18 ideas
| 10580 | Mathematics is both necessary and a priori because it really consists of logical truths [Yablo] |
| Full Idea: Mathematics seems necessary because the real contents of mathematical statements are logical truths, which are necessary, and it seems a priori because logical truths really are a priori. | |
| From: Stephen Yablo (Abstract Objects: a Case Study [2002], 10) | |
| A reaction: Yablo says his logicism has a Kantian strain, because numbers and sets 'inscribed on our spectacles', but he takes a different view (in the present Idea) from Kant about where the necessity resides. Personally I am tempted by an a posteriori necessity. |
| 10579 | Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo] |
| Full Idea: Saying 'the number of Fs is 5', instead of using five quantifiers, puts the numeral in quantifiable position, which brings expressive advantages. 'There are more sheep in the field than cows' is an infinite disjunction, expressible in finite compass. | |
| From: Stephen Yablo (Abstract Objects: a Case Study [2002], 08) | |
| A reaction: See Hofweber with similar thoughts. This idea I take to be a key one in explaining many metaphysical confusions. The human mind just has a strong tendency to objectify properties, relations, qualities, categories etc. - for expression and for reasoning. |
| 10577 | Concrete objects have few essential properties, but properties of abstractions are mostly essential [Yablo] |
| Full Idea: Objects like me have a few essential properties, and numerous accidental ones. Abstract objects are a different story. The intrinsic properties of the empty set are mostly essential. The relations of numbers are also mostly essential. | |
| From: Stephen Yablo (Abstract Objects: a Case Study [2002], 01) |
| 10578 | We are thought to know concreta a posteriori, and many abstracta a priori [Yablo] |
| Full Idea: Our knowledge of concreta is a posteriori, but our knowledge of numbers, at least, has often been considered a priori. | |
| From: Stephen Yablo (Abstract Objects: a Case Study [2002], 02) |
| 12295 | 3-D says things are stretched in space but not in time, and entire at a time but not at a location [Fine,K] |
| Full Idea: Three-dimensionalist think a thing is somehow 'stretched out' through its location at a given time though not through the period during which it exists, and it is present in its entirety at a moment when it exists though not at a position of its location. | |
| From: Kit Fine (In Defence of Three-Dimensionalism [2006], p.1) | |
| A reaction: This definition is designed to set up Fine's defence of the 3-D view, by showing that various dubious asymmetries show up if you do not respect the distinctions offered by the 3-D view. |
| 12298 | Genuine motion, rather than variation of position, requires the 'entire presence' of the object [Fine,K] |
| Full Idea: In order to have genuine motion, rather than mere variation in position, it is necessary that the object should be 'entirely present' at each moment of the change. Thus without entire presence, or existence, genuine motion will not be possible. | |
| From: Kit Fine (In Defence of Three-Dimensionalism [2006], p.6) | |
| A reaction: See Idea 4786 for a rival view of motion. Of course, who says we have to have Kit Fine's 'genuine' motion, if some sort of ersatz motion still gets you to work in the morning? |
| 12296 | 4-D says things are stretched in space and in time, and not entire at a time or at a location [Fine,K] |
| Full Idea: Four-dimensionalists have thought that a material thing is as equally 'stretched out' in time as it is in space, and that there is no special way in which it is entirely present at a moment rather than at a position. | |
| From: Kit Fine (In Defence of Three-Dimensionalism [2006], p.1) | |
| A reaction: Compare his definition of 3-D in Idea 12295. The 4-D is contrary to our normal way of thinking. Since I don't think the future exists, I presume that if I am a 4-D object then I have to say that I don't yet exist, and I disapprove of such talk. |
| 18882 | You can ask when the wedding was, but not (usually) when the bride was [Fine,K, by Simons] |
| Full Idea: Fine says it is acceptable to ask when a wedding was and where it was, and it is acceptable to ask or state where the bride was (at a certain time), but not when she was. | |
| From: report of Kit Fine (In Defence of Three-Dimensionalism [2006], p.18) by Peter Simons - Modes of Extension: comment on Fine p.18 | |
| A reaction: This is aimed at three-dimensionalists who seem to think that a bride is a prolonged event, just as a wedding is. Fine is, interestingly, invoking ordinary language. When did the wedding start and end? When was the bride's birth and death? |
| 12297 | Three-dimensionalist can accept temporal parts, as things enduring only for an instant [Fine,K] |
| Full Idea: Even if one is a three-dimensionalist, one might affirm the existence of temporal parts, on the grounds that everything merely endures for an instant. | |
