32 ideas
| 17641 | Discoveries in mathematics can challenge philosophy, and offer it a new foundation [Russell] |
| Full Idea: Any new discovery as to mathematical method and principles is likely to upset a great deal of otherwise plausible philosophising, as well as to suggest a new philosophy which will be solid in proportion as its foundations in mathematics are securely laid. | |
| From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.283) | |
| A reaction: This is a manifesto for modern analytic philosophy. I'm not convinced, especially if a fictionalist view of maths is plausible. What Russell wants is rigour, but there are other ways of getting that. Currently I favour artificial intelligence. |
| 17638 | If one proposition is deduced from another, they are more certain together than alone [Russell] |
| Full Idea: Two obvious propositions of which one can be deduced from the other both become more certain than either in isolation; thus in a complicated deductive system, many parts of which are obvious, the total probability may become all but absolute certainty. | |
| From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.279) | |
| A reaction: Thagard picked this remark out, in support of his work on coherence. |
| 17632 | Non-contradiction was learned from instances, and then found to be indubitable [Russell] |
| Full Idea: The law of contradiction must have been originally discovered by generalising from instances, though, once discovered, it was found to be quite as indubitable as the instances. | |
| From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.274) |
| 21032 | Speak truth only to those who deserve the truth [Sandel] |
| Full Idea: The duty to tell the truth applies only to those who deserve the truth. | |
| From: Michael J. Sandel (Justice: What's the right thing to do? [2009], 05) | |
| A reaction: [from Benjamin Constant, in opposition to Kant] I prefer the idea that we should use people 'after our own honour and dignity' (Hamlet), which means speaking the truth even to Donald Trump (for those of you who remember 2018). But not always. |
| 21033 | Careful evasions of truth at least show respect for it [Sandel] |
| Full Idea: A carefully crafted evasion pays homage to truth-telling in a way that an outright lie does not. | |
| From: Michael J. Sandel (Justice: What's the right thing to do? [2009], 05) | |
| A reaction: Nicely put. He refers to an incident in Kant's life. I think of the great equivocation controversy at the time of the 1605 Gunpowder Plot. See the porter in Macbeth. All I ask is that people care about the truth. Many people don't. Why? |
| 17629 | Which premises are ultimate varies with context [Russell] |
| Full Idea: Premises which are ultimate in one investigation may cease to be so in another. | |
| From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.273) |
| 17630 | The sources of a proof are the reasons why we believe its conclusion [Russell] |
| Full Idea: In mathematics, except in the earliest parts, the propositions from which a given proposition is deduced generally give the reason why we believe the given proposition. | |
| From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.273) |
| 17640 | Finding the axioms may be the only route to some new results [Russell] |
| Full Idea: The premises [of a science] ...are pretty certain to lead to a number of new results which could not otherwise have been known. | |
| From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.282) | |
| A reaction: I identify this as the 'fruitfulness' that results when the essence of something is discovered. |
| 17627 | It seems absurd to prove 2+2=4, where the conclusion is more certain than premises [Russell] |
| Full Idea: It is an apparent absurdity in proceeding ...through many rather recondite propositions of symbolic logic, to the 'proof' of such truisms as 2+2=4: for it is plain that the conclusion is more certain than the premises, and the supposed proof seems futile. | |
| From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.272) | |
| A reaction: Famously, 'Principia Mathematica' proved this fact at enormous length. I wonder if this thought led Moore to his common sense view of his own hand - the conclusion being better than the sceptical arguments? |
| 17628 | Arithmetic was probably inferred from relationships between physical objects [Russell] |
| Full Idea: When 2 + 2 =4 was first discovered, it was probably inferred from the case of sheep and other concrete cases. | |
| From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.272) |
| 17637 | The most obvious beliefs are not infallible, as other obvious beliefs may conflict [Russell] |
| Full Idea: Even where there is the highest degree of obviousness, we cannot assume that we are infallible - a sufficient conflict with other obvious propositions may lead us to abandon our belief, as in the case of a hallucination afterwards recognised as such. | |
| From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.279) | |
| A reaction: This approach to fallibilism seems to arise from the paradox that undermined Frege's rather obvious looking axioms. After Peirce and Russell, fallibilism has become a secure norm of modern thought. |
