49 ideas
| 9808 | Philosophy aims to reveal the grandeur of mathematics [Badiou] |
| Full Idea: Philosophy's role consists in informing mathematics of its own speculative grandeur. | |
| From: Alain Badiou (Mathematics and Philosophy: grand and little [2004], p.11) | |
| A reaction: Revealing the grandeur of something sounds more like a rhetorical than a rational exercise. How would you reveal the grandeur of a sunset to someone? |
| 23247 | The need to act produces consciousness, and practical reason is the root of all reason [Fichte] |
| Full Idea: Consciousness of the real world proceeds from the need to act, not the other way around. …Practical reason is the root of all reason. | |
| From: Johann Fichte (The Vocation of Man [1800], 3.I) | |
| A reaction: Strongly agree with the last part. In my conceptual scheme 'sensible' behaviour (e.g. of animals) precedes, in every way, rational behaviour. Sensible attitudes to quantity and magnitude precede mathematical logic. Minds exist for navigation. |
| 23232 | Sufficient reason makes the transition from the particular to the general [Fichte] |
| Full Idea: The principle of sufficient reason is the point of transition from the particular, which is itself, to the general, which is outside it. | |
| From: Johann Fichte (The Vocation of Man [1800], 1) | |
| A reaction: Not sure I understand this, but it seems worth passing on. Personally I would say that we have a knack of generalising, triggered when we spot patterns. |
| 16539 | A definition of a circle will show what it is, and show its generating principle [Lowe] |
| Full Idea: If the definition of a circle is based on 'locus of a point', this tells us what a circle is, and it does so by revealing its generating principle, what it takes for a circle to come into being. | |
| From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 6) | |
| A reaction: Lowe says that real definitions, as essences, do not always have to spell out a 'generating principle', but they do in this case. Another approach would be to try to map dependence relations between truths about circles, and see what is basic. |
| 16540 | Defining an ellipse by conic sections reveals necessities, but not the essence of an ellipse [Lowe] |
| Full Idea: Defining an ellipse in terms of the oblique intersection of a cone and a plane (rather than in terms of the sum of the distance between the foci) gives us a necessary property, but not the essence, because the terms are extrinsic to its nature. | |
| From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 6) | |
| A reaction: [compressed wording] Helpful and illuminating. If you say some figure is what results when one thing intersects another, that doesn't tell you what the result actually is. Geometrical essences may be a bit vague, but they are quite meaningful. |
| 16548 | An essence is what an entity is, revealed by a real definition; this is not an entity in its own right [Lowe] |
| Full Idea: An entity's essence is just what that entity is, revealed by its real definition. This isn't a distinct entity, but either the entity itself, or (my view) no entity at all. ..We should not reify essence, as that leads to an infinite regress of essences. | |
| From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 6) | |
| A reaction: The regress problem is a real one, if we wish to treat an essence as some proper and distinct part of an entity. If it is a mechanism, for example, the presumably a mechanism has an essence. No, it doesn't! Levels of explanation! |
| 16549 | Simple things like 'red' can be given real ostensive definitions [Lowe] |
| Full Idea: Is it true that we cannot say, non-circularly, what red is? We cannot find a complex synonym for it, but I think we can provide red with an ostensive real definition. | |
| From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 6) | |
| A reaction: I'm not quite sure how 'real' this definition would be, if it depends on observers (some of whom may be colourblind). In what sense is this act of ostensions a 'definition'? You must distinguish the colour from the texture or shape. |
| 9812 | In mathematics, if a problem can be formulated, it will eventually be solved [Badiou] |
| Full Idea: Only in mathematics can one unequivocally maintain that if thought can formulate a problem, it can and will solve it, regardless of how long it takes. | |
| From: Alain Badiou (Mathematics and Philosophy: grand and little [2004], p.17) | |
| A reaction: I hope this includes proving the Continuum Hypothesis, and Goldbach's Conjecture. It doesn't seem quite true, but it shows why philosophers of a rationalist persuasion are drawn to mathematics. |
