52 ideas
| 9978 | Analytic philosophy focuses too much on forms of expression, instead of what is actually said [Tait] |
| Full Idea: The tendency to attack forms of expression rather than attempting to appreciate what is actually being said is one of the more unfortunate habits that analytic philosophy inherited from Frege. | |
| From: William W. Tait (Frege versus Cantor and Dedekind [1996], IV) | |
| A reaction: The key to this, I say, is to acknowledge the existence of propositions (in brains). For example, this belief will make teachers more sympathetic to pupils who are struggling to express an idea, and verbal nit-picking becomes totally irrelevant. |
| 9986 | The null set was doubted, because numbering seemed to require 'units' [Tait] |
| Full Idea: The conception that what can be numbered is some object (including flocks of sheep) relative to a partition - a choice of unit - survived even in the late nineteenth century in the form of the rejection of the null set (and difficulties with unit sets). | |
| From: William W. Tait (Frege versus Cantor and Dedekind [1996], IX) | |
| A reaction: This old view can't be entirely wrong! Frege makes the point that if asked to count a pack of cards, you must decide whether to count cards, or suits, or pips. You may not need a 'unit', but you need a concept. 'Units' name concept-extensions nicely! |
| 9984 | We can have a series with identical members [Tait] |
| Full Idea: Why can't we have a series (as opposed to a linearly ordered set) all of whose members are identical, such as (a, a, a...,a)? | |
| From: William W. Tait (Frege versus Cantor and Dedekind [1996], VII) | |
| A reaction: The question is whether the items order themselves, which presumably the natural numbers are supposed to do, or whether we impose the order (and length) of the series. What decides how many a's there are? Do we order, or does nature? |
| 19482 | Current physics says matter and antimatter should have reduced to light at the big bang [New Sci.] |
| Full Idea: Our best theories of physics imply we shouldn't be here. The big bang ought to have produced equal amounts of matter and antimatter particles, which would have almost immediately annihilated each other, leaving nothing but light. | |
| From: New Scientist writers (New Scientist articles [2013], 2015.05.23) | |
| A reaction: This is not, of course, a rejection of physics, but a puzzle about the current standard model of physics. |
| 19483 | CP violation shows a decay imbalance in matter and antimatter, leading to matter's dominance [New Sci.] |
| Full Idea: The phenomenon of charge-parity (CP) violation says that under certain circumstances antiparticles decay at different rates from their matter counterpart. ...This might explain matter's dominance in the universe, but the effect is too small. | |
| From: New Scientist writers (New Scientist articles [2013], 2015.05.23) | |
| A reaction: Physicists are currently studying CP violations, hoping to explain why there is any matter in the universe. This will not, I presume, explain why matter and antimatter arrived in the first place. |
| 19737 | A system can infer the structure of the world by making predictions about it [New Sci.] |
| Full Idea: If we can train a system for prediction, it can essentially infer the structure of the world it's looking at by doing this prediction. | |
| From: New Scientist writers (New Scientist articles [2013], 2015.12.12) | |
| A reaction: [AI expert] This seems to be powerful support for the centrality of mathematical laws of nature in achieving understanding of the world. We may downplay the 'mere' ability to predict, but this idea says that the rewards of prediction are very great. |
| 19736 | Neural networks can extract the car-ness of a car, or the chair-ness of a chair [New Sci.] |
| Full Idea: Early neural nets were really good at recognising general categories, such as a car or a chair. Those networks are good at extracting the 'chair-ness' or the 'car-ness' of the object. | |
| From: New Scientist writers (New Scientist articles [2013], 2015.12.12) | |
| A reaction: [Interview with Yann LeCun, Facebook AI director] Fregean philosophers such as Geach think that extracting features is a ridiculous idea, but if even a machine can do it then I suspect that human beings can (and do) manage it too. |
| 16419 | No one has yet devised a rationality test [New Sci.] |
| Full Idea: The financial sector has been clamouring for a rationality test for years. | |
| From: New Scientist writers (New Scientist articles [2013], 2013.10.29) | |
| A reaction: Many aspects of intelligence tests do actually pick out what I would call rationality (which includes 'rational intuition', a new favourite of mine). But they are mixed in with rather mechanical geeky sort of tests. |
