36 ideas
| 9921 | 'True' is only occasionally useful, as in 'everything Fermat believed was true' [Burgess/Rosen] |
| Full Idea: In the disquotational view of truth, what saves truth from being wholly redundant and so wholly useless, is mainly that it provides an ability to state generalisations like 'Everything Fermat believed was true'. | |
| From: JP Burgess / G Rosen (A Subject with No Object [1997], I.A.2.c) | |
| A reaction: Sounds like the thin end of the wedge. Presumably we can infer that the first thing Fermat believed on his last Christmas Day was true. |
| 9924 | Modal logic gives an account of metalogical possibility, not metaphysical possibility [Burgess/Rosen] |
| Full Idea: If you want a logic of metaphysical possibility, the existing literature was originally developed to supply a logic of metalogical possibility, and still reflects its origins. | |
| From: JP Burgess / G Rosen (A Subject with No Object [1997], II.B.3.b) | |
| A reaction: This is a warning shot (which I don't fully understand) to people like me, who were beginning to think they could fill their ontology with possibilia, which could then be incorporated into the wider account of logical thinking. Ah well... |
| 9933 | The paradoxes are only a problem for Frege; Cantor didn't assume every condition determines a set [Burgess/Rosen] |
| Full Idea: The paradoxes only seem to arise in connection with Frege's logical notion of extension or class, not Cantor's mathematical notion of set. Cantor never assumed that every condition determines a set. | |
| From: JP Burgess / G Rosen (A Subject with No Object [1997], III.C.1.b) | |
| A reaction: This makes the whole issue a parochial episode in the history of philosophy, not a central question. Cantor favoured some sort of abstractionism (see Kit Fine on the subject). |
| 9928 | Mereology implies that acceptance of entities entails acceptance of conglomerates [Burgess/Rosen] |
| Full Idea: Mereology has ontological implications. The acceptance of some initial entities involves the acceptance of many further entities, arbitrary wholes having the entities as parts. It must accept conglomerates. Geometric points imply geometric regions. | |
| From: JP Burgess / G Rosen (A Subject with No Object [1997], II.C.1.b) | |
| A reaction: Presumably without the wholes being entailed by the parts, there is no subject called 'mereology'. But if the conglomeration is unrestricted, there is not much left to be said. 'Restricted' composition (by nature?) sounds a nice line. |
| 9926 | A relation is either a set of sets of sets, or a set of sets [Burgess/Rosen] |
| Full Idea: While in general a relation is taken to be a set of ordered pairs <u, v> = {{u}, {u, v}}, and hence a set of sets of sets, in special cases a relation can be represented by a set of sets. | |
| From: JP Burgess / G Rosen (A Subject with No Object [1997], II.C.1.a) | |
| A reaction: [See book for their examples, which are <, symmetric, and arbitrary] The fact that a relation (or anything else) can be represented in a certain way should never ever be taken to mean that you now know what the thing IS. |
| 9932 | The paradoxes no longer seem crucial in critiques of set theory [Burgess/Rosen] |
| Full Idea: Recent commentators have de-emphasised the set paradoxes because they play no prominent part in motivating the most articulate and active opponents of set theory, such as Kronecker (constructivism) or Brouwer (intuitionism), or Weyl (predicativism). | |
| From: JP Burgess / G Rosen (A Subject with No Object [1997], III.C.1.b) | |
| A reaction: This seems to be a sad illustration of the way most analytical philosophers have to limp along behind the logicians and mathematicians, arguing furiously about problems that have largely been abandoned. |
| 9923 | We should talk about possible existence, rather than actual existence, of numbers [Burgess/Rosen] |
| Full Idea: The modal strategy for numbers is to replace assumptions about the actual existence of numbers by assumptions about the possible existence of numbers | |
| From: JP Burgess / G Rosen (A Subject with No Object [1997], II.B.3.a) | |
| A reaction: This seems to be quite a good way of dealing with very large numbers and infinities. It is not clear whether 5 is so regularly actualised that we must consider it as permanent, or whether it is just a prominent permanent possibility. |
| 9925 | Structuralism and nominalism are normally rivals, but might work together [Burgess/Rosen] |
| Full Idea: Usually structuralism and nominalism are considered rivals. But structuralism can also be the first step in a strategy of nominalist reconstrual or paraphrase. | |
| From: JP Burgess / G Rosen (A Subject with No Object [1997], II.C.0) | |
| A reaction: Hellman and later Chihara seem to be the main proponents of nominalist structuralism. My sympathies lie with this strategy. Are there objects at the nodes of the structure, or is the structure itself platonic? Mill offers a route. |
