30 ideas
| 15592 | The usual Tarskian interpretation of variables is to specify their range of values [Fine,K] |
| Full Idea: The usual Tarskian way of indicating how a variable is to be interpreted is to simply specify its range of values. | |
| From: Kit Fine (Semantic Relationism [2007], 1.B) |
| 15593 | Variables can be viewed as special terms - functions taking assignments into individuals [Fine,K] |
| Full Idea: The alternative Tarskian way of indicating how a variable is to be interpreted is that a variable x will be a special case of the semantic value of the term; it will be a function which takes each assignment into the individual which it assigns to x. | |
| From: Kit Fine (Semantic Relationism [2007], 1.B) |
| 15590 | It seemed that Frege gave the syntax for variables, and Tarski the semantics, and that was that [Fine,K] |
| Full Idea: Once Frege had provided a clear syntactic account of variables and once Tarski had supplemented this with a rigorous semantic account, it would appear that there was nothing more of significance to be said. | |
| From: Kit Fine (Semantic Relationism [2007], 1) | |
| A reaction: He later remarks that there are now three semantic accounts: the Tarskian, the instantial, and the algebraic [see xref ideas]. He offers a fourth account in his Semantic Relationism. This grows from his puzzles about variables. |
| 15591 | In separate expressions variables seem identical in role, but in the same expression they aren't [Fine,K] |
| Full Idea: When we consider the semantic role of 'x' and 'y' in two distinct expressions x>0 and y>0, their semantic roles seems the same. But in the same expression, such as x>y, their roles seem to be different. | |
| From: Kit Fine (Semantic Relationism [2007], 1.A) | |
| A reaction: [compressed] This new puzzle about variables leads Fine to say that the semantics of variables, and other expressions, is not intrinsic to them, but depends on their external relations. Variables denote any term - unless another variable got there first. |
| 15595 | The 'algebraic' account of variables reduces quantification to the algebra of its component parts [Fine,K] |
| Full Idea: In the 'algebraic' approach to variables, we move from a quantified sentence to the term specifying a property (the λ-term), and then reducing to the algebraic operations for atomic formulas. | |
| From: Kit Fine (Semantic Relationism [2007], 1.C) | |
| A reaction: [Bealer is a source for this view] Fine describes it as an 'algebra of operations'. I presume this is a thoroughly formalist approach to the matter, which doesn't seem to get to the heart of the semantic question. |
| 15594 | 'Instantial' accounts of variables say we grasp arbitrary instances from their use in quantification [Fine,K] |
| Full Idea: According to the 'instantial' approach to variables, a closed quantified sentence is to be understood on the basis of one of its instances; from an understanding of an instance we understand satisfaction by an arbitrary individual. | |
| From: Kit Fine (Semantic Relationism [2007], 1.D) | |
| A reaction: Fine comments that this is intuitively plausible, but not very precise, because it depends on 'abstraction' of the individual from the expression. |
| 15599 | Cicero/Cicero and Cicero/Tully may differ in relationship, despite being semantically the same [Fine,K] |
| Full Idea: There may be a semantic relationship between 'Cicero' and 'Cicero' that does not hold between 'Cicero' and 'Tully', despite the lack of an intrinsic semantic difference between the names themselves. | |
| From: Kit Fine (Semantic Relationism [2007], 2.E) | |
| A reaction: This is the key idea of Fine's book, and a most original and promising approach to a rather intractable problem in reference. He goes on to distinguish names which are 'strictly' coreferential (the first pair) from those that are 'accidentally' so. |
| 13365 | Russell's Paradox is a stripped-down version of Cantor's Paradox [Priest,G on Russell] |
| Full Idea: Russell's Paradox is a stripped-down version of Cantor's Paradox. | |
| From: comment on Bertrand Russell (Letters to Frege [1902]) by Graham Priest - The Structure of Paradoxes of Self-Reference §2 |
| 10711 | Russell's paradox means we cannot assume that every property is collectivizing [Potter on Russell] |
| Full Idea: Russell's paradox showed that we cannot consistently assume what is sometimes called the 'naďve comprehension principle', namely that every property is collectivizing. | |