| 9813 | Mathematics shows that thinking is not confined to the finite [Badiou] |
| Full Idea: Mathematics teaches us that there is no reason whatsoever to confne thinking within the ambit of finitude. | |
| From: Alain Badiou (Mathematics and Philosophy: grand and little [2004], p.19) | |
| A reaction: This would perhaps make Cantor the greatest thinker who ever lived. It is an exhilarating idea, but we should ward the reader against romping of into unrestrained philosophical thought about infinities. You may be jumping without your Cantorian parachute. |
| 9809 | Mathematics inscribes being as such [Badiou] |
| Full Idea: Mathematics inscribes being as such. | |
| From: Alain Badiou (Mathematics and Philosophy: grand and little [2004], p.12) | |
| A reaction: I don't pretend to understand that, but there is something about the purity and certainty of mathematics that makes us feel we are grappling with the core of existence. Perhaps. The same might be said of stubbing your toe on a bedpost. |
| 9811 | It is of the essence of being to appear [Badiou] |
| Full Idea: It is of the essence of being to appear. | |
| From: Alain Badiou (Mathematics and Philosophy: grand and little [2004], p.16) | |
| A reaction: Nice slogan. In my humble opinion 'continental' philosophy is well worth reading because, despite the fluffy rhetoric and the shameless egotism and the desire to shock the bourgeoisie, they occasionally make wonderfully thought-provoking remarks. |
| 23227 | Each object has a precise number of properties, each to a precise degree [Fichte] |
| Full Idea: Each object has a definite number of properties, no more, no less. …Each of these objects possesses each of these properties to a definite degree. | |
| From: Johann Fichte (The Vocation of Man [1800], 1) | |
| A reaction: Quine flatly disagrees with this. Fichte offers no grounds for his claim. On the whole I think of properties as psychologically abstracted by us from holistic objects, so there is plenty of room for error. The underlying powers are real. |
| 23228 | The principle of activity and generation is found in a self-moving basic force [Fichte] |
| Full Idea: The principle of activity, of generation and becoming in and for itself, is purely in that force itself and not in anything outside it…; the force is not driven or set in motion, it sets itself in motion. | |
| From: Johann Fichte (The Vocation of Man [1800], 1) | |
| A reaction: A good account of primitive powers, as self-motivating forces. I can't think what else could be fundamental to nature. This whole passage of Fichte expounds a powers ontology. |
| 16545 | The essence of lumps and statues shows that two objects coincide but are numerically distinct [Lowe] |
| Full Idea: It is a metaphysically necessary truth, obtaining in virtue of the essences of such objects (of what a bronze statue and a lump of bronze are) that when it exists a bronze statue coincides with a lump of bronze, which is numerically distinct from it. | |
| From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 6) | |
| A reaction: I think it is nonsense to treat the lump and statue as two objects. It is essential that a statue be made of a lump, and essential that a lump have a shape, so to treat the lump and the shape as two different objects is a failure to grasp the essence. |
| 16546 | The essence of a bronze statue shows that it could be made of different bronze [Lowe] |
| Full Idea: It is a metaphysical possibility, obtaining in virtue of the essences of such objects, that the same bronze statue should coincide with different lumps of bronze at different times. (..they have different persistence conditions). | |
| From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 6) | |
| A reaction: If the fame of a statue were that it had been made by melting down the shield of Achilles (say), then the bronze it was made of would be its most important feature. Essences are more contextual than Lowe might wish. |
| 16551 | Grasping an essence is just grasping a real definition [Lowe] |
| Full Idea: All that grasping an essence amounts to is understanding a real definition, that is, understanding a special kind of proposition. | |
| From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 7) | |
| A reaction: He refuses to 'reify' an essence, and says it is not an entity, so he seems to think that the definition is the essence, but Aristotle and I take the essence to be what is picked out by the correct definition - not the definition itself. |
| 16542 | Explanation can't give an account of essence, because it is too multi-faceted [Lowe] |