| 9934 | Number words became nouns around the time of Plato [Burgess/Rosen] |
| Full Idea: The transition from using number words purely as adjectives to using them extensively as nouns has been traced to 'around the time of Plato'. | |
| From: JP Burgess / G Rosen (A Subject with No Object [1997], III.C.2.a) | |
| A reaction: [The cite Kneale and Kneale VI,§2 for this] It is just too tempting to think that in fact Plato (and early Platonists) were totally responsible for this shift, since the whole reification of numbers seems to be inherently platonist. |
| 16062 | A necessary relation between fact-levels seems to be a further irreducible fact [Lynch/Glasgow] |
| Full Idea: It seems unavoidable that the facts about logically necessary relations between levels of facts are themselves logically distinct further facts, irreducible to the microphysical facts. | |
| From: Lynch,MP/Glasgow,JM (The Impossibility of Superdupervenience [2003], C) | |
| A reaction: I'm beginning to think that rejecting every theory of reality that is proposed by carefully exposing some infinite regress hidden in it is a rather lazy way to do philosophy. Almost as bad as rejecting anything if it can't be defined. |
| 16061 | If some facts 'logically supervene' on some others, they just redescribe them, adding nothing [Lynch/Glasgow] |
| Full Idea: Logical supervenience, restricted to individuals, seems to imply strong reduction. It is said that where the B-facts logically supervene on the A-facts, the B-facts simply re-describe what the A-facts describe, and the B-facts come along 'for free'. | |
| From: Lynch,MP/Glasgow,JM (The Impossibility of Superdupervenience [2003], C) | |
| A reaction: This seems to be taking 'logically' to mean 'analytically'. Presumably an entailment is logically supervenient on its premisses, and may therefore be very revealing, even if some people think such things are analytic. |
| 9918 | Abstract/concrete is a distinction of kind, not degree [Burgess/Rosen] |
| Full Idea: The distinction of abstract and concrete is one of kind and not degree. | |
| From: JP Burgess / G Rosen (A Subject with No Object [1997], I.A.1.a) | |
| A reaction: I think I must agree with this. If there is a borderline, it would be in particulars that seem to have an abstract aspect to them. A horse involves the abstraction of being a horse, and it involves be one horse. |
| 9929 | Much of what science says about concrete entities is 'abstraction-laden' [Burgess/Rosen] |
| Full Idea: Much of what science says about concrete entities is 'abstraction-laden'. | |
| From: JP Burgess / G Rosen (A Subject with No Object [1997], III.A.1.d) | |
| A reaction: Not just science. In ordinary conversation we continually refer to particulars using so-called 'universal' predicates and object-terms, which are presumably abstractions. 'I've just seen an elephant'. |
| 9927 | Mathematics has ascended to higher and higher levels of abstraction [Burgess/Rosen] |
| Full Idea: In mathematics, since the beginning of the nineteenth century, there has been an ascent to higher and higher levels of abstraction. | |
| From: JP Burgess / G Rosen (A Subject with No Object [1997], II.C.1.b) | |
| A reaction: I am interested in clarifying what this means, which might involve the common sense and psychological view of the matter, as well as some sort of formal definition in terms of equivalence (or whatever). |
| 9930 | Abstraction is on a scale, of sets, to attributes, to type-formulas, to token-formulas [Burgess/Rosen] |
| Full Idea: There is a scale of abstractness that leads downwards from sets through attributes to formulas as abstract types and on to formulas as abstract tokens. | |
| From: JP Burgess / G Rosen (A Subject with No Object [1997], III.B.2.c) | |
| A reaction: Presumably the 'abstract tokens' at the bottom must have some interpretation, to support the system. Presumably one can keep going upwards, through sets of sets of sets. |
| 16060 | Nonreductive materialism says upper 'levels' depend on lower, but don't 'reduce' [Lynch/Glasgow] |
| Full Idea: The root intuition behind nonreductive materialism is that reality is composed of ontologically distinct layers or levels. …The upper levels depend on the physical without reducing to it. | |
| From: Lynch,MP/Glasgow,JM (The Impossibility of Superdupervenience [2003], B) | |
| A reaction: A nice clear statement of a view which I take to be false. This relationship is the sort of thing that drives people fishing for an account of it to use the word 'supervenience', which just says two things seem to hang out together. Fluffy materialism. |
| 16064 | The hallmark of physicalism is that each causal power has a base causal power under it [Lynch/Glasgow] |
| Full Idea: Jessica Wilson (1999) says what makes physicalist accounts different from emergentism etc. is that each individual causal power associated with a supervenient property is numerically identical with a causal power associated with its base property. | |
| From: Lynch,MP/Glasgow,JM (The Impossibility of Superdupervenience [2003], n 11) | |
