26 ideas
18261 | A simplification which is complete constitutes a definition [Kant] |
Full Idea: By dissection I can make the concept distinct only by making the marks it contains clear. That is what analysis does. If this analysis is complete ...and in addition there are not so many marks, then it is precise and so constitutes a definition. | |
From: Immanuel Kant (Wiener Logik [1795], p.455), quoted by J. Alberto Coffa - The Semantic Tradition from Kant to Carnap 1 'Conc' | |
A reaction: I think Aristotle would approve of this. We need to grasp that a philosophical definition is quite different from a lexicographical definition. 'Completeness' may involve quite a lot. |
22275 | Logic gives us the necessary rules which show us how we ought to think [Kant] |
Full Idea: In logic the question is not one of contingent but of necessary rules, not how to think, but how we ought to think. | |
From: Immanuel Kant (Wiener Logik [1795], p.16), quoted by Michael Potter - The Rise of Analytic Philosophy 1879-1930 02 'Trans' | |
A reaction: Presumably it aspires to the objectivity of a single correct account of how we all ought to think. I'm sympathetic to that, rather than modern cultural relativism about reason. Logic is rooted in nature, not in arbitrary convention. |
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. |
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. |
18260 | If we knew what we know, we would be astonished [Kant] |
Full Idea: If we only know what we know ...we would be astonished by the treasures contained in our knowledge. | |
From: Immanuel Kant (Wiener Logik [1795], p.843), quoted by J. Alberto Coffa - The Semantic Tradition from Kant to Carnap 1 'Conc' | |
A reaction: Nice remark. He doesn't require immediat recall of knowledge. You can't be required to know that you know something. That doesn't imply externalism, though. I believe in securely founded internal knowledge which is hard to recall. |
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? |
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. |
20180 | A happy and joyous life must largely be a quiet life [Russell] |
Full Idea: A happy life must to a great extent be a quiet life, for it is only in an atmosphere of quiet that true joy can live. | |
From: Bertrand Russell (The Conquest of Happiness [1930], 4) | |
A reaction: Most people's image of happiness is absorption in an interesting task, or relaxing in good company. The idea that happiness is wild excitement exists, but is a minority view. |
20177 | Boredom always involves not being fully occupied [Russell] |
Full Idea: It is one of the essentials of boredom that one's faculties must not be fully occupied. | |
From: Bertrand Russell (The Conquest of Happiness [1930], 4) | |
A reaction: He gives running for your life as an example of non-boredom. I suspect that this is only the sort of boredom that troubled Russell, and not the sort of profound boredom that led the actor George Sanders to suicide (according to his last note). |
20178 | Life is now more interesting, but boredom is more frightening [Russell] |
Full Idea: We are less bored than our ancestors were, but we are more afraid of boredom | |
From: Bertrand Russell (The Conquest of Happiness [1930], 4) | |
A reaction: I get the impression that the invention of the powerful mobile phone has largely banished boredom from human life, except when you are obliged to switch it off. The fear of boredom may hence be even greater now. |
20176 | Boredom is an increasingly strong motivating power [Russell] |
Full Idea: Boredom has been, I believe, one of the great motive powers throughout the historical epoch, and is so at the present day more than ever. | |
From: Bertrand Russell (The Conquest of Happiness [1930], 4) | |
A reaction: Most of his essay tells us how to avoid boredom, rather than how it motivates. |
20179 | Happiness involves enduring boredom, and the young should be taught this [Russell] |
Full Idea: A certain power of enduring boredom is essential to a happy life, and is one of the things that ought to be taught to the young. | |
From: Bertrand Russell (The Conquest of Happiness [1930], 4) | |
A reaction: As an example he suggests that Wordsworth would never have written 'The Prelude' is he had never been bored when young. Which suggests that Russell doesn't really get boredom, seeing it merely as a stimulus to work. |