58 ideas
13252 | Some truths have true negations [Beall/Restall] |
Full Idea: Dialetheism is the view that some truths have true negations. | |
From: JC Beall / G Restall (Logical Pluralism [2006], 7.4) | |
A reaction: The important thing to remember is that they are truths. Thus 'Are you feeling happy?' might be answered 'Yes and no'. |
8187 | Frege was strongly in favour of taking truth to attach to propositions [Frege, by Dummett] |
Full Idea: Frege was strongly in favour of taking truth to attach to propositions, which he called 'thoughts' and regarded as being expressed by sentences. | |
From: report of Gottlob Frege (On Sense and Reference [1892]) by Michael Dummett - Truth and the Past 1 | |
A reaction: Sometimes it is necessary to know the time, the place, and the speaker before one can evaluate the truth of a proposition. Not just indexical words, but the indexical aspect of, say, "the team played badly". |
13247 | A truthmaker is an object which entails a sentence [Beall/Restall] |
Full Idea: The truthmaker thesis is that an object is a truthmaker for a sentence if and only if its existence entails the sentence. | |
From: JC Beall / G Restall (Logical Pluralism [2006], 5.5.3) | |
A reaction: The use of the word 'object' here is even odder than usual, and invites many questions. And the 'only if' seems peculiar, since all sorts of things can make a sentence true. 'There is someone in the house' for example. |
13249 | (∀x)(A v B) |- (∀x)A v (∃x)B) is valid in classical logic but invalid intuitionistically [Beall/Restall] |
Full Idea: The inference of 'distribution' (∀x)(A v B) |- (∀x)A v (∃x)B) is valid in classical logic but invalid intuitionistically. It is straightforward to construct a 'stage' at which the LHS is true but the RHS is not. | |
From: JC Beall / G Restall (Logical Pluralism [2006], 6.1.2) | |
A reaction: This seems to parallel the iterative notion in set theory, that you must construct your hierarchy. All part of the general 'constructivist' approach to things. Is some kind of mad platonism the only alternative? |
13242 | It's 'relevantly' valid if all those situations make it true [Beall/Restall] |
Full Idea: The argument from P to A is 'relevantly' valid if and only if, for every situation in which each premise in P is true, so is A. | |
From: JC Beall / G Restall (Logical Pluralism [2006], 5.2) | |
A reaction: I like the idea that proper inference should have an element of relevance to it. A falsehood may allow all sorts of things, without actually implying them. 'Situations' sound promising here. |
13243 | Excluded middle must be true for some situation, not for all situations [Beall/Restall] |
Full Idea: Relevant logic endorses excluded middle, ..but says instances of the law may fail. Bv¬B is true in every situation that settles the matter of B. It is necessary that there is some such situation. | |
From: JC Beall / G Restall (Logical Pluralism [2006], 5.2) | |
A reaction: See next idea for the unusual view of necessity on which this rests. It seems easier to assert something about all situations than just about 'some' situation. |
13245 | Relevant consequence says invalidity is the conclusion not being 'in' the premises [Beall/Restall] |
Full Idea: Relevant consequence says the conclusion of a relevantly invalid argument is not 'carried in' the premises - it does not follow from the premises. | |
From: JC Beall / G Restall (Logical Pluralism [2006], 5.3.3) | |
A reaction: I find this appealing. It need not invalidate classical logic. It is just a tougher criterion which is introduced when you want to do 'proper' reasoning, instead of just playing games with formal systems. |
13246 | Relevant logic does not abandon classical logic [Beall/Restall] |
Full Idea: We have not abandoned classical logic in our acceptance of relevant logic. | |
From: JC Beall / G Restall (Logical Pluralism [2006], 5.4) | |
A reaction: It appears that classical logic is straightforwardly accepted, but there is a difference of opinion over when it is applicable. |
13255 | Relevant logic may reject transitivity [Beall/Restall] |
Full Idea: Some relevant logics reject transitivity, but we defend the classical view. | |
From: JC Beall / G Restall (Logical Pluralism [2006], 8) | |
A reaction: [they cite Neil Tennant for this view] To reject transitivity (A?B ? B?C ? A?C) certainly seems a long way from classical logic. But in everyday inference Tennant's idea seems good. The first premise may be irrelevant to the final conclusion. |
