37 ideas
| 6814 | Instead of prayer and charity, sinners pursue vain disputes and want their own personal scripture [Mohammed] |
| Full Idea: The sinners will say 'we never prayed or fed the hungry. We engaged in vain disputes and denied the Day of Reckoning'. Indeed, each one of them demands a scripture of his own to be unrolled before him. | |
| From: Mohammed (The Koran [c.622], Ch.74) | |
| A reaction: The implication seems to be that most disputes are 'vain'. The charge that everyone wants a 'scripture of his own' is a nice challenge to the world of liberal education, where we are all enjoined to pursue our personalised routes to our own truth. |
| 6299 | Axioms are often affirmed simply because they produce results which have been accepted [Resnik] |
| Full Idea: Many axioms have been proposed, not on the grounds that they can be directly known, but rather because they produce a desired body of previously recognised results. | |
| From: Michael D. Resnik (Maths as a Science of Patterns [1997], One.5.1) | |
| A reaction: This is the perennial problem with axioms - whether we start from them, or whether we deduce them after the event. There is nothing wrong with that, just as we might infer the existence of quarks because of their results. |
| 6304 | Mathematical realism says that maths exists, is largely true, and is independent of proofs [Resnik] |
| Full Idea: Mathematical realism is the doctrine that mathematical objects exist, that much contemporary mathematics is true, and that the existence and truth in question is independent of our constructions, beliefs and proofs. | |
| From: Michael D. Resnik (Maths as a Science of Patterns [1997], Three.12.9) | |
| A reaction: As thus defined, I would call myself a mathematical realist, but everyone must hesitate a little at the word 'exist' and ask, how does it exist? What is it 'made of'? To say that it exists in the way that patterns exist strikes me as very helpful. |
| 6300 | Mathematical constants and quantifiers only exist as locations within structures or patterns [Resnik] |
| Full Idea: In maths the primary subject-matter is not mathematical objects but structures in which they are arranged; our constants and quantifiers denote atoms, structureless points, or positions in structures; they have no identity outside a structure or pattern. | |
| From: Michael D. Resnik (Maths as a Science of Patterns [1997], Three.10.1) | |
| A reaction: This seems to me a very promising idea for the understanding of mathematics. All mathematicians acknowledge that the recognition of patterns is basic to the subject. Even animals recognise patterns. It is natural to invent a language of patterns. |
| 6303 | Sets are positions in patterns [Resnik] |
| Full Idea: On my view, sets are positions in certain patterns. | |
| From: Michael D. Resnik (Maths as a Science of Patterns [1997], Three.10.5) | |
| A reaction: I have always found the ontology of a 'set' puzzling, because they seem to depend on prior reasons why something is a member of a given set, which cannot always be random. It is hard to explain sets without mentioning properties. |
| 6302 | Structuralism must explain why a triangle is a whole, and not a random set of points [Resnik] |
| Full Idea: An objection is that structuralism fails to explain why certain mathematical patterns are unified wholes while others are not; for instance, some think that an ontological account of mathematics must explain why a triangle is not a 'random' set of points. | |
| From: Michael D. Resnik (Maths as a Science of Patterns [1997], Three.10.4) | |
| A reaction: This is an indication that we are not just saying that we recognise patterns in nature, but that we also 'see' various underlying characteristics of the patterns. The obvious suggestion is that we see meta-patterns. |
| 6295 | There are too many mathematical objects for them all to be mental or physical [Resnik] |
| Full Idea: If we take mathematics at its word, there are too many mathematical objects for it to be plausible that they are all mental or physical objects. | |
| From: Michael D. Resnik (Maths as a Science of Patterns [1997], One.1) | |
| A reaction: No one, of course, has ever claimed that they are, but this is a good starting point for assessing the ontology of mathematics. We are going to need 'rules', which can deduce the multitudinous mathematical objects from a small ontology. |
| 6296 | Maths is pattern recognition and representation, and its truth and proofs are based on these [Resnik] |
| Full Idea: I argue that mathematical knowledge has its roots in pattern recognition and representation, and that manipulating representations of patterns provides the connection between the mathematical proof and mathematical truth. | |
| From: Michael D. Resnik (Maths as a Science of Patterns [1997], One.1) | |
| A reaction: The suggestion that patterns are at the basis of the ontology of mathematics is the most illuminating thought I have encountered in the area. It immediately opens up the possibility of maths being an entirely empirical subject. |
| 6301 | Congruence is the strongest relationship of patterns, equivalence comes next, and mutual occurrence is the weakest [Resnik] |