| 17639 | Believing a whole science is more than believing each of its propositions [Russell] |
| Full Idea: Although intrinsic obviousness is the basis of every science, it is never, in a fairly advanced science, the whole of our reason for believing any one proposition of the science. | |
| From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.279) |
| 17631 | Induction is inferring premises from consequences [Russell] |
| Full Idea: The inferring of premises from consequences is the essence of induction. | |
| From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.274) | |
| A reaction: So induction is just deduction in reverse? Induction is transcendental deduction? Do I deduce the premises from observing a lot of white swans? Hm. |
| 468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
| Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice. | |
| From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where? |
| 21036 | Not all deals are fair deals [Sandel] |
| Full Idea: The mere fact that you and I make a deal is not enough to make it fair. | |
| From: Michael J. Sandel (Justice: What's the right thing to do? [2009], 06) |
| 21038 | Does consent create the obligation, or must there be some benefit? [Sandel] |
| Full Idea: Legal thinkers have debated this question for a long time: can consent create an obligation on its own, or is some element of benefit or reliance required? | |
| From: Michael J. Sandel (Justice: What's the right thing to do? [2009], 06) | |
| A reaction: Clearly mere consent could be under some compulsion, either by the other party, or by some other forces. Keeping a deathbed promise usually brings no benefit, but is a matter of honour. Ah, honour! Can anyone remember what that is? |
| 21039 | Moral contracts involve both consent and reciprocity; making the deal, and keeping it [Sandel] |
| Full Idea: Despite a tendency to read consent into moral claims, it is hard to make sense of our morality without acknowledging the independent weight of reciprocity. If my wife is unfaithful I have two different grounds of outrage: our promise, and my loyalty. | |
| From: Michael J. Sandel (Justice: What's the right thing to do? [2009], 06) | |
| A reaction: The point is that Hobbes and co over-simplify what a contract is. Compare a contract with a promise. One must be two-sided, the other can be one-sided. |
| 21030 | The categorical imperative is not the Golden Rule, which concerns contingent desires [Sandel] |
| Full Idea: The Golden Rule depends on contingent facts about how people like to be treated. The categorical imperative asks that we abstract from such contingencies and respect persons as rational beings, regardless of what they might want in particular situations. | |
| From: Michael J. Sandel (Justice: What's the right thing to do? [2009], 05) | |
| A reaction: I think the Golden Rule is wrong for a different reason. It assumes that we all want similar things, which we don't. Focus on other people's needs, not yours. |
| 21031 | Man cannot dispose of himself, because he is not a thing to be owned [Sandel] |
| Full Idea: Man cannot dispose over himself because he is not a thing; he is not his own property. | |
| From: Michael J. Sandel (Justice: What's the right thing to do? [2009], 05) | |
| A reaction: [Kant lecture note] This is an important qualification to persons as ends. If a person owned themselves, that would separate the person from what they owned. Sandel mentions selling your own organs. Kant is considering prostitution. Why is slavery wrong? |
| 21035 | Just visiting (and using roads) is hardly ratifying the Constitution [Sandel] |
| Full Idea: It is hard to see how just passing through town is morally akin to ratifying the Constitution. | |
| From: Michael J. Sandel (Justice: What's the right thing to do? [2009], 06) | |
| A reaction: They say that philosophical ideas are never refuted, and no progress is made, but this sure put paid to John Locke. |
| 21037 | A ratified constitution may not be a just constitution [Sandel] |
| Full Idea: The fact that a constitution is ratified by the people does not prove that its provisions are just. | |
| From: Michael J. Sandel (Justice: What's the right thing to do? [2009], 06) | |
| A reaction: Yes indeed. And the fact that a majority won a referendum does not make their decision wise. Hence all constitutions must be open to evaluation. Gun laws in the US are the obvious example. |
| 21034 | A just constitution harmonises the different freedoms [Sandel] |
| Full Idea: As Kant sees it, a just constitution aims at harmonising each individual's freedom with that of everyone else. | |
| From: Michael J. Sandel (Justice: What's the right thing to do? [2009], 05) | |
| A reaction: [source?] Nice statement of the project. I increasingly see political philosophy as constitution design. I say philosophers have got fifty years to design an optimum constitution, and they should then down tools and promote it, in simple language. |
| 21049 | Liberal freedom was a response to assigned destinies like caste and class [Sandel] |