| 16417 | About a third of variation in human intelligence is environmental [New Sci.] |
| Full Idea: Possibly a third of the variation in our intelligence is down to the environment in which we grew up - nutrition and education, for example. | |
| From: New Scientist writers (New Scientist articles [2013], 2013.10.29) | |
| A reaction: This presumably leaves the other two-thirds to derive from genetics. I am a big believer in environment. Swapping babies between extremes of cultural environment would hugely affect intelligence, say I. |
| 16418 | People can be highly intelligent, yet very stupid [New Sci.] |
| Full Idea: You really can be highly intelligent, and at the same time very stupid. | |
| From: New Scientist writers (New Scientist articles [2013], 2013.10.29) | |
| A reaction: This is closely related to my observation (from a lifetime of study) that a talent for philosophy has a very limited correlation with standard notions of high intelligence. What matters is how conscious reasoning and intuition relate. Greek 'phronesis'. |
| 19484 | Psychologists measure personality along five dimensions [New Sci.] |
| Full Idea: Psychologists have long thought that measuring on a scale of just five personality dimensions - agreeableness, extroversion, neuroticism, conscientiousness and openness to new experiences - can capture all human variations in behaviour and attitude. | |
| From: New Scientist writers (New Scientist articles [2013], 2015.06.13) | |
| A reaction: Researchers are considering a sixth - called 'honesty-humility' - which is roughly how devious people are. The five mentioned here seem to be a well entrenched orthodoxy among professional psychologists. Is personality more superficial than character? |
| 9981 | Abstraction is 'logical' if the sense and truth of the abstraction depend on the concrete [Tait] |
| Full Idea: If the sense of a proposition about the abstract domain is given in terms of the corresponding proposition about the (relatively) concrete domain, ..and the truth of the former is founded upon the truth of the latter, then this is 'logical abstraction'. | |
| From: William W. Tait (Frege versus Cantor and Dedekind [1996], V) | |
| A reaction: The 'relatively' in parentheses allows us to apply his idea to levels of abstraction, and not just to the simple jump up from the concrete. I think Tait's proposal is excellent, rather than purloining 'abstraction' for an internal concept within logic. |
| 9982 | Cantor and Dedekind use abstraction to fix grammar and objects, not to carry out proofs [Tait] |
| Full Idea: Although (in Cantor and Dedekind) abstraction does not (as has often been observed) play any role in their proofs, but it does play a role, in that it fixes the grammar, the domain of meaningful propositions, and so determining the objects in the proofs. | |
| From: William W. Tait (Frege versus Cantor and Dedekind [1996], V) | |
| A reaction: [compressed] This is part of a defence of abstractionism in Cantor and Dedekind (see K.Fine also on the subject). To know the members of a set, or size of a domain, you need to know the process or function which created the set. |
| 9985 | Abstraction may concern the individuation of the set itself, not its elements [Tait] |
| Full Idea: A different reading of abstraction is that it concerns, not the individuating properties of the elements relative to one another, but rather the individuating properties of the set itself, for example the concept of what is its extension. | |
| From: William W. Tait (Frege versus Cantor and Dedekind [1996], VIII) | |
| A reaction: If the set was 'objects in the room next door', we would not be able to abstract from the objects, but we might get to the idea of things being contain in things, or the concept of an object, or a room. Wrong. That's because they are objects... Hm. |
| 9972 | Why should abstraction from two equipollent sets lead to the same set of 'pure units'? [Tait] |
| Full Idea: Why should abstraction from two equipollent sets lead to the same set of 'pure units'? | |
| From: William W. Tait (Frege versus Cantor and Dedekind [1996]) | |
| A reaction: [Tait is criticising Cantor] This expresses rather better than Frege or Dummett the central problem with the abstractionist view of how numbers are derived from matching groups of objects. |
| 9980 | If abstraction produces power sets, their identity should imply identity of the originals [Tait] |
| Full Idea: If the power |A| is obtained by abstraction from set A, then if A is equipollent to set B, then |A| = |B|. But this does not imply that A = B. So |A| cannot just be A, taken in abstraction, unless that can identify distinct sets, ..or create new objects. | |