| A reaction: Hence the key thought in so-called (serious, rather than self-evident) 'emergentism' is so-called 'downward causation', which I take to be an idle daydream. |
| 4020 | The modern self has disengaged reason, self-exploration, and personal commitment [Taylor,C] |
| Full Idea: The modern notion of the self is defined by disengaged reason (with its associated freedom and dignity), by self-exploration, and by personal commitment. | |
| From: Charles Taylor (Sources of the Self [1989], §13.1) | |
| A reaction: Taylor makes a good case that this broader view of how the self is seen is as important as narrow debates about personal identity. |
| 4002 | My aim is to map the connections between our sense of self and our moral understanding [Taylor,C] |
| Full Idea: My entire way of proceeding involves mapping connections between the sense of the self and moral visions, between identity and the good. | |
| From: Charles Taylor (Sources of the Self [1989], Pref) | |
| A reaction: An interesting project. Modern brain research supports the idea that emotions and values are tightly integrated into al thought. |
| 4006 | I can only be aware of myself as a person who changes by means of my personal history [Taylor,C] |
| Full Idea: As a being who grows and becomes I can only know myself through the history of my maturations and regressions, overcomings and defeats. | |
| From: Charles Taylor (Sources of the Self [1989], §2.3) | |
| A reaction: An important insight. My immediate sense of self makes my personal history central, not an extra. But a history must be a history OF something. |
| 9919 | The old debate classified representations as abstract, not entities [Burgess/Rosen] |
| Full Idea: The original debate was over abstract ideas; thus it was mental (or linguistic) representations that were classified as abstract or otherwise, and not the entities represented. | |
| From: JP Burgess / G Rosen (A Subject with No Object [1997], I.A.1.b) | |
| A reaction: This seems to beg the question of whether there are any such entities. It is equally plausible to talk of the entities that are 'constructed', rather than 'represented'. |
| 4003 | Selfhood and moral values are inextricably intertwined [Taylor,C] |
| Full Idea: Selfhood and the good, or in another way selfhood and morality, turn out to be inextricably intertwined. | |
| From: Charles Taylor (Sources of the Self [1989], §1.1) | |
| A reaction: This seems an inevitable convergence of three centuries of thought about personal identity and morality. |
| 4021 | Willingness to risk life was the constitutive quality of the man of honour [Taylor,C] |
| Full Idea: Willingness to risk life was the constitutive quality of the man of honour. | |
| From: Charles Taylor (Sources of the Self [1989], §13.1) | |
| A reaction: Which is why war is required. The growth of civil society meant the inevitable rise of other virtues. |
| 4005 | To have respect for people, you must feel their claims, or their injustices, or hold them in awe [Taylor,C] |
| Full Idea: If you want to discriminate more finely what makes humans worthy of respect, you must call to mind the claim of human suffering, or what is repugnant about justice, or the awe you feel about human life. | |
| From: Charles Taylor (Sources of the Self [1989], §1.1) | |
| A reaction: A persuasive part of the claim that such feelings are inseparable from thinking about people in any way at all. |
| 4004 | Consistency presupposes intrinsic description [Taylor,C] |
| Full Idea: The issue of consistency presupposes intrinsic description. | |
| From: Charles Taylor (Sources of the Self [1989], §1.1) | |
| A reaction: This may be the key criticism of Kant. The so-called 'maxim' of an action can be almost infinitely re-expressed to suit the agent. |
| 4010 | In later utilitarianism the modern stress on freedom leads to the rejection of paternalism [Taylor,C] |
| Full Idea: In mature utilitarianism , the stress on modern freedom emerges in the rejection of paternalism. | |
| From: Charles Taylor (Sources of the Self [1989], §3.3) | |
| A reaction: This seems good; it is the beginnings of a rejection of paternalism. What is better, happiness or freedom? What is the value of freedom? |
| 22809 | The social contract sees society as constituted by and for individuals [Taylor,C] |
| Full Idea: The social contract theory …has a vision of society as in some sense constituted by individuals for the fulfilment of ends which are primarily individual. | |
| From: Charles Taylor (Atomism [1979], p.29) | |
| A reaction: It seems to be initiated by individuals who are only motivated by what is in it for them. This presumes self-sufficient adults, rather than children, or parents with children, or dependent people. The epitome of liberalism, perhaps. |
| 22811 | Assigning a right based on a human capacity implies that the capacity should be developed [Taylor,C] |
