41 ideas
| 12124 | Metaphysics is the best knowledge, because it is the simplest [Bacon] |
| Full Idea: That knowledge is worthiest which is charged with least multiplicity, which appeareth to be metaphysic | |
| From: Francis Bacon (The Advancement of Learning [1605], II.VII.6) | |
| A reaction: A surprising view, coming from the father of modern science, but essentially correct. Obviously metaphysics aspires to avoid multiplicity, but it is riddled not only with complexity in its researches, but massive uncertainties. |
| 12123 | Natural history supports physical knowledge, which supports metaphysical knowledge [Bacon] |
| Full Idea: Knowledges are as pyramides, whereof history is the basis. So of natural philosophy, the basis is natural history, the stage next the basis is physic; the stage next the vertical point is metaphysic. | |
| From: Francis Bacon (The Advancement of Learning [1605], II.VII.6) | |
| A reaction: The father of modern science keeps a place for metaphysics, as the most abstract level above the physical sciences. I would say he is right. It leads to my own slogan: science is the servant of philosophy. |
| 12119 | Physics studies transitory matter; metaphysics what is abstracted and necessary [Bacon] |
| Full Idea: Physic should contemplate that which is inherent in matter, and therefore transitory; and metaphysic that which is abstracted and fixed | |
| From: Francis Bacon (The Advancement of Learning [1605], II.VII.3) | |
| A reaction: He cites the ancients for this view, with which he agrees. One could do worse than hang onto metaphysics as the study of necessities, but must then face the attacks of the Quineans - that knowledge of necessities is beyond us. |
| 12120 | Physics is of material and efficient causes, metaphysics of formal and final causes [Bacon] |
| Full Idea: Physic inquireth and handleth the material and efficient causes; and metaphysic handleth the formal and final causes. | |
| From: Francis Bacon (The Advancement of Learning [1605], II.VII.3) | |
| A reaction: Compare Idea 12119. This divides up Aristotle's famous Four Causes (or Explanations), outlined in 'Physics' II.3. The concept of 'matter', and the nature of 'cause' seem to me to fall with the purview of metaphysics. Interesting, though. |
| 8623 | Proof reveals the interdependence of truths, as well as showing their certainty [Euclid, by Frege] |
| Full Idea: Euclid gives proofs of many things which anyone would concede to him without question. ...The aim of proof is not merely to place the truth of a proposition beyond doubt, but also to afford us insight into the dependence of truths upon one another. | |
| From: report of Euclid (Elements of Geometry [c.290 BCE]) by Gottlob Frege - Grundlagen der Arithmetik (Foundations) §02 | |
| A reaction: This connects nicely with Shoemaker's view of analysis (Idea 8559), which I will adopt as my general view. I've always thought of philosophy as the aspiration to wisdom through the cartography of concepts. |
| 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? |
| 13907 | If you pick an arbitrary triangle, things proved of it are true of all triangles [Euclid, by Lemmon] |
| Full Idea: Euclid begins proofs about all triangles with 'let ABC be a triangle', but ABC is not a proper name. It names an arbitrarily selected triangle, and if that has a property, then we can conclude that all triangles have the property. | |
| From: report of Euclid (Elements of Geometry [c.290 BCE]) by E.J. Lemmon - Beginning Logic 3.2 | |
| A reaction: Lemmon adds the proviso that there must be no hidden assumptions about the triangle we have selected. You must generalise the properties too. Pick a triangle, any triangle, say one with three angles of 60 degrees; now generalise from it. |
| 6297 | Euclid's geometry is synthetic, but Descartes produced an analytic version of it [Euclid, by Resnik] |
| Full Idea: Euclid's geometry is a synthetic geometry; Descartes supplied an analytic version of Euclid's geometry, and we now have analytic versions of the early non-Euclidean geometries. | |
| From: report of Euclid (Elements of Geometry [c.290 BCE]) by Michael D. Resnik - Maths as a Science of Patterns One.4 | |