| From: William W. Tait (Frege versus Cantor and Dedekind [1996], V) | |
| A reaction: An elegant piece of argument, which shows rather crucial facts about abstraction. We are then obliged to ask how abstraction can create an object or a set, if the central activity of abstraction is just ignoring certain features. |
| 23154 | We divide mankind into friend and foe, and cooperate with one and compete with the other [Russell] |
| Full Idea: Instinctively we divide mankind into friends and foes - friends, towards whom we have a morality of co-operation; foes, towards whom we have that of competition. | |
| From: Bertrand Russell (Authority and the Individual [1949], 1) | |
| A reaction: Interesting, because I have though of cooperation and competition as intrinsic features of people, internal to their nature, but this idea observes that it is more external, as two responses to two sharply distinct aspects of experience. |
| 23153 | Gradually loyalty to a creed increased, which could even outweigh nationality [Russell] |
| Full Idea: At a later stage in the development of civilization, a new kind of loyalty began to be developed, based on identity of creed. …Its military strength was displayed in Islam …and later loyalities of Catholics or Protestants could outweigh nationality. | |
| From: Bertrand Russell (Authority and the Individual [1949], 1) | |
| A reaction: [compressed] The only examples of creed loyalty that come to mind are religious. With increased migration in the modern world the phenomenon of divided loyalties has grown. Can a political theory cope with divided loyalties? |
| 23152 | Increasingly war expands communities, and unifies them through fear [Russell] |
| Full Idea: From early days down to modern times war has been the chief engine in enlarging the size of communities, and fear has increasingly replaced tribal solidarity as a source of social cohesion. | |
| From: Bertrand Russell (Authority and the Individual [1949], 1) | |
| A reaction: It is a feature of modern nationalism to try to generate fear of various outsiders, even in times of peace. Most of us despise such things, but the underlying desire for greater national unity is not unworthy. What enemies would a world state have? |
| 23155 | In early societies the leaders needed cohesion, but the rest just had to obey [Russell] |
| Full Idea: In historical societies such as ancient Egypt only a minority at the top of the social scale - the king, the aristocracy and the priests - needed any psychological mechanism towards social cohesion; all the rest merely obeyed. | |
| From: Bertrand Russell (Authority and the Individual [1949], 2) | |
| A reaction: This is why even now I take obedience to be a key right-wing virtue, though it is usually reinforced through national myths and distorted proganda. Quasi-worship of the leader also seems to be a major ingredient. Obedience unifies armies. |
| 23156 | The economic and political advantages of great size seem to have no upper limit [Russell] |
| Full Idea: Short of the whole planet there is no visible limit to the advantages of size, both in economic and in political organisation. | |
| From: Bertrand Russell (Authority and the Individual [1949], 2) | |
| A reaction: Obviously there are also disadvantages, such as the vast distances, and the alienation of people far from the centre. I take economies of scale to be one of the advantages of socialist nationalisations. |
| 23157 | Government has a negative purpose, to prevent trouble, and a positive aim of realising our desires [Russell] |
| Full Idea: Government has a negative function, to prevent private violence, to protect life and property, to enact criminal law and secure its enforcement. It also has a positive purpose, to facilitate the realisation of desires common to most of the citizens. | |
| From: Bertrand Russell (Authority and the Individual [1949], 2) | |
| A reaction: [compressed] Interesting because the second purpose is rarely cited. Governments improve communications, facilitate trade, and encourage health and education services, which we all want. |
| 23151 | A monarch is known to everyone in the group, and can thus unite large groups [Russell] |
| Full Idea: At a very early stage loyalty to a group must have been reinforced by loyalty to a leader. In a large tribe the king or chief may be known the everybody even when individuals are strangers. This makes possible increase in the size of the group. | |
| From: Bertrand Russell (Authority and the Individual [1949], 1) | |
