriptive thing on the appropriate demonstrative occasion [Austin,JL] |
Full Idea: A sentence is said to be true when the historic state of affairs to which it is correlated by the demonstrative conventions (the one to which it 'refers') is of a type with which the sentence used in making it is correlated by the descriptive conventions. | |
From: J.L. Austin (Truth [1950], §3) | |
A reaction: This is correspondence by convention rather than correspondence by mapping. Personally I prefer some sort of mapping account, despite all the difficulty and vagueness of specifying what maps onto what. |
10836 | Correspondence theorists shouldn't think that a country has just one accurate map [Austin,JL] |
Full Idea: Correspondence theorists too often talk as one would who held that every map is either accurate or inaccurate; that every country can have but one accurate map. | |
From: J.L. Austin (Truth [1950], n 24) | |
A reaction: A well-made point, for those who intuitively hang on to correspondence as not only good common sense, but also some sort of salvation for a realist view of the world which might give us certainty in epistemology. |
19571 | Delusion and truth differ in their life functions [Novalis] |
Full Idea: The distinction between delusion and truth lies in the difference in their life functions. | |
From: Novalis (Miscellaneous Observations [1798], 008) | |
A reaction: Pure pragmatism, it seems. We might expect doubts about objective truth from a leading light of the Romantic movement. |
10859 | A set is 'well-ordered' if every subset has a first element [Clegg] |
Full Idea: For a set to be 'well-ordered' it is required that every subset of the set has a first element. | |
From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.13) |
10857 | Set theory made a closer study of infinity possible [Clegg] |
Full Idea: Set theory made a closer study of infinity possible. | |
From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.13) |
10864 | Any set can always generate a larger set - its powerset, of subsets [Clegg] |
Full Idea: The idea of the 'power set' means that it is always possible to generate a bigger one using only the elements of that set, namely the set of all its subsets. | |
From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.14) |
10872 | Extensionality: Two sets are equal if and only if they have the same elements [Clegg] |
Full Idea: Axiom of Extension: Two sets are equal if and only if they have the same elements. | |
From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.15) |
10875 | Pairing: For any two sets there exists a set to which they both belong [Clegg] |
Full Idea: Axiom of Pairing: For any two sets there exists a set to which they both belong. So you can make a set out of two other sets. | |
From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.15) |
10876 | Unions: There is a set of all the elements which belong to at least one set in a collection [Clegg] |
Full Idea: Axiom of Unions: For every collection of sets there exists a set that contains all the elements that belong to at least one of the sets in the collection. | |
From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.15) |
10878 | Infinity: There exists a set of the empty set and the successor of each element [Clegg] |
Full Idea: Axiom of Infinity: There exists a set containing the empty set and the successor of each of its elements. | |
From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.15) | |
A reaction: This is rather different from the other axioms because it contains the notion of 'successor', though that can be generated by an ordering procedure. |
10877 | Powers: All the subsets of a given set form their own new powerset [Clegg] |
Full Idea: Axiom of Powers: For each set there exists a collection of sets that contains amongst its elements all the subsets of the given set. | |
From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.15) | |
A reaction: Obviously this must include the whole of the base set (i.e. not just 'proper' subsets), otherwise the new set would just be a duplicate of the base set. |
10879 | Choice: For every set a mechanism will choose one member of any non-empty subset [Clegg] |
Full Idea: Axiom of Choice: For every set we can provide a mechanism for choosing one member of any non-empty subset of the set. | |
From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.15) | |
A reaction: This axiom is unusual because it makes the bold claim that such a 'mechanism' can always be found. Cohen showed that this axiom is separate. The tricky bit is choosing from an infinite subset. |
10871 | Axiom of Existence: there exists at least one set [Clegg] |
Full Idea: Axiom of Existence: there exists at least one set. This may be the empty set, but you need to start with something. | |
From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.15) |
10874 | Specification: a condition applied to a set will always produce a new set [Clegg] |
Full Idea: Axiom of Specification: For every set and every condition, there corresponds a set whose elements are exactly the same as those elements of the original set for which the condition is true. So the concept 'number is even' produces a set from the integers. | |