| Full Idea: Of the equivalence relationships which occur between patterns, congruence is the strongest, equivalence the next, and mutual occurrence the weakest. None of these is identity, which would require the same position. | |
| From: Michael D. Resnik (Maths as a Science of Patterns [1997], Three.10.3) | |
| A reaction: This gives some indication of how an account of mathematics as a science of patterns might be built up. Presumably the recognition of these 'degrees of strength' cannot be straightforward observation, but will need an a priori component? |
| 19542 | It is nonsense that understanding does not involve knowledge; to understand, you must know [Dougherty/Rysiew] |
| Full Idea: The proposition that understanding does not involve knowledge is widespread (for example, in discussions of what philosophy aims at), but hardly withstands scrutiny. If you do not know how a jet engine works, you do not understand how it works. | |
| From: Dougherty,T/Rysiew,P (Experience First (and reply) [2014], p.24) | |
| A reaction: This seems a bit disingenuous. As in 'Theaetetus', knowing the million parts of a jet engine is not to understand it. More strongly - how could knowledge of an infinity of separate propositional truths amount to understanding on their own? |
| 19543 | To grasp understanding, we should be more explicit about what needs to be known [Dougherty/Rysiew] |
| Full Idea: An essential prerequisite for useful discussion of the relation between knowledge and understanding is systematic explicitness about what is to be known or understood. | |
| From: Dougherty,T/Rysiew,P (Experience First (and reply) [2014], p.25) | |
| A reaction: This is better. I say what needs to be known for understanding is the essence of the item under discussion (my PhD thesis!). Obviously understanding needs some knowledge, but I take it that epistemology should be understanding-first. That is the main aim. |
| 19541 | Rather than knowledge, our epistemic aim may be mere true belief, or else understanding and wisdom [Dougherty/Rysiew] |
| Full Idea: If we say our cognitive aim is to get knowledge, the opposing views are the naturalistic view that what matters is just true belief (or just 'getting by'), or that there are rival epistemic goods such as understanding and wisdom. | |
| From: Dougherty,T/Rysiew,P (Experience First (and reply) [2014], p.17) | |
| A reaction: [compressed summary] I'm a fan of understanding. The accumulation of propositional knowledge would relish knowing the mass of every grain of sand on a beach. If you say the propositions should be 'important', other values are invoked. |
| 19540 | Don't confuse justified belief with justified believers [Dougherty/Rysiew] |
| Full Idea: Much theorizing about justification conflates issues of justified belief with issues of justified/blameless believers. | |
| From: Dougherty,T/Rysiew,P (What is Knowledge-First Epistemology? [2014], p.12) | |
| A reaction: [They cite Kent Bach 1985] Presumably the only thing that really justifies a belief is the truth, or the actual facts. You could then say 'p is a justified belief, though no one actually believes it'. E.g. the number of stars is odd. |
| 19539 | If knowledge is unanalysable, that makes justification more important [Dougherty/Rysiew] |
| Full Idea: If knowledge is indeed unanalyzable, that could be seen as a liberation of justification to assume importance in its own right. | |
| From: Dougherty,T/Rysiew,P (What is Knowledge-First Epistemology? [2014], p.11) | |
| A reaction: [They cite Kvanvig 2003:192 and Greco 2010:9-] See Scruton's Idea 3897. I suspect that we should just give up discussing 'knowledge', which is a woolly and uninformative term, and focus on where the real epistemological action is. |
| 19538 | Entailment is modelled in formal semantics as set inclusion (where 'mammals' contains 'cats') [Dougherty/Rysiew] |
| Full Idea: Entailment is modelled in formal semantics as set inclusion. 'Cat' entails 'mammal' because the cats are a subset of the mammals. | |
| From: Dougherty,T/Rysiew,P (What is Knowledge-First Epistemology? [2014], p.10) | |
| A reaction: I would have thought that this was only one type of entailment. 'Travelling to Iceland entails flying'. Travelling includes flying, the reverse of cats/mammals, to a very complex set-theoretic account is needed. Interesting. |
| 6823 | Repay evil with good and your enemies will become friends (though this is hard) [Mohammed] |
| Full Idea: Requite evil with good, and he who is your enemy will become your dearest friend; but none will attain this save those who endure with fortitude and are greatly favoured by Allah. | |
| From: Mohammed (The Koran [c.622], Ch.41) | |
| A reaction: This seems opposed to some of the more vengeful remarks in the Koran. It strikes me as good common sense, since vengeance only seems to breed counter-vengeance. It doesn't carry the full altruistic commitment, though, of unrewarded love. |
| 6828 | You may break off a treaty if you fear treachery from your ally [Mohammed] |