| A reaction: In this way humanity could move from hunter-gatherer groups to tribes or clans. In the UK even people who couldn't name the current Prime Minister are all fully aware of the monarch. In this way a merely constitutional monarch makes sense, |
| 23167 | Power should be with smaller bodies, as long as it doesn't restrict central powers [Russell] |
| Full Idea: The general principle of delimiting powers should be to leave to smaller bodies all functions which do not prevent larger bodies from fulfilling their purpose. | |
| From: Bertrand Russell (Authority and the Individual [1949], 5) | |
| A reaction: In recent years in the UK smaller local bodies have been severely reduced in power by central government. This is nominally in favour of individuals, but in practice seems to have strengthened the centre. Russell was keen on devolving powers. |
| 23163 | In an anarchy universities, research, books, and even seaside holidays, would be impossible [Russell] |
| Full Idea: It is obvious that in a state of anarchy there could not be universities or scientific research or publication of books, or even such simple things as seaside holidays. | |
| From: Bertrand Russell (Authority and the Individual [1949], 5) | |
| A reaction: A seaside holiday seems possible, though it obviously needs means of publicity, and of transport. Why is a private university impossible? The general thought seems to be that anything very complex would be impossible. Maybe. |
| 23168 | A state is essential, to control greedy or predatory impulses [Russell] |
| Full Idea: The control of greedy or predatory impulses is imperatively necessary, and therefore States …are needed for survival. | |
| From: Bertrand Russell (Authority and the Individual [1949], 5) | |
| A reaction: The anarchist replies that the corruption of this benevolent state is precisely the problem they are trying to avoid. Perhaps the emphasis should be on the rule of law, rather than on people holding centralised power. |
| 23166 | In democracy we are more aware of being governed than of our tiny share in government [Russell] |
| Full Idea: In a democracy you have a 20 millionth share in the government of others, but only a 20 millionth share in the government of yourself. You are therefore much more conscious of being governed than of governing. | |
| From: Bertrand Russell (Authority and the Individual [1949], 5) | |
| A reaction: Nice. Add to that the fact that your share in governing others only occurs at election time. In between we are powerless spectators, but we are still governed. |
| 23160 | Being a slave of society is hardly better than being a slave of a despot [Russell] |
| Full Idea: A society in which each is the slave of all is only a little better than one in which each is the slave of a despot. | |
| From: Bertrand Russell (Authority and the Individual [1949], 4) | |
| A reaction: This seems to apply quite accurately to the position of those state employees who have the lowest status and wages. Society as a whole exploits them, so it is hard to point the finger at their oppressors. |
| 23162 | Managers are just as remote from workers under nationalisation as under capitalism [Russell] |
| Full Idea: Nationalisation leaves managers and officials almost as remote from the workers as they are under a capitalist regime. | |
| From: Bertrand Russell (Authority and the Individual [1949], 4) | |
| A reaction: Russell's solution is workplace democracy. Presumably that could be imposed on a nationalised industry much more easily than on a profit-driven private capitalist industry. |
| 23165 | Socialists say economic justice needs some state control of industries, and of foreign trade [Russell] |
| Full Idea: Economic justice is held by Socialists (rightly, in my opinion) to involve state ownership of key industries and considerable regulation of foreign trade. | |
| From: Bertrand Russell (Authority and the Individual [1949], 5) | |
| A reaction: This must be to obtain greater control over the profits of industry, and also to prevent trade become too exploitative of weaker foreign nations. Britain had a socialist government when this book was written. |
| 23158 | Slavery began the divorce between the work and the purposes of the worker [Russell] |
| Full Idea: The introduction of slavery began the divorce between the purpose of the work and the purposes of the worker. | |
| From: Bertrand Russell (Authority and the Individual [1949], 4) | |
| A reaction: Worth saying, because marxists tend to blame more recent capitalism for creating this problem (of 'alienation'). There are many degrees of slavery. |
| 23161 | Slaves can be just as equal as free people [Russell] |