| Full Idea: Explanation is a multifaceted one, with many species (logical, mathematical, causal, teleological, and psychological), ..so it is not a notion fit to be appealed to in order to frame a perspicuous account of essence. That is one species of explanation. | |
| From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 6) | |
| A reaction: This directly attacks the core of my thesis! His parenthetical list does not give types of explanation. If I say this explanation is 'psychological', that says nothing about what explanation is. All of his instances could rest on essences. |
| 16552 | If we must know some entity to know an essence, we lack a faculty to do that [Lowe] |
| Full Idea: If knowledge of essence were by acquaintance of a special kind of entity, we would doubt our ability to grasp the essence of things. For what faculty could be involved in this special kind of acquaintance? | |
| From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 7) | |
| A reaction: This is Lockean empirical scepticism about essences, but I take the view that sometimes you can be acquainted with an essence, but more often you correctly infer it from you acquaintance - and this is just what scientists do. |
| 16533 | Logical necessities, based on laws of logic, are a proper sub-class of metaphysical necessities [Lowe] |
| Full Idea: If logically necessary truths are consequences of the laws of logic, then I think they are only a proper sub-class of the class of metaphysically necessary truths. | |
| From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 1) | |
| A reaction: The problem for this is unusual and bizarre systems of logic, or systems that contradict one another. This idea is only plausible if you talk about the truths derived from some roughly 'classical' core of logic. 'Tonk' won't do it! |
| 16531 | 'Metaphysical' necessity is absolute and objective - the strongest kind of necessity [Lowe] |
| Full Idea: By 'metaphysical' necessity I mean necessity of the strongest possible kind - absolute necessity - and I take it to be an objective kind of necessity, rather than being something mind-dependent. | |
| From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 1) | |
| A reaction: See Bob Hale for the possibility that 'absolute' and 'metaphysical' necessity might come apart. I think I believe in metaphysical necessity, but I'm uneasy about 'absolute' necessity. That may be discredited by the sceptics. |
| 16532 | 'Epistemic' necessity is better called 'certainty' [Lowe] |
| Full Idea: 'Epistemic' necessity is more properly to be called 'certainty'. | |
| From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 1) | |
| A reaction: Sounds wrong. Surely I can be totally certain of a contingent truth? |
| 16543 | If an essence implies p, then p is an essential truth, and hence metaphysically necessary [Lowe] |
| Full Idea: If we can truly affirm that it is part of the essence of some entity that p is the case, then p is an essential truth and so a metaphysically necessary truth. | |
| From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 6) | |
| A reaction: This feels too quick. He is trying to expound the idea (which I like) that necessity derives from essences, and not vice versa. Is it a metaphysical necessity that there are no moths in my wardrobe, because mothballs have driven them away? Maybe. |
| 16544 | Metaphysical necessity is either an essential truth, or rests on essential truths [Lowe] |
| Full Idea: A metaphysically necessary truth is a truth which is either an essential truth or a truth that obtains in virtue of the essences of two or more distinct things. Hence all metaphysical necessity is grounded in essence. | |
| From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 6) | |
| A reaction: Lowe is endeavouring to give an exposition of the approach advocated by Kit Fine. I divide necessities 'because of' things (such as essences) from necessities 'for' things, such as situations or events. |
| 16538 | We could give up possible worlds if we based necessity on essences [Lowe] |
| Full Idea: If we explicate the notion of metaphysical necessity in terms of the notion of essence, rather than vice versa, this may enable us to dispense with the language of possible worlds as a means of explicating modal statements. | |
| From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 6) | |
| A reaction: This is the approach I favour, though I am not convinced that the two approaches are in competition, since essentialism gives the driving force for necessity, whereas possible worlds map the logic and semantics of it. |