| Full Idea: Liberal freedom developed as an antidote to political theories that consigned persons to destinies fixed by caste or class, station or rank, custom, tradition or inherited status. | |
| From: Michael J. Sandel (Justice: What's the right thing to do? [2009], 09) | |
| A reaction: Virtually all human beings before modern times found that they had been 'assigned destinies'. The huge exception is war, especially civil war, which must be a huge liberation for many people, despite the danger. |
| 21040 | Libertarians just want formal equality in a free market; the meritocratic view wants fair equality [Sandel] |
| Full Idea: The libertarian view of distributive justice is a free market with formal equality of opportunity. The meritocratic view is a free market with fair equality of opportunity. | |
| From: Michael J. Sandel (Justice: What's the right thing to do? [2009], 06) | |
| A reaction: The obvious question is what has to be done, by intervention, to make the market fair. There are two major rival views of equality here. Is the starting point fair, and is the race itself fair? |
| 21028 | We can approach justice through welfare, or freedom, or virtue [Sandel] |
| Full Idea: We have identified three ways of approaching the distribution of goods: welfare, freedom and virtue. ...and these are three ways of thinking about justice. | |
| From: Michael J. Sandel (Justice: What's the right thing to do? [2009], 01) | |
| A reaction: Virtue is Sandel's distinctively Aristotelian contribution to the problem. The best known instance of justice is punishment, which is a distribution of harms. |
| 21027 | Justice concerns how a society distributes what it prizes - wealth, rights, power and honours [Sandel] |
| Full Idea: To ask whether a society is just is to ask how we distribute the things we prize - income and wealth, duties and rights, powers and opportunities, offices and honours. | |
| From: Michael J. Sandel (Justice: What's the right thing to do? [2009], 01) | |
| A reaction: There is, of course, the prior question of what things should be controlled by a society for distribution. But there is also justice in the promotional and pay structure of institutions within a society, including private institutions. |
| 21042 | Should we redress wrongs done by a previous generation? [Sandel] |
| Full Idea: Can we ever have a moral responsibility to redress wrongs committed by a previous generation? | |
| From: Michael J. Sandel (Justice: What's the right thing to do? [2009], 07) | |
| A reaction: Just asking for a friend. It seems to depend on how close we feel to the previous generation. Regretting the crime committed by a beloved parent is one thing. Despising the crime committed by some right bastard who shares my nationality is another. |
| 21043 | Distributive justice concern deserts, as well as who gets what [Sandel] |
| Full Idea: Debates about distributive justice are about not only who gets what but also what qualities are worthy of honour and reward. | |
| From: Michael J. Sandel (Justice: What's the right thing to do? [2009], 07) | |
| A reaction: So the 'undeserving poor' get nuffink? Does just being a human being deserve anything? Obviously yes. That said, we can't deny the concept of 'appropriate reward'. |
| 21052 | Justice is about how we value things, and not just about distributions [Sandel] |
| Full Idea: Justice is not only about the right way to distribute things. It is also about the right way to value things. | |
| From: Michael J. Sandel (Justice: What's the right thing to do? [2009], 10) | |
| A reaction: This is Sandel's distinctively Aristotelian contribution to the justice debate - with which I have great sympathy. And, as he argues, the values of things arise out of assessing their essential natures. |
| 21048 | Work is not fair if it is negotiated, even in a fair situation, but if it suits the nature of the worker [Sandel] |
| Full Idea: For the libertarian free exchange for labour is fair; for Rawls it requires fair background conditions; for Aristotle, for the work to be just it must be suited to the nature of the workers who perform it. | |
| From: Michael J. Sandel (Justice: What's the right thing to do? [2009], 08) | |
| A reaction: [compressed] Aristotle's idea is powerful, and Sandel performs a great service in drawing attention to it. Imagine the key negotiation in an interview being whether this particular work suits your nature! |
| 21045 | Teleological thinking is essential for social and political issues [Sandel] |
| Full Idea: It is not easy to dispense with teleological reasoning in thinking about social institutions and political practices. | |
| From: Michael J. Sandel (Justice: What's the right thing to do? [2009], 08) | |
| A reaction: I think teleological thinking is also indispensable in biology. You can't understand an ear or an eye if you don't know what it is FOR. If it relates to a mind, it is teleological. The eye of a dead person is for nothing. |
| 17633 | The law of gravity has many consequences beyond its grounding observations [Russell] |
| Full Idea: The law of gravitation leads to many consequences which could not be discovered merely from the apparent motions of the heavenly bodies. | |
| From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.275) |