| Full Idea: If you fear treachery from any of your allies, you may retaliate by breaking off your treaty with them; Allah does not love the treacherous. | |
| From: Mohammed (The Koran [c.622], Ch.8) | |
| A reaction: I do not think this is good advice. Everybody fears treachery, but if we all acted on that fear human relationships and society would immediately collapse. If anyone thought this was good advice, I would not want to make a treaty with them. |
| 6826 | Allah rewards those who are devout, sincere, patient, humble, charitable, chaste, and who fast [Mohammed] |
| Full Idea: Allah will bestow forgiveness and a rich reward on those, both men and women, who are devout, sincere, patient, humble, charitable and chaste; who fast and are ever mindful of Allah. | |
| From: Mohammed (The Koran [c.622], Ch.33) | |
| A reaction: Most people would still agree that all of these are virtues, though other lists will show interesting virtues that are not mentioned here, and many on this list seem overrated in the modern pantheon of virtues. |
| 6822 | Those who avenge themselves when wronged incur no guilt [Mohammed] |
| Full Idea: Those who avenge themselves when wronged incur no guilt. | |
| From: Mohammed (The Koran [c.622], Ch.42) | |
| A reaction: Compare Ideas 1659 (Protagoras), 346 (Socrates), 6288 (Jesus), and 4286 (Scruton!). In the light of those ideas, this comment in the Koran strikes me as coming from an older and less civilized world. |
| 6833 | Punish theft in men or women by cutting off their hands [Mohammed] |
| Full Idea: As for the man or woman who is guilty of theft, cut off their hands to punish them for their crimes. | |
| From: Mohammed (The Koran [c.622], Ch.5) | |
| A reaction: I find this shocking because it is irrevocable and offers no hope of redemption. It is particularly shocking that the text does not enjoin any caution about inflicting the punishment on the young, most of whom reform from thieving in later life. |
| 6825 | Do not kill except for a just cause [Mohammed] |
| Full Idea: Do not kill except for a just cause. | |
| From: Mohammed (The Koran [c.622], Ch.25) | |
| A reaction: Slippery slope! I can see that pleasure would not be a just cause, and ensuring the entry of all humanity to paradise might be one, but I find the area in between a little unclear. The Koran seems to allow you to decide for yourself. |
| 6832 | Killing a human, except as just punishment, is like killing all mankind [Mohammed] |
| Full Idea: We laid it down for the Israelites that whoever killed a human being, except as a punishment for murder or other wicked crimes, should be looked upon as though he had killed all mankind. | |
| From: Mohammed (The Koran [c.622], Ch.5) | |
| A reaction: It seems inconceivable that the Koran could be used to justify indiscriminate terrorism, in the light of remarks such as this. |
| 6811 | Allah is lord of creation, compassionate, merciful, king of judgement-day [Mohammed] |
| Full Idea: Praise be to Allah, Lord of Creation, The Compassionate, the Merciful, King of Judgement-day! | |
| From: Mohammed (The Koran [c.622], Exord) | |
| A reaction: The Muslim concept of God confronts directly a clear theological difficulty, a difficulty faced by any judge: the conflict between mercy and justice. Christianity seems to emphasise mercy, and Islam emphasises justice. |
| 6819 | True believers see that Allah made the night for rest and the day to give light [Mohammed] |
| Full Idea: Do they not see how We have made the night for them to rest in and the day to give them light? Surely there are signs in this for true believers. | |
| From: Mohammed (The Koran [c.622], Ch.27) | |
| A reaction: The main traditional argument for God implied in the Koran is the design argument. It is clear from this that Islam will not be comfortable with Darwinian evolution, which implies we are 'designed' for the Earth, not the Earth for us. |
| 6818 | Allah cannot have begotten a son, as He is self-sufficient [Mohammed] |
| Full Idea: They say: 'Allah has begotten a son.' Allah forbid! Self-sufficient is He. | |
| From: Mohammed (The Koran [c.622], Ch.10) | |
| A reaction: This is quite persuasive, except that the point of Jesus is that he suffers a cruel death, and we are required to identify with God's parental feelings here, His involvement, which would not occur with the death of one of His prophets. |
| 6829 | There shall be no compulsion in religion [Mohammed] |
| Full Idea: There shall be no compulsion in religion. | |
| From: Mohammed (The Koran [c.622], Ch.2) | |
| A reaction: This seems to contradict some of the more aggressive remarks in the Koran, such as Idea 6827. As I read it, the three non-compelling ideas that lead to true religion in the Koran are desire for paradise, fear of punishment, and worship of divine design. |
| 6834 | Unbelievers try to interpret the ambiguous parts of the Koran, simply to create dissension [Mohammed] |
| Full Idea: Some of the verses of the Koran are precise in meaning - they are the foundations of the Book - and others are ambiguous. Disbelievers follow the ambiguous part, to create dissension by seeking to explain it. No one knows its meaning except Allah. | |