| 23241 | I am myself, but not the external object; so I only sense myself, and not the object [Fichte] |
| Full Idea: I sense in myself, not in the object, for I am myself and not the object; therefore I sense only myself and my condition, and not the condition of the object. | |
| From: Johann Fichte (The Vocation of Man [1800], 2) | |
| A reaction: I'm not clear why anyone would have total confidence in internal experience and almost no confidence in experience of externals. In daily life I am equally confident about both. In philosophical mode I make equally cautious judgements about both. |
| 21966 | Self-consciousness is the basis of knowledge, and knowing something is knowing myself [Fichte] |
| Full Idea: The immediate consciousness of myself is the condition of all other consciousness; and I know a thing only in so far as I know that I know it; no element can enter into the latter cognition which is not contained in the former. | |
| From: Johann Fichte (The Vocation of Man [1800], p.37), quoted by A.W. Moore - The Evolution of Modern Metaphysics 06.2 | |
| A reaction: This strikes me as false, and a lot of intellectual contortion would be needed to believe it. Is knowing this pen is in front of me a case of knowing that I have knowledge of this pen, or is it just knowledge of this pen? [cf Kant 1781:A129] |
| 21967 | There is nothing to say about anything which is outside my consciousness [Fichte] |
| Full Idea: Of any connection beyond the limits of my consciousness I cannot speak. ...I cannot proceed a hair's breadth beyond this consciousness, any more than I can spring out of myself. | |
| From: Johann Fichte (The Vocation of Man [1800], p.74), quoted by A.W. Moore - The Evolution of Modern Metaphysics 06.3 | |
| A reaction: I can't see that this is any different from the idealism of Berkeley, although they get there from different starting points. Idealist seem unable to even begin explaining consciousness. |
| 21969 | Awareness of reality comes from the free activity of consciousness [Fichte] |
| Full Idea: It is the necessary faith in our freedom of power, in our own real activity, and in the definite laws of human action, which lies at the root of all our consciousness of a reality external to ourselves. | |
| From: Johann Fichte (The Vocation of Man [1800], p.98), quoted by A.W. Moore - The Evolution of Modern Metaphysics 06.4 | |
| A reaction: I'd love to know what the 'laws of human action' are. Is it what Hume was trying to do? Moore says there is an 'element of self-creation' in Fichte's account of the source of reality. This is Descartes' dream argument biting back. |
| 23231 | I immediately know myself, and anything beyond that is an inference [Fichte] |
| Full Idea: Immediately I know only of myself. What I am able to know beyond that I am only able to know through inference. | |
| From: Johann Fichte (The Vocation of Man [1800], 1) | |
| A reaction: A direct descendant of the Cartesian Cogito, I assume. Personally, if I bang my head on a beam I take the beam to be a full paid-up member of reality. Is it not possible that he also knows himself through inference? Do animals infer reality? |
| 16534 | 'Intuitions' are just unreliable 'hunches'; over centuries intuitions change enormously [Lowe] |
| Full Idea: I suspect that 'intuitions' and 'hunches' are pretty much the same thing, and pretty useless as sources of knowledge. …Things that seemed intuitively true to our forebears a century or two ago often by no means seem intuitively true to us now. | |
| From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 2) | |
| A reaction: I don't accept this. Intuitions change a lot over the centuries because the reliable knowledge which informs intuitions has also changed a lot. Arguments and evidence may nail individual truths, but coherence must rest on intuition. |
| 23246 | Faith is not knowledge; it is a decision of the will [Fichte] |
| Full Idea: Faith is no knowledge, but a decision of the will to recognise the validity of knowledge. | |
| From: Johann Fichte (The Vocation of Man [1800], 3.I) | |
| A reaction: What matters is the grounds for the decision. Mad conspiracy theories are decisions of the will which are false. Legitimate faith is an intuition of coherence which cannot be fully articulated. |
| 23245 | Knowledge can't be its own foundation; there has to be regress of higher and higher authorities [Fichte] |
| Full Idea: No knowledge can be its own foundation and proof. Every knowledge presupposes something still higher as its foundation, and this ascent has no end. | |
| From: Johann Fichte (The Vocation of Man [1800], 3.I) | |