| A reaction: I take it that the original Euclidean axioms were observations about the nature of space, but Descartes turned them into a set of pure interlocking definitions which could still function if space ceased to exist. |
| 9603 | An assumption that there is a largest prime leads to a contradiction [Euclid, by Brown,JR] |
| Full Idea: Assume a largest prime, then multiply the primes together and add one. The new number isn't prime, because we assumed a largest prime; but it can't be divided by a prime, because the remainder is one. So only a larger prime could divide it. Contradiction. | |
| From: report of Euclid (Elements of Geometry [c.290 BCE]) by James Robert Brown - Philosophy of Mathematics Ch.1 | |
| A reaction: Not only a very elegant mathematical argument, but a model for how much modern logic proceeds, by assuming that the proposition is false, and then deducing a contradiction from it. |
| 9894 | A unit is that according to which each existing thing is said to be one [Euclid] |
| Full Idea: A unit is that according to which each existing thing is said to be one. | |
| From: Euclid (Elements of Geometry [c.290 BCE], 7 Def 1) | |
| A reaction: See Frege's 'Grundlagen' §29-44 for a sustained critique of this. Frege is good, but there must be something right about the Euclid idea. If I count stone, paper and scissors as three, each must first qualify to be counted as one. Psychology creeps in. |
| 8738 | Postulate 2 says a line can be extended continuously [Euclid, by Shapiro] |
| Full Idea: Euclid's Postulate 2 says the geometer can 'produce a finite straight line continuously in a straight line'. | |
| From: report of Euclid (Elements of Geometry [c.290 BCE]) by Stewart Shapiro - Thinking About Mathematics 4.2 | |
| A reaction: The point being that this takes infinity for granted, especially if you start counting how many points there are on the line. The Einstein idea that it might eventually come round and hit you on the back of the head would have charmed Euclid. |
| 22278 | Euclid relied on obvious properties in diagrams, as well as on his axioms [Potter on Euclid] |
| Full Idea: Euclid's axioms were insufficient to derive all the theorems of geometry: at various points in his proofs he appealed to properties that are obvious from the diagrams but do not follow from the stated axioms. | |
| From: comment on Euclid (Elements of Geometry [c.290 BCE]) by Michael Potter - The Rise of Analytic Philosophy 1879-1930 03 'aim' | |
| A reaction: I suppose if the axioms of a system are based on self-evidence, this would licence an appeal to self-evidence elsewhere in the system. Only pedants insist on writing down what is obvious to everyone! |
| 8673 | Euclid's parallel postulate defines unique non-intersecting parallel lines [Euclid, by Friend] |
| Full Idea: Euclid's fifth 'parallel' postulate says if there is an infinite straight line and a point, then there is only one straight line through the point which won't intersect the first line. This axiom is independent of Euclid's first four (agreed) axioms. | |
| From: report of Euclid (Elements of Geometry [c.290 BCE]) by Michèle Friend - Introducing the Philosophy of Mathematics 2.2 | |
| A reaction: This postulate was challenged in the nineteenth century, which was a major landmark in the development of modern relativist views of knowledge. |
| 10250 | Euclid needs a principle of continuity, saying some lines must intersect [Shapiro on Euclid] |
| Full Idea: Euclid gives no principle of continuity, which would sanction an inference that if a line goes from the outside of a circle to the inside of circle, then it must intersect the circle at some point. | |
| From: comment on Euclid (Elements of Geometry [c.290 BCE]) by Stewart Shapiro - Philosophy of Mathematics 6.1 n2 | |
| A reaction: Cantor and Dedekind began to contemplate discontinuous lines. |
| 10302 | Euclid says we can 'join' two points, but Hilbert says the straight line 'exists' [Euclid, by Bernays] |
| Full Idea: Euclid postulates: One can join two points by a straight line; Hilbert states the axiom: Given any two points, there exists a straight line on which both are situated. | |
| From: report of Euclid (Elements of Geometry [c.290 BCE]) by Paul Bernays - On Platonism in Mathematics p.259 |
| 14157 | Modern geometries only accept various parts of the Euclid propositions [Russell on Euclid] |