| Full Idea: There is equality where all are slaves, as well as where all are free. | |
| From: Bertrand Russell (Authority and the Individual [1949], 4) | |
| A reaction: A nice observation, though a person is only a slave if someone controls them, so it is not strictly true. |
| 23159 | Scarce goods may be denied entirely, to avoid their unequal distribution [Russell] |
| Full Idea: There is a risk that, in the pursuit of equality, good things which there is difficulty in distributing evenly may not be admitted to be good. | |
| From: Bertrand Russell (Authority and the Individual [1949], 4) | |
| A reaction: Lovely sentence. The clarity and economy with which he expresses an intricate idea. Why can't you philosophers all write like that? This is not just the unequal distribution of scarce goods, but a subtler problem. The finest wines, for example. |
| 23164 | Modern justice is seen as equality, apart from modest extra rewards for exceptional desert [Russell] |
| Full Idea: Justice has come to be interpreted as equality, except where exceptional merit is thought to deserve an exceptional but still moderate reward. | |
| From: Bertrand Russell (Authority and the Individual [1949], 5) | |
| A reaction: Kekes rebels against this modern distortion of justice, which traditionally means everyone getting what they deserve - good or bad. The modern egalitarian view seems to be a rebellion against the harsh interpretation of the older view. |
| 19950 | Entropy is the only time-asymmetric law, so time may be linked to entropy [New Sci.] |
| Full Idea: All our physical laws are time-symmetric, ...so things can run forwards or backwards. But entropy is an exception, saying that disorder increases over time. Many physicists therefore suspect that the flow of time is linked to entropy. | |
| From: New Scientist writers (New Scientist articles [2013], 2017.02.04) |
| 19478 | Light moves at a constant space-time speed, but its direction is in neither space nor time [New Sci.] |
| Full Idea: A light ray always moves at one unit of space per unit of time - a constant diagonal on the graph. ...But the direction that light rays travel in is neither space nor time, and is called 'null'. It is on the edge between space and time. | |
| From: New Scientist writers (New Scientist articles [2013], 2013.06.15) | |
| A reaction: Don't understand this, but it sounds fun. |
| 19474 | Quantum states are measured by external time, of unknown origin [New Sci.] |
| Full Idea: When we measure the evolution of a quantum state, it is to the beat of an external timepiece of unknown provenance. | |
| From: New Scientist writers (New Scientist articles [2013], 2013.06.15) | |
| A reaction: It is best not to leap to philosophical conclusions when studying modern physics. Evidently time has a very different status in quantum mechanics and in relativity theory. |
| 19473 | The Schrödinger equation describes the evolution of an object's wave function in Hilbert space [New Sci.] |
| Full Idea: A quantum object's state is described by a wave function living in Hilbert space, encompassing all of its possible states. We see how the wave function evolves in time, moving from one state to another, using the Schrödinger equation. | |
| From: New Scientist writers (New Scientist articles [2013], 2013.06.15) | |
| A reaction: [These idea are basic explanations for non-scientific philosophers - please forgive anything that makes you wince] |
| 19953 | In string theory space-time has a grainy indivisible substructure [New Sci.] |
| Full Idea: String theory suggests that space-time has a grainy substructure - you can't keep chopping it indefinitely into smaller and smaller pieces. | |
| From: New Scientist writers (New Scientist articles [2013], 2015.11.07) | |
| A reaction: Presumably the proposal is that strings are the true 'atoms'. |
| 19476 | String theory needs at least 10 space-time dimensions [New Sci.] |
| Full Idea: String theory needs at least 10 space-time dimensions to be mathematically consistent. | |
| From: New Scientist writers (New Scientist articles [2013], 2013.06.15) | |
| A reaction: Apparently because of 'Ads/CFT', it may be possible to swap this situation for a more tractable 4-dimensional version. |
| 19954 | It is impossible for find a model of actuality among the innumerable models in string theory [New Sci.] |
| Full Idea: String theory has more than 10-to-the-500th solutions, each describing a different sort of universe, so it is nigh-on impossible to find the one solution that corresponds to our geometrically flat, expanding space-time full of particles. | |
| From: New Scientist writers (New Scientist articles [2013], 2015.11.07) |