| From: comment on Bertrand Russell (Letters to Frege [1902]) by Michael Potter - Set Theory and Its Philosophy 03.6 |
| 9127 | Russell refuted Frege's principle that there is a set for each property [Russell, by Sorensen] |
| Full Idea: Russell refuted Frege's principle that there is a set for each property. | |
| From: report of Bertrand Russell (Letters to Frege [1902], 1904.12.12) by Roy Sorensen - Vagueness and Contradiction 6.1 | |
| A reaction: This is the principle stumbling block to any attempt to explain properties purely in terms of sets. I would say that Russell proved there couldn't be a set for each predicate. You can't glibly equate proper properties with predicates. |
| 15603 | I can only represent individuals as the same if I do not already represent them as the same [Fine,K] |
| Full Idea: I can only represent two individuals as being the same if I do not already represent them as the same. | |
| From: Kit Fine (Semantic Relationism [2007], 3.A) | |
| A reaction: A very nice simple point. If I say 'Hesperus is Hesperus' I am unable to comment on the object, but 'Hesperus is Phosphorus' has a different expressive power. Start from contexts where it is necessary to say that two things are actually one. |
| 15604 | If Cicero=Tully refers to the man twice, then surely Cicero=Cicero does as well? [Fine,K] |
| Full Idea: 'Cicero=Cicero' and 'Cicero=Tully' are both dyadic predications. It is unnatural to suppose that the use of the same name converts a dyadic predicate into a reflexive predicate, or that there is one reference to Cicero in the first and two in the second. | |
| From: Kit Fine (Semantic Relationism [2007], 3.A) | |
| A reaction: I am deeply suspicious of the supposed 'property' of being self-identical, but that may not deny that it could be a genuine truth (shorthand for 'the C you saw is the same as the C I saw'). Having an identity makes equality with self possible. |
| 6230 | If the soul were a tabula rasa, with no innate ideas, there could be no moral goodness or justice [Cudworth] |
| Full Idea: The soul is not a mere rasa tabula, a naked and passive thing, with no innate furniture of its own, nor any thing in it, but what was impressed upon it without; for then there could not possibly be any such thing as moral good and evil, just and unjust. | |
| From: Ralph Cudworth (On Eternal and Immutable Morality [1688], Bk IV Ch 6.4) | |
| A reaction: He goes on to quote Hobbes saying there is no good in objects themselves. I don't see why we must have an innate moral capacity, provided that we have a capacity to make judgements. |
| 6228 | Senses cannot judge one another, so what judges senses cannot be a sense, but must be superior [Cudworth] |
| Full Idea: The sight cannot judge of sounds, nor the hearing of light and colours; wherefore that which judges of all the senses and their several objects, cannot be itself any sense, but something of a superior nature. | |
| From: Ralph Cudworth (On Eternal and Immutable Morality [1688], Ch.II.VI.1) | |
| A reaction: How nice to find a seventeenth century English writer rebelling against empiricism! |
| 6229 | Sense is fixed in the material form, and so can't grasp abstract universals [Cudworth] |
| Full Idea: Sense which lies flat and grovelling in the individuals, and is stupidly fixed in the material form, is not able to rise up or ascend to an abstract universal notion. | |
| From: Ralph Cudworth (On Eternal and Immutable Morality [1688], Ch.III.III.2) | |
| A reaction: This still strikes me as being one of the biggest problems with reductive physicalism, that a lump of meat in your head can grasp abstractions (whatever they are) and universal concepts. Personally I am a physicalist, but it is weird. |
| 15602 | Mental files are devices for keeping track of basic coordination of objects [Fine,K] |
| Full Idea: Mental files should be seen as a device for keeping track of when objects are coordinated (represented as-the-same) and, rather than understand coordination in terms of mental files, we should understand mental files in terms of coordination. | |
| From: Kit Fine (Semantic Relationism [2007], 3.A) | |
| A reaction: Personally I think that the metaphor of a 'label' is much closer to the situation than that of a 'file'. Thus my concept of Cicero is labelled 'Tully', 'Roman', 'orator', 'philosophical example'... My problem is to distinguish the concept from its labels. |