| Full Idea: In descriptive geometry the first 26 propositions of Euclid hold. In projective geometry the 1st, 7th, 16th and 17th require modification (as a straight line is not a closed series). Those after 26 depend on the postulate of parallels, so aren't assumed. | |
| From: comment on Euclid (Elements of Geometry [c.290 BCE]) by Bertrand Russell - The Principles of Mathematics §388 |
| 1600 | Euclid's common notions or axioms are what we must have if we are to learn anything at all [Euclid, by Roochnik] |
| Full Idea: The best known example of Euclid's 'common notions' is "If equals are subtracted from equals the remainders are equal". These can be called axioms, and are what "the man who is to learn anything whatever must have". | |
| From: report of Euclid (Elements of Geometry [c.290 BCE], 72a17) by David Roochnik - The Tragedy of Reason p.149 |
| 12121 | We don't assume there is no land, because we can only see sea [Bacon] |
| Full Idea: They are ill discoverers that think there is no land, when they can see nothing but sea. | |
| From: Francis Bacon (The Advancement of Learning [1605], II.VII.5) | |
| A reaction: Just the sort of pithy remark for which Bacon is famous. It is an obvious point, but a nice corrective to anyone who wants to apply empirical principles in a rather gormless way. |
| 12117 | Science moves up and down between inventions of causes, and experiments [Bacon] |
| Full Idea: All true and fruitful natural philosophy hath a double scale or ladder, ascendent and descendent, ascending from experiments to the invention of causes, and descending from causes to the invention of new experiments. | |
| From: Francis Bacon (The Advancement of Learning [1605], II.VII.1) | |
| A reaction: After several hundred years, I doubt whether anyone can come up with a better account of scientific method than Bacon's. |
| 12127 | Many different theories will fit the observed facts [Bacon] |
| Full Idea: The ordinary face and view of experience is many times satisfied by several theories and philosophies. | |
| From: Francis Bacon (The Advancement of Learning [1605], II.VIII.5) | |
| A reaction: He gives as his example that the Copernican system and the Ptolemaic system both seem to satisfy all the facts. He wrote in 1605, just before Galileo's telescope. His point is regularly made in modern discussions. In this case, he was wrong! |
| 12126 | People love (unfortunately) extreme generality, rather than particular knowledge [Bacon] |
| Full Idea: It is the nature of the mind of man (to the extreme prejudice of knowledge) to delight in the spacious liberty of generalities, as in a champaign region, and not in the inclosures of particularity. | |
| From: Francis Bacon (The Advancement of Learning [1605], II.VIII.1) | |
| A reaction: I have to plead guilty to this myself. He may have pinpointed the key motivation behind philosophy. We all want to know things, as Aristotle said, but some of us want the broad brush, and others want the fine detail. |
| 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. |
| 12125 | Teleological accounts are fine in metaphysics, but they stop us from searching for the causes [Bacon] |
| Full Idea: To say 'leaves are for protecting of fruit', or that 'clouds are for watering the earth', is well inquired and collected in metaphysic, but in physic they are impertinent. They are hindrances, and the search of the physical causes hath been neglected. | |
| From: Francis Bacon (The Advancement of Learning [1605], II.VII.7) | |
| A reaction: This is the standard rebellion against Aristotle which gave rise to the birth of modern science. The story has been complicated by natural selection, which bestows a sort of purpose on living things. Nowadays we pursue both paths. |
| 12118 | Essences are part of first philosophy, but as part of nature, not part of logic [Bacon] |
| Full Idea: I assign to summary philosophy the operation of essences (as quantity, similitude, diversity, possibility), with this distinction - that they be handled as they have efficacy in nature, and not logically. | |
| From: Francis Bacon (The Advancement of Learning [1605], II.VII.3) | |
| A reaction: I take this to be a splendid motto for scientific essentialism, in a climate where modal logicians appear to have taken over the driving seat in our understanding of essences. |