From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.15) | |
A reaction: What if the condition won't apply to the set? 'Number is even' presumably won't produce a set if it is applied to a set of non-numbers. |
19597 | Logic (the theory of relations) should be applied to mathematics [Novalis] |
Full Idea: Ought not logic, the theory of relations, be applied to mathematics? | |
From: Novalis (Logological Fragments II [1798], 38) | |
A reaction: Bolzano was 19 when his was written. I presume Novalis would have been excited by set theory (even though he was a hyper-romantic). |
19581 | A problem is a solid mass, which the mind must break up [Novalis] |
Full Idea: A problem is a solid, synthetic mass which is broken up by means of the penetrating power of the mind. | |
From: Novalis (Logological Fragments I [1798], 04) |
10880 | Mathematics can be 'pure' (unapplied), 'real' (physically grounded); or 'applied' (just applicable) [Clegg] |
Full Idea: Three views of mathematics: 'pure' mathematics, where it doesn't matter if it could ever have any application; 'real' mathematics, where every concept must be physically grounded; and 'applied' mathematics, using the non-real if the results are real. | |
From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.17) | |
A reaction: Very helpful. No one can deny the activities of 'pure' mathematics, but I think it is undeniable that the origins of the subject are 'real' (rather than platonic). We do economics by pretending there are concepts like the 'average family'. |
10861 | Beyond infinity cardinals and ordinals can come apart [Clegg] |
Full Idea: With ordinary finite numbers ordinals and cardinals are in effect the same, but beyond infinity it is possible for two sets to have the same cardinality but different ordinals. | |
From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.13) |
10860 | An ordinal number is defined by the set that comes before it [Clegg] |
Full Idea: You can think of an ordinal number as being defined by the set that comes before it, so, in the non-negative integers, ordinal 5 is defined as {0, 1, 2, 3, 4}. | |
From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.13) |
10854 | Transcendental numbers can't be fitted to finite equations [Clegg] |
Full Idea: The 'transcendental numbers' are those irrationals that can't be fitted to a suitable finite equation, of which π is far and away the best known. | |
From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch. 6) |
10858 | By adding an axis of imaginary numbers, we get the useful 'number plane' instead of number line [Clegg] |
Full Idea: The realisation that brought 'i' into the toolkit of physicists and engineers was that you could extend the 'number line' into a new dimension, with an imaginary number axis at right angles to it. ...We now have a 'number plane'. | |
From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.12) |
10853 | Either lack of zero made early mathematics geometrical, or the geometrical approach made zero meaningless [Clegg] |
Full Idea: It is a chicken-and-egg problem, whether the lack of zero forced forced classical mathematicians to rely mostly on a geometric approach to mathematics, or the geometric approach made 0 a meaningless concept, but the two remain strongly tied together. | |
From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch. 6) |
19584 | Whoever first counted to two must have seen the possibility of infinite counting [Novalis] |
Full Idea: Whoever first understood how to count to two, even if he still found it difficult to keep on counting, saw nonetheless the possibility of infinite counting according to the same laws. | |
From: Novalis (Logological Fragments I [1798], 84) | |
A reaction: Presumably it is the discerning of the 'law' which triggers this. Is the key concept 'addition' or 'successor' (or are those the same?). |
10866 | Cantor's account of infinities has the shaky foundation of irrational numbers [Clegg] |
Full Idea: As far as Kronecker was concerned, Cantor had built a whole structure on the irrational numbers, and so that structure had no foundation at all. | |
From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.15) |
10869 | The Continuum Hypothesis is independent of the axioms of set theory [Clegg] |
Full Idea: Paul Cohen showed that the Continuum Hypothesis is independent of the axioms of set theory. | |
From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.15) |
10862 | The 'continuum hypothesis' says aleph-one is the cardinality of the reals [Clegg] |
Full Idea: The 'continuum hypothesis' says that aleph-one is the cardinality of the rational and irrational numbers. | |
From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.14) |
22025 | Novalis thought self-consciousness cannot disclose 'being', because we are temporal creatures [Novalis, by Pinkard] |
Full Idea: Novalis came to think that the kind of existence , or 'being', that is disclosed in self-consciousness remains, as it were, forever out of our reach because of the kind of temporal creatures we are. | |