| A reaction: A metaphor that's hard to visualise! He must have in mind a priori as well as empirical knowledge. The 'higher' levels don't seem to be God, but some region of absolute rationality, to which free minds have access. I think. |
| 23242 | Consciousness has two parts, passively receiving sensation, and actively causing productions [Fichte] |
| Full Idea: My immediate consciousness is composed of two constituent parts, the consciousness of my passivity, the sensation; and the consciousness of my activity, in the production of an object according to the principle of causality. | |
| From: Johann Fichte (The Vocation of Man [1800], 2) | |
| A reaction: Kind of obvious, but unusual to make this sharp binary division. Modern neuroscience strongly militates against any and every simple binary division of brain activities. |
| 23240 | We can't know by sight or hearing without realising that we are doing so [Fichte] |
| Full Idea: Q. Could you not perhaps know an object through sight or hearing without knowing that you are seeing or hearing? A. Not at all. | |
| From: Johann Fichte (The Vocation of Man [1800], 2) | |
| A reaction: A nice statement of the traditional view which seemed to be demolished by the discovery of blindsight. In the light of modern brain research, the views of the mind found in past philosophers mostly seem very naïve. |
| 23243 | Consciousness of external things is always accompanied by an unnoticed consciousness of self [Fichte] |
| Full Idea: Q. So that constantly and under all circumstances my consciousness of things outside of me is accompanied by an unnoticed consciousness of myself? A. Quite so. | |
| From: Johann Fichte (The Vocation of Man [1800], 2) | |
| A reaction: He should be more cautious about asserting the existence of something 'unnoticed'. The Earth's core is unnoticed by me, but there is plenty of evidence for it. Not so sure about unnoticed self. Still, I think central control of the mind is indispensable. |
| 23244 | Forming purposes is absolutely free, and produces something from nothing [Fichte] |
| Full Idea: My thinking and originating of a purpose is in its nature absolutely free and brings forth something from nothing. | |
| From: Johann Fichte (The Vocation of Man [1800], 3.I) | |
| A reaction: Modern fans of free will are more equivocal in their assertions, and would be uncomfortable bluntly claiming to 'get something from nothing'. But that's what free will is! Embrace it, or run for your life. |
| 23237 | The capacity for freedom is above the laws of nature, with its own power of purpose and will [Fichte] |
| Full Idea: This capacity [for freedom], once it exists, is in the servitude of a power which is higher than nature and quite free of its laws, the power of purposes, and the will. | |
| From: Johann Fichte (The Vocation of Man [1800], 1) | |
| A reaction: You would think this could only refer to God, but he in fact is referring to the power of human free will. The clearest statement I have found of the weird human exceptionalism implied by a strong commitment to free will. |
| 23235 | I want independent control of the fundamental cause of my decisions [Fichte] |
| Full Idea: I want to be independent - not to be in and through another but to be something for myself: and as such I want myself to be the fundamental cause of all my determinations. | |
| From: Johann Fichte (The Vocation of Man [1800], 1) | |
| A reaction: I think this sums up the absurdity of the concept of free will. The only reason he gives for his passionate belief in free will is that he desperately wants some imagined 'fundamental cause' for his action, and he wants full control of that chimera. |
| 23230 | Nature contains a fundamental force of thought [Fichte] |
| Full Idea: There is an original force of thought in nature just as there is an original formative force. | |
| From: Johann Fichte (The Vocation of Man [1800], 1) | |
| A reaction: I think this idea is false, but it helps to understand Fichte. |
| 16535 | A concept is a way of thinking of things or kinds, whether or not they exist [Lowe] |
| Full Idea: The nearest I can get to a quick definition is to say that a concept is a way of thinking of some thing or kind of things, whether or not a really existent thing or kind of things. | |
| From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 2) | |
| A reaction: The focus on 'things' seems rather narrow. Are relations things? He makes concepts sound adverbial, so that there is thinking going on, and then we add 'ways' of doing it. Thinking depends on concepts, not concepts on thinking. |
| 16550 | Direct reference doesn't seem to require that thinkers know what it is they are thinking about [Lowe] |