| From: Kit Fine (In Defence of Three-Dimensionalism [2006], p.2) | |
| A reaction: This seems an important point, as belief in temporal parts is normally equated with four-dimensionalism (see Idea 12296). The idea is that a thing might be 'entirely present' at each instant, only to be replaced by a simulacrum. |
| 23262 | Experience, sympathy and history are sensible grounds for laying claim to rights [Grayling] |
| Full Idea: Personal experience, social sympathies, and history together licence laying claim to rights …which we see to make good mutual as well as individual sense. | |
| From: A.C. Grayling (The Good State [2020], 6) | |
| A reaction: There are no such thing as natural rights, but there are clearly natural grounds on which it is very reasonable to base a claim for legal rights. If positive rights are just arbitrary, or expressions of power struggles, that is crazy. |
| 23263 | Politics is driven by power cliques [Grayling] |
| Full Idea: What drives political history is power cliques. | |
| From: A.C. Grayling (The Good State [2020], Conc) | |
| A reaction: A simple ideas which strikes me as accurate. Alternative views are that power is universally distributed (Foucault), or that power resides in a social class (Marx). Grayling's idea strikes me as more accurate. Each class has its cliques. |
| 23255 | It is essential for democracy that voting is free and well informed [Grayling] |
| Full Idea: A necessary condition for democracy to be realised is that the act of voting should be free and informed. | |
| From: A.C. Grayling (The Good State [2020], p.25) | |
| A reaction: The requirement that voters should be well informed has become an increasing modern problem, because the media are owned by the wealthy, and false rumours can spread at lightning speed. |
| 23254 | Democracies should require a supermajority for major questions [Grayling] |
| Full Idea: A threshhold or supermajority bar (such as 60%) is the appropriate way to deal with highly consequential questions. | |
| From: A.C. Grayling (The Good State [2020], p.23) | |
| A reaction: This seems to be a very conservative view, because rejection of a major change is a decision in favour of the status quo. Would this rule apply equally to abolishing capital punishment and to reintroducing it? |
| 23260 | A cap on time of service would restrict party control and career ambitions [Grayling] |
| Full Idea: A method by which legislators can be rendered independent of both party control and career ambitions is a cap on the amount of time they can serve as legislators. | |
| From: A.C. Grayling (The Good State [2020], 4) | |
| A reaction: The time of service must allow for learning the job, and then using the wisdom of experience. Presumably some career ambitions are needed if we are to have leaders. Not all party discipline is bad; great achievements are hard without it. |
| 23253 | Majority decisions are only acceptable if the minority interests are not vital [Grayling] |
| Full Idea: A majority being in favour of some course of action is the acceptable means of reaching decisions when no vital interest of a minority is endangered. | |
| From: A.C. Grayling (The Good State [2020], 1) | |
| A reaction: This is generally accepted in extreme cases, such as the majority voting to exterminate the minority. The difficulty is to decide what is a 'vital' interest, and to get the majority to care about it. |
| 23256 | Liberty and equality cannot be reconciled [Grayling] |
| Full Idea: Liberty and equality appear to be irresolvable contradictions. | |
| From: A.C. Grayling (The Good State [2020], 2) | |
| A reaction: [He particularly cites Isaiah Berlin for this view] Hm. The liberty of one is the liberty of all. I don't think I would feel that my liberty was unreasonably infringed if I lived in a society of imposed equality. The greedy hate equality the most. |
| 23258 | The very concept of democracy entails a need for justice [Grayling] |
| Full Idea: The concept of democracy - embodying the principles of participation and equal concern - entails that social justice is a mandatory aim. | |
| From: A.C. Grayling (The Good State [2020], 2) | |
| A reaction: The idea that democracy entails participation in any direct way is what the right wing reject. Sustained participation would presumably entail various sorts of justice. |
| 23259 | There should be separate legislative, executive and judicial institutions [Grayling] |
| Full Idea: The obvious solution is where the legislative, executive and judicial powers are exercised by different institutions, distinguished by function. The executive is answerable to the legislative, and the judicial is controlled by neither. | |
| From: A.C. Grayling (The Good State [2020], 3) | |
| A reaction: Separation by institution, rather than merely by separate individuals exercising the powers. I agree (with Popper etc) that institutions are the way to secure long-term success and justice. Grayling says the judiciary must not paralyse government. |