From: report of Novalis (Logological Fragments I [1798]) by Terry Pinkard - German Philosophy 1760-1860 06 | |
A reaction: It looks here as if Novalis kicked Heidegger's Dasein into the long grass before it even got started, but maybe they have different notions of 'being', with Novalis seeking timeless being, and Heidegger, influenced by Bergson, accepting temporality. |
21598 | Austin revealed many meanings for 'vague': rough, ambiguous, general, incomplete... [Austin,JL, by Williamson] |
Full Idea: Austin's account brought out the variety of features covered by 'vague' in different contexts: roughness, ambiguity, imprecision, lack of detail, generality, inaccuracy, incompleteness. Even 'vague' is vague. | |
From: report of J.L. Austin (Sense and Sensibilia [1962], p.125-8) by Timothy Williamson - Vagueness 3.1 | |
A reaction: Some of these sound the same. Maybe Austin distinguishes them. |
19575 | Refinement of senses increasingly distinguishes individuals [Novalis] |
Full Idea: The more our senses are refined, the more capable they become of distinguishing between individuals. The highest sense would be the highest receptivity to particularity in human nature. | |
From: Novalis (Miscellaneous Observations [1798], 072) | |
A reaction: I adore this idea!! It goes into the collection of support I am building for individual essences, against the absurd idea of kinds as essences (when they are actually categorisations). It also accompanies particularism in ethics. |
22067 | Poetry is true idealism, and the self-consciousness of the universe [Novalis] |
Full Idea: Poetry is true idealism - contemplation of the world as contemplation of a large mind - self-consciousness of the universe. | |
From: Novalis (Logological Fragments I [1798], vol 3 p.640), quoted by Ernst Behler - Early German Romanticism | |
A reaction: It looks like the step from Fichte's idealism to the Absolute is poetry, which embraces the ultimate Spinozan substance through imagination. Or something... |
19572 | Experiences tests reason, and reason tests experience [Novalis] |
Full Idea: Experience is the test of the rational - and vice versa. | |
From: Novalis (Miscellaneous Observations [1798], 010) | |
A reaction: A wonderful remark. Surely we can't ignore our need to test claims of pure logic by filling in the variables with concrete instances, to assess validity? And philosophy without examples is doomed to be abstract waffle. Coherence is the combined aim. |
19590 | Empiricists are passive thinkers, given their philosophy by the external world and fate [Novalis] |
Full Idea: An empiricist is one whose way of thinking is an effect of the external world and of fate - the passive thinker - to whom his philosophy is given. | |
From: Novalis (Teplitz Fragments [1798], 33) | |
A reaction: Novalis goes on to enthuse about 'magical idealism', so he rejects empiricism. This is an early attack on the Myth of the Given, found in Sellars and McDowell. |
19594 | General statements about nature are not valid [Novalis] |
Full Idea: General statements are not valid in the study of nature. | |
From: Novalis (Last Fragments [1800], 17) | |
A reaction: This is his striking obsession with the particularity and fine detail of nature. Alexander von Humbolt was exploring nature in S.America in this year. It sounds wrong about physics, but possibly right about biology. |
19591 | Desire for perfection is an illness, if it turns against what is imperfect [Novalis] |
Full Idea: An absolute drive toward perfection and completeness is an illness, as soon as it shows itself to be destructive and averse toward the imperfect, the incomplete. | |
From: Novalis (General Draft [1799], 33) | |
A reaction: Deep and true! Novalis seems to be a particularist - hanging on to the fine detail of life, rather than being immersed in the theory. These are the philosophers who also turn to literature. |
19596 | The whole body is involved in the formation of thoughts [Novalis] |
Full Idea: In the formation of thoughts all parts of the body seem to me to be working together. | |
From: Novalis (Last Fragments [1800], 20) | |
A reaction: I can only think that Spinoza must be behind this thought, or La Mettrie. It seems a strikingly unusual intuition for its time, when almost everyone takes a spiritual sort of dualism for granted. |
19573 | The seat of the soul is where our inner and outer worlds interpenetrate [Novalis] |
Full Idea: The seat of the soul is the point where the inner and the outer worlds touch. Wherever they penetrate each other - it is there at every point of penetration. | |
From: Novalis (Miscellaneous Observations [1798], 020) | |
A reaction: I surmise that Spinoza's dual-aspect monism is behind this interesting remark. See the related idea from Schopenhauer. |
19577 | Everything is a chaotic unity, then we abstract, then we reunify the world into a free alliance [Novalis] |