| 15588 | You cannot determine the full content from a thought's intrinsic character, as relations are involved [Fine,K] |
| Full Idea: There is no determining the full content of what someone thinks or believes from the individual things that he thinks or believes; we must also look at the threads that tie the contents of these thoughts or beliefs together. | |
| From: Kit Fine (Semantic Relationism [2007], Intro) | |
| A reaction: I'm not sure what 'full' content could possibly mean. Does that include all our background beliefs which we hardly ever articulate. Content comes in degrees, or needs an arbitrary boundary? |
| 7531 | We don't assert private thoughts; the objects are part of what we assert [Russell] |
| Full Idea: I believe Mont Blanc itself is a component part of what is actually asserted in the proposition 'Mont Blanc is more than 4000 metres high'; we do not assert the thought, which is a private psychological matter, but the object of the thought. | |
| From: Bertrand Russell (Letters to Frege [1902], 1904.12.12), quoted by Ray Monk - Bertrand Russell: Spirit of Solitude Ch.4 | |
| A reaction: This would appear to be pretty much externalism about concepts, given that Russell would accept that other people know much more about Mont Blanc than he does, and their knowledge is included in what he asserts. |
| 15596 | The standard aim of semantics is to assign a semantic value to each expression [Fine,K] |
| Full Idea: The aim of semantics, as standardly conceived, is to assign a semantic value to each (meaningful) expression of the language under consideration. | |
| From: Kit Fine (Semantic Relationism [2007], 1.G) | |
| A reaction: Fine is raising the difficulty that these values can get entangled with one another. He proposes 'semantic connections' as a better aim. |
| 15587 | That two utterances say the same thing may not be intrinsic to them, but involve their relationships [Fine,K] |
| Full Idea: In my 'Semantic Relationism' the fact that two utterances say the same thing is not entirely a matter of their intrinsic semantic features; it may also turn on semantic relationships among the utterances of their parts not reducible to those features. | |
| From: Kit Fine (Semantic Relationism [2007], Intro) | |
| A reaction: You'll need to read the book slowly several times to get the hang of this, but at least it allows that two different utterances might say the same thing (express the same proposition, I would say). |
| 15589 | The two main theories are Holism (which is inferential), and Representational (which is atomistic) [Fine,K] |
| Full Idea: For holists a proper theory will be broadly inferential, while for their opponents it will be representational in character, describing relations between expressions and reality. Representational semantics is atomist, holist semantics inferential. | |
| From: Kit Fine (Semantic Relationism [2007], Intro) | |
| A reaction: Fine presents these as the two main schools in semantics. His own theory then proposes a more holistic version of the Representational view. He seeks the advantages of Frege's position, but without 'sense'. |
| 15598 | We should pursue semantic facts as stated by truths in theories (and not put the theories first!) [Fine,K] |
| Full Idea: A 'semantics' is a body of semantic facts, and a 'semantic theory' is a body of semantic truths. The natural order is a theory being understood as truths, which state facts. Davidson, alas, reversed this order, with facts understood through theories. | |
| From: Kit Fine (Semantic Relationism [2007], 2.C) | |
| A reaction: [compressed; he cites Davidson 1967, and calls it 'one of the most unfortunate tendencies in modern philosophy of language, ..as if chemistry were understood in terms of formulae rather than chemical facts']. |
| 15600 | Referentialist semantics has objects for names, properties for predicates, and propositions for connectives [Fine,K] |
| Full Idea: The standard referentialist semantics for a language with names is that the semantic value of the name is the object, the content of a predicate is a property, and the content of a logical connective is an operation on propositions. | |
| From: Kit Fine (Semantic Relationism [2007], 2.F) | |