| Full Idea: It may be objected that currently prevailing causal or 'direct' theories of reference precisely deny that a thinker must know what it is the he or she is thinking about in order to be able to think about it. | |
| From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 7) | |
| A reaction: Lowe says that at least sometimes we have to know that we are thinking about, so this account of reference can't be universally true. My solution is to pull identity and essence apart. You only need identity, not essence, for reference. |
| 23233 | The will is awareness of one of our inner natural forces [Fichte] |
| Full Idea: To will is to be immediately conscious of the activity of one of our inner natural forces. | |
| From: Johann Fichte (The Vocation of Man [1800], 1) | |
| A reaction: A more Nietzschean view would be that to will is to be conscious of the victor among our inner natural drives. It can't just be awareness of one force, because the will feels conflicts. |
| 9814 | All great poetry is engaged in rivalry with mathematics [Badiou] |
| Full Idea: Like every great poet, Mallarmé was engaged in a tacit rivalry with mathematics. | |
| From: Alain Badiou (Mathematics and Philosophy: grand and little [2004], p.20) | |
| A reaction: I love these French pronouncements! Would Mallarmé have agreed? If poetry and mathematics are the poles, where is philosophy to be found? |
| 23234 | I cannot change the nature which has been determined for me [Fichte] |
| Full Idea: I cannot will the intention of making myself something other than what I am determined to be by nature, for I don't make myself at all but nature makes me and whatever I become. | |
| From: Johann Fichte (The Vocation of Man [1800], 1) | |
| A reaction: I take this to be a lot more accurate than Sartre's claim that we can re-make ourselves, but Fichte doesn't seem quite right. Don't I get any credit at all if I give up smoking, or train myself to treat someone more sympathetically? |
| 23239 | The self is, apart from outward behaviour, a drive in your nature [Fichte] |
| Full Idea: This 'you' for which you show such a lively interest is, so far as it is not overt behaviour, at least a drive in your own peculiar nature. | |
| From: Johann Fichte (The Vocation of Man [1800], 1) | |
| A reaction: I assume this use of 'drive' is the origin of Nietzsche's picture of such things, focused on the basic will to power. I like Fichte's emphasis on active forces as the basis of nature. |
| 23238 | If life lacks love it becomes destruction [Fichte] |
| Full Idea: Only in love is there life; without it there is death and annihilation. | |
| From: Johann Fichte (The Vocation of Man [1800], 1) | |
| A reaction: He gives not context of justification for this sudden claim. Watching from a melancholy distance the current 2022 Russian invasion of Ukraine, I take this idea to be a profound truth. If you let go of love, you float away down a dark stream. |
| 23236 | Freedom means making yourself become true to your essential nature [Fichte] |
| Full Idea: I want to be free means: I myself want to make myself be whatever I will be. I would therefore …already have to be, in a certain sense, what I am to become, so that I could make myself be it. | |
| From: Johann Fichte (The Vocation of Man [1800], 1) | |
| A reaction: This is much closer to the existenial picture of the malleable self, which Fichte arrives out once he commits to his desperate desire to have free will. [Not sure if my gist captures what he says]. |
| 23229 | Nature is wholly interconnected, and the tiniest change affects everything [Fichte] |
| Full Idea: Nature is an interconnected whole; …you could shift no grain of sand from its spot without thereby, perhaps invisibly to your eyes, changing something in all parts of the immeasurable whole. | |
| From: Johann Fichte (The Vocation of Man [1800], 1) | |
| A reaction: Sounds like idealist daydreaming, but might it actually be true with respect to gravity? |
| 16547 | H2O isn't necessary, because different laws of nature might affect how O and H combine [Lowe] |
| Full Idea: It is not metaphysically necessary that water is composed of H2O molecules, because the natural laws governing the chemical behaviour of hydrogen and oxygen atoms could have been significantly different, so they might not have composed that substance. | |
| From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 6) | |
| A reaction: I fear this may be incoherent, as science. See Bird on why salt must dissolve in water. There can't (I suspect) be a law which keeps O and H the same, and yet makes them combine differently. |