Full Idea: Before abstraction everything is one - but one as chaos is - after abstraction everything is again unified - but in a free alliance of independent, self-determined beings. A crowd has become a society - a chaos is transformed into a manifold world. | |
From: Novalis (Miscellaneous Observations [1798], 094) | |
A reaction: Personally I take (unfashionably) psychological abstraction to one of the key foundations of human thought, so I love this idea, which gives a huge picture of how the abstracting mind relates to reality. |
19585 | Every person has his own language [Novalis] |
Full Idea: Every person has his own language. Language is the expression of the spirit. | |
From: Novalis (Logological Fragments I [1798], 91) | |
A reaction: Nice to see someone enthusiastically affirming what was later famously denied, and maybe even disproved. |
19578 | Only self-illuminated perfect individuals are beautiful [Novalis] |
Full Idea: Everything beautiful is a self-illuminated, perfect individual. | |
From: Novalis (Miscellaneous Observations [1798], 101) | |
A reaction: It is a commonplace to describe something beautiful as being 'perfect'. Unfinished masterpieces are interesting exceptions. Are only 'individuals' beautiful? Is unity a necessary condition of beauty? Bad art fails to be self-illuminated. |
19582 | Morality and philosophy are mutually dependent [Novalis] |
Full Idea: Without philosophy there is no true morality, and without morality no philosophy. | |
From: Novalis (Logological Fragments I [1798], 21) | |
A reaction: Challenging! Maybe unthinking people drift in a sea of vague untethered morality, and people who seem to have a genuine moral strength are always rooted in some sort of philosophy. Maybe. Is the passion for philosophy a moral passion? |
22027 | Life isn't given to us like a novel - we write the novel [Novalis] |
Full Idea: Life must not be a novel that is given to us, but one that is made by us. | |
From: Novalis (Logological Fragments I [1798], 99) | |
A reaction: The roots of existentialism are in the Romantic movement. Sartre seems to have taken this idea literally. |
19589 | The whole point of a monarch is that we accept them as a higher-born, ideal person [Novalis] |
Full Idea: The distinguishing character of the monarchy lies precisely in the fact of belief in a higher-born person, of voluntary acceptance of an ideal person. I cannot choose a leader from among my peers. | |
From: Novalis (Fath and Love, or the King and Queen [1798], 18) | |
A reaction: Novalis was passionately devoted to the new king and queen of Prussia, only a few years after the French Revolution. This attitude seems to me unchanged among monarchists in present day Britain. Genetics has undermined 'higher-born'. |
19580 | If the pupil really yearns for the truth, they only need a hint [Novalis] |
Full Idea: If a pupil genuinely desires truth is requires only a hint to show him how to find what he is seeking. | |
From: Novalis (Logological Fragments I [1798], 02) | |
A reaction: The tricky job for the teacher or supervisor is assessing whether the pupil genuinely desires truth, or needs motivating. |
19593 | Persons are shaped by a life history; splendid persons are shaped by world history [Novalis] |
Full Idea: What is it that shapes a person if not his life history? And in the same way a splendid person is shaped by nothing other than world history. Many people live better in the past and in the future than in the present. | |
From: Novalis (Last Fragments [1800], 15) | |
A reaction: Clearly there is a lot to be said for splendid people who live entirely in the present (such as jazz musicians). Some people do have an awesomely wide historical perspective on their immediate lives. Palaeontology is not the master discipline though! |
19595 | Nature is a whole, and its individual parts cannot be wholly understood [Novalis] |
Full Idea: Nature is a whole - in which each part in itself can never be wholly understood. | |
From: Novalis (Last Fragments [1800], 18) | |
A reaction: This doesn't seem right when studying some item in a laboratory, but it seems undeniable when you consider the history and future of each item. |
19592 | The basic relations of nature are musical [Novalis] |
Full Idea: Musical relations seem to me to be actually the basic relations of nature. | |
From: Novalis (Last Fragments [1800], 10) | |
A reaction: Novalis shows no signs of being a pythagorean, and then suddenly comes out with this. I suppose if you love music, this thought should float into your mind at regular intervals, because the power of music is so strong. Does he mean ratios? |
19576 | Religion needs an intermediary, because none of us can connect directly to a godhead [Novalis] |
Full Idea: Nothing is more indispensable for true religious feeling than an intermediary - which connects us to the godhead. The human being is absolutely incapable of sustaining an immediate relation with this. | |
From: Novalis (Miscellaneous Observations [1798], 073) | |
A reaction: I take this to be a defence of priests and organised religion, and an implied attack on protestants who give centrality to private prayer and conscience. |