| A reaction: My particular bęte noire is the idea that every predicate names a property. It is the tyranny of having to have a comprehensive semantic theory that drives this implausible picture. And I don't see how an object can be a semantic value… |
| 15601 | Fregeans approach the world through sense, Referentialists through reference [Fine,K] |
| Full Idea: Fregeans emphasise an orientation towards the speaker: possession of sense makes language meaningful, and language relates to the world through sense. For the Referentialist its representational relationships make it meaningful, and relate it to the world | |
| From: Kit Fine (Semantic Relationism [2007], 2.G) | |
| A reaction: The Referentialist approach is for Kripkean fans of direct reference, rather than the Fregean reference through descriptions. I am inclined to favour the old-fashioned, deeply discredited, much mocked Fregean approach. |
| 15605 | I take indexicals such as 'this' and 'that' to be linked to some associated demonstration [Fine,K] |
| Full Idea: Demonstrative uses of an indexical such as 'this' or 'that' should be taken to be anaphoric on an associated demonstration. It is a semantic requirement on the use of the indexical that it be coreferential with the demonstration. | |
| From: Kit Fine (Semantic Relationism [2007], Post 'Indexicals') | |
| A reaction: Similarly 'now' must connect to looking at a clock, and 'I' to pointing at some person. The demonstration could be of a verbal event, as much as a physical one. |
| 6227 | Keeping promises and contracts is an obligation of natural justice [Cudworth] |
| Full Idea: To keep faith and perform covenants is that which natural justice obligeth to absolutely. | |
| From: Ralph Cudworth (On Eternal and Immutable Morality [1688], Ch.II.4) | |
| A reaction: A nice example of an absolute moral intuition, but one which can clearly be challenged. Covenants (contracts) wouldn't work unless everyone showed intense commitment to keeping them, even beyond the grave, and we all benefit from good contracts. |
| 6225 | Obligation to obey all positive laws is older than all laws [Cudworth] |
| Full Idea: Obligation to obey all positive laws is older than all laws. | |
| From: Ralph Cudworth (On Eternal and Immutable Morality [1688], Ch.II.3) | |
| A reaction: Clearly villains can pass wicked laws, so there can't be an obligation to obey all laws (even if they are 'positive', which seems to beg the question). Nevertheless this is a good reason why laws cannot be the grounding of morality. |
| 6224 | An omnipotent will cannot make two things equal or alike if they aren't [Cudworth] |
| Full Idea: Omnipotent will cannot make things like or equal one to another, without the natures of likeness and equality. | |
| From: Ralph Cudworth (On Eternal and Immutable Morality [1688], Ch.II.I) | |
| A reaction: This is one of the many classic 'paradoxes of omnipotence'. The best strategy is to define omnipotence as 'being able to do everything which it is possible to do'. Anything beyond that is inviting paradoxical disaster. |
| 6223 | If the will and pleasure of God controls justice, then anything wicked or unjust would become good if God commanded it [Cudworth] |
| Full Idea: If the arbitrary will and pleasure of God is the first and only rule of good and justice, it follows that nothing can be so grossly wicked or unjust but if it were commanded by this omnipotent Deity, it must forthwith become holy, just and righteous. | |
| From: Ralph Cudworth (On Eternal and Immutable Morality [1688], Ch.I.I.5) | |
| A reaction: This is the strong (Platonic) answer to the Euthyphro Question (Idea 336). One answer is that God would not command in such a way - but why not? We may say that God and goodness merge into one, but we are interested in ultimate authority. |
| 6226 | The requirement that God must be obeyed must precede any authority of God's commands [Cudworth] |
| Full Idea: If it were not morally good and just in its own nature before any positive command of God, that God should be obeyed by his creatures, the bare will of God himself could not beget any obligation upon anyone. | |
| From: Ralph Cudworth (On Eternal and Immutable Morality [1688], Ch.II.3) | |
| A reaction: This strikes me as a self-evident truth, and a big problem for anyone who wants to make God the source of morality. You don't have to accept anyone's authority just because they are powerful or clever (though they do bestow a certain natural authority!). |