| Full Idea: It would be incomprehensible and incoherent to ascribe rights to human beings in respect of the specifically human capacities (such as the right to beliefs or life-style) while at the same time denying that those capacities ought to be developed. | |
| From: Charles Taylor (Atomism [1979], p.33) | |
| A reaction: Developed by whom? The agent, their family, or the state? At what point has someone got a capacity, with no further requirement to develop it? Taylor pulls rather large rabbits out of small hats. |
| 22815 | If freedom depends on society and culture, the greatest freedom is in shaping them [Taylor,C] |
| Full Idea: If realising our freedom partly depends on the society and culture in which we live, then we exercise a fuller freedom if we can help determine the shape of this society and culture. | |
| From: Charles Taylor (Atomism [1979], p.47) | |
| A reaction: This is clearly in response to the critics of communitarianism who say that it is too conservative, because your values are created for you, by your community. |
| 22814 | Our reliance on other people close to us does not imply any political obligations [Taylor,C] |
| Full Idea: We must all be nurtures by others as children, and we only flourish as adults in relationship with friends, mates, children and so on. But this has nothing to do with any obligation to belong to political society. | |
| From: Charles Taylor (Atomism [1979], p.42) | |
| A reaction: He is defending community, but not at that minimal human level. Political obligations follows from our need for a wider society, to achieve justice, education, travel, health etc. There are no rights without a society |
| 22812 | For most people the primacy of rights mainly concerns freedom [Taylor,C] |
| Full Idea: Most of those who want to affirm the primacy of rights are more interested in asserting the right of freedom, and in a sense which can only be attributed to humans. | |
| From: Charles Taylor (Atomism [1979], p.40) | |
| A reaction: This is probably more pronounced in North America than in Europe. It may be that without freedom a lot of the other rights are impossible. |
| 22810 | A right is not just a rule, but also asserts certain ideas of moral worth [Taylor,C] |
| Full Idea: Asserting a right is more than issuing an injunction. It has an essential conceptual background, in some notion of the moral worth of certain properties or capacities, without which it would not make. | |
| From: Charles Taylor (Atomism [1979], p.33) | |
| A reaction: A simple right may arise from a contract, which could be quite trivial, and of no moral importance. The winner of the egg and spoon race has a right to the prize, which is an ice cream. I think he means legal rights in a state. |
| 22813 | Property is not essential for life, but it may be essential for independence [Taylor,C] |
| Full Idea: It is standardly said that we need the right to property as an essential underpinning of life, but this is patently not true. …In reality it is actually seen as an essential part of a life of independence. | |
| From: Charles Taylor (Atomism [1979], p.41) | |
| A reaction: Hence it has a high value for liberals, for whom an independent life is the prime social aspiration. The law of trespass will define the degree of independence provided by property. |
| 23417 | If the state is neutral, there won't be sufficient community to support a welfare state [Taylor,C, by Kymlicka] |
| Full Idea: Charles Taylor says the neutral [liberal] state undermines the sense of community which is required for citizens to accept the sacrifices demanded by the welfare state. | |
| From: report of Charles Taylor (Atomism [1979]) by Will Kymlicka - Community 'legitimacy' | |
| A reaction: As someone who believes in the welfare state, I think this is correct. Extreme individualistic liberalism is incompatible with a welfare state. A liberal society needs institutions which draw free individuals into the community. |
| 9922 | If space is really just a force-field, then it is a physical entity [Burgess/Rosen] |
| Full Idea: According to many philosophical commentators, a force-field must be considered to be a physical entity, and as the distinction between space and the force-field may be considered to be merely verbal, space itself may be considered to be a physical entity. | |
| From: JP Burgess / G Rosen (A Subject with No Object [1997], II.A.1) | |
| A reaction: The ontology becomes a bit odd if we cheerfully accept that space is physical, but then we can't give the same account of time. I'm not sure how time could be physical. What's it made of? |
| 4009 | Nominalists defended the sovereignty of God against the idea of natural existing good and evil [Taylor,C] |
| Full Idea: Late medieval nominalism defended the sovereignty of God as incompatible with there being an order in nature which by itself defined good and bad. | |
| From: Charles Taylor (Sources of the Self [1989], §3.3) | |
| A reaction: Part of their attack on Platonism. But what made them place such a high value on the sovereignty of God? |