| 19947 | Hilbert Space is an abstraction representing all possible states of a quantum system [New Sci.] |
| Full Idea: The elements of the abstract mathematical entity called Hilbert Space represent all the possible states of a quantum system | |
| From: New Scientist writers (New Scientist articles [2013], 1017.02.04) |
| 19948 | Einstein's merging of time with space has left us confused about the nature of time [New Sci.] |
| Full Idea: Our hunt for the most basic ingredients of reality has left us muddled about the status of time. One culprit for this was Einstein, whose theory of general relativity merged time with space. | |
| From: New Scientist writers (New Scientist articles [2013], 2017.02.04) |
| 19475 | Relativity makes time and space jointly basic; quantum theory splits them, and prioritises time [New Sci.] |
| Full Idea: Relativity says space and time are on the same footing - together they are the fabric of reality. Quantum mechanics, on the other hand, treats time and space differently, with time occasionally seeming more fundamental. | |
| From: New Scientist writers (New Scientist articles [2013], 2013.06.15) | |
| A reaction: Interesting. When talking about time, people glibly cite relativistic space-time to tell you that time is just another dimension. Now I can reply 'Aaah, but what about time in quantum mechanics? Eh? Eh?'. Excellent. |
| 19955 | Space-time may be a geometrical manifestation of quantum entanglement [New Sci.] |
| Full Idea: A promising theory (based on the 'Maldacena duality' - that string equations for gravity are the same as quantum equations for surface area) is that space-time is really just geometrical manifestations of quantum entanglement. | |
| From: New Scientist writers (New Scientist articles [2013], 2015.11.07) | |
| A reaction: This is a speculation which might unite the incompatible quantum and general relativity theories. |
| 19949 | Quantum theory relies on a clock outside the system - but where is it located? [New Sci.] |
| Full Idea: After general relativity, quantum mechanics reinstated our familiar notion of time. The buzzing of the quantum world plays out according to the authoritative tick of a clock outside the described system, ...but where is this clock doing its ticking? | |
| From: New Scientist writers (New Scientist articles [2013], 2017.02.04) |
| 19951 | Entropy is puzzling, so we may need to build new laws which include time directionality [New Sci.] |
| Full Idea: Smolin observes that if entropy increases, the early universe must have been highly ordered, which we cannot explain. Maybe we need to build time directionality into the laws, instead of making time depend on entropy. | |
| From: New Scientist writers (New Scientist articles [2013], 2017.02.04) | |
| A reaction: [compressed] |
| 19477 | General relativity predicts black holes, as former massive stars, and as galaxy centres [New Sci.] |
| Full Idea: Black holes are predicted by general relativity, and are thought to exist where massive stars once lived, as well as at the heart of every galaxy. | |
| From: New Scientist writers (New Scientist articles [2013], 2013.06.15) | |
| A reaction: Since black holes now seem to be a certainty, that is one hell of an impressive prediction. |
| 19952 | Black holes have entropy, but general relativity says they are unstructured, and lack entropy [New Sci.] |
| Full Idea: Black holes have a temperature, and hence entropy. ...But if a black hole are just an extreme scrunching of smooth space-time, it should have no substructure, and thus no entropy. This is probably the most obvious incompleteness of general relativity. | |
| From: New Scientist writers (New Scientist articles [2013], 2015.11.07) |
| 16420 | 84.5 percent of the universe is made of dark matter [New Sci.] |
| Full Idea: Dark matter makes up 84.5 percent of the universe's matter. | |
| From: New Scientist writers (New Scientist articles [2013], 2013.10.29) |
| 17604 | We are halfway to synthesising any molecule we want [New Sci.] |
| Full Idea: Ei-ichi Negishi (Nobel chemist of 2010) says 'the ultimate goal is to be able to synthesise any molecule we want. We are probably about halfway there'. | |
| From: New Scientist writers (New Scientist articles [2013], 2010.10.16) |
| 17603 | Chemistry just needs the periodic table, and protons, electrons and neutrinos [New Sci.] |
| Full Idea: Ei-ichi Negishi (Nobel chemist of 2010) says 'I work with the periodic table in front of me at all times, and approach all challenges in terms of three particles, positively charged protons, negatively charged electrons, and neutral neutrinos'. | |
| From: New Scientist writers (New Scientist articles [2013], 2010.10.16) |