| From: Mohammed (The Koran [c.622], Ch.3) | |
| A reaction: It is tempting to ask why some of the verses are ambiguous. The implication here is that they are a deliberate test for believers, like the apple in the garden of Eden. |
| 6817 | The Koran is certainly composed by Allah; no one could compose a chapter like it [Mohammed] |
| Full Idea: This Koran could not have been composed by any but Allah. It is beyond doubt from the Lord of the Creation. If they say: 'It is your own invention', say: 'Compose one chapter like it. Call on your false gods to help you!' | |
| From: Mohammed (The Koran [c.622], Ch.10) | |
| A reaction: I find this unpersuasive, firstly because I couldn't imitate the sonnets of Shakespeare either, and secondly because the authority of a text must be asserted outside the text, not within it. Scribble "this is a ten pound note" on a scrap of paper. |
| 6824 | Do not split into sects, exulting in separate beliefs [Mohammed] |
| Full Idea: Do not split up your religion into sects, each exulting in its own beliefs. | |
| From: Mohammed (The Koran [c.622], Ch.30) | |
| A reaction: This seems like good advice to a religion, but it is very difficult to retrace steps and reunite once it has happened. Which sect should make the greatest concessions? Must they both admit to being somewhat wrong? |
| 6821 | I created mankind that it might worship Me [Mohammed] |
| Full Idea: I created mankind and the jinn in order that they might worship Me. | |
| From: Mohammed (The Koran [c.622], Ch.51) | |
| A reaction: This seems to be a view common to all the monotheistic religions, with monasticism as its clearest (and most logical) outcome. Nietzsche is the most obvious opponent of this idea that the abasement of mankind is its highest ideal. |
| 6815 | Be patient with unbelievers, and leave them to the judgement of Allah [Mohammed] |
| Full Idea: Bear patiently with what the unbelievers say, and leave their company without recrimination; leave to Me those that deny the truth. | |
| From: Mohammed (The Koran [c.622], Ch.73) | |
| A reaction: This explicitly says Muslims should not attack infidels simply for their unbelief in Allah. |
| 6831 | He that kills a believer by design shall burn in Hell for ever [Mohammed] |
| Full Idea: He that kills a believer by design shall burn in Hell for ever. | |
| From: Mohammed (The Koran [c.622], Ch.4) | |
| A reaction: This would appear to make modern indiscriminate urban terrorism a damning sin for a Muslim. |
| 6827 | Make war on the unbelievers until Allah's religion reigns supreme [Mohammed] |
| Full Idea: Make war on the unbelievers until idolatry is no more and Allah's religion reigns supreme. | |
| From: Mohammed (The Koran [c.622], Ch.8) | |
| A reaction: This should presumably be seen in context, as a war speech written during a conflict, like Churchill 'fighting them on the beaches', which does not apply to modern German tourists. However, one worries about how fundamentalists might read it. |
| 6820 | The righteous shall dwell on couches in gardens, wedded to dark-eyed houris [Mohammed] |
| Full Idea: In fair gardens the righteous shall dwell in bliss, rejoicing in what their Lord will give them. They shall recline on couches ranged in rows. To dark-eyed houris We shall wed them. | |
| From: Mohammed (The Koran [c.622], Ch.52) | |
| A reaction: What I find distressing about this is that we have gradually worked out how young men can recline on couches in gardens with dark-eyed houris before death, and the Koran seems to depict it as the highest form of living. |
| 6812 | Heaven will be reclining on couches, eating fruit, attended by virgins [Mohammed] |
| Full Idea: All who dwell in heaven shall recline on couches lined with thick brocade, and within their reach will hang the fruits of gardens; they shall dwell with bashful virgins whom neither men nor jinnee will have touched before. | |
| From: Mohammed (The Koran [c.622], Ch.55) | |
| A reaction: In the seventh century this was more impressive than it seems now. I still find it sad (though understandable) that paradise must always be depicted in terms of physical pleasure. Aristotle wouldn't have yearned for such an immortality. |
| 6830 | Unbelievers will have their skin repeatedly burned off in hell [Mohammed] |
| Full Idea: Those that deny Our revelations We will burn in Hell-fire. No sooner will their skins be consumed that We shall give them other skins, so that they may truly taste Our scourge. Allah is mighty and wise. | |
| From: Mohammed (The Koran [c.622], Ch.4) | |
| A reaction: Of all the accounts of hell in the Koran, this strikes me as the most alarming. I cannot think of a worse infliction, because here every nerve which can experience pain will suffer it (though the drinking of boiling water, Idea 6816, will make it worse). |
| 6816 | The unbelievers shall drink boiling water [Mohammed] |
| Full Idea: As for the unbelievers, they shall drink boiling water. | |
| From: Mohammed (The Koran [c.622], Ch.10) | |
| A reaction: This seems to be presented not only as a threat to unbelievers, but also as a satisfaction to believers. |