13254 | A doesn't imply A - that would be circular [Beall/Restall] |
Full Idea: We could reject the inference from A to itself (on grounds of circularity). | |
From: JC Beall / G Restall (Logical Pluralism [2006], 8) | |
A reaction: [Martin-Meyer System] 'It's raining today'. 'Are you implying that it is raining today?' 'No, I'm SAYING it's raining today'. Logicians don't seem to understand the word 'implication'. Logic should capture how we reason. Nice proposal. |
13250 | Free logic terms aren't existential; classical is non-empty, with referring names [Beall/Restall] |
Full Idea: A logic is 'free' to the degree it refrains from existential import of its singular and general terms. Classical logic must have non-empty domain, and each name must denote in the domain. | |
From: JC Beall / G Restall (Logical Pluralism [2006], 7.1) | |
A reaction: My intuition is that logic should have no ontology at all, so I like the sound of 'free' logic. We can't say 'Pegasus does not exist', and then reason about Pegasus just like any other horse. |
13235 | Logic studies consequence; logical truths are consequences of everything, or nothing [Beall/Restall] |
Full Idea: Nowadays we think of the consequence relation itself as the primary subject of logic, and view logical truths as degenerate instances of this relation. Logical truths follow from any set of assumptions, or from no assumptions at all. | |
From: JC Beall / G Restall (Logical Pluralism [2006], 2.2) | |
A reaction: This seems exactly right; the alternative is the study of necessities, but that may not involve logic. |
13238 | Syllogisms are only logic when they use variables, and not concrete terms [Beall/Restall] |
Full Idea: According to the Peripatetics (Aristotelians), only syllogistic laws stated in variables belong to logic, and not their applications to concrete terms. | |
From: JC Beall / G Restall (Logical Pluralism [2006], 2.5) | |
A reaction: [from Lukasiewicz] Seems wrong. I take it there are logical relations between concrete things, and the variables are merely used to describe these relations. Variables lack the internal powers to drive logical necessities. Variables lack essence! |
13234 | The view of logic as knowing a body of truths looks out-of-date [Beall/Restall] |
Full Idea: Through much of the 20th century the conception of logic was inherited from Frege and Russell, as knowledge of a body of logical truths, as arithmetic or geometry was a knowledge of truths. This is odd, and a historical anomaly. | |
From: JC Beall / G Restall (Logical Pluralism [2006], 2.2) | |
A reaction: Interesting. I have always taken this idea to be false. I presume logic has minimal subject matter and truths, and preferably none at all. |
13232 | Logic studies arguments, not formal languages; this involves interpretations [Beall/Restall] |
Full Idea: Logic does not study formal languages for their own sake, which is formal grammar. Logic evaluates arguments, and primarily considers formal languages as interpreted. | |
From: JC Beall / G Restall (Logical Pluralism [2006], 2.1) | |
A reaction: Hodges seems to think logic just studies formal languages. The current idea strikes me as a much more sensible view. |
13241 | The model theory of classical predicate logic is mathematics [Beall/Restall] |
Full Idea: The model theory of classical predicate logic is mathematics if anything is. | |
From: JC Beall / G Restall (Logical Pluralism [2006], 4.2.1) | |
A reaction: This is an interesting contrast to the claim of logicism, that mathematics reduces to logic. This idea explains why students of logic are surprised to find themselves involved in mathematics. |
13253 | There are several different consequence relations [Beall/Restall] |
Full Idea: We are pluralists about logical consequence because we take there to be a number of different consequence relations, each reflecting different precisifications of the pre-theoretic notion of deductive logical consequence. | |
From: JC Beall / G Restall (Logical Pluralism [2006], 8) | |
A reaction: I don't see how you avoid the slippery slope that leads to daft logical rules like Prior's 'tonk' (from which you can infer anything you like). I say that nature imposes logical conquence on us - but don't ask me to prove it. |
13240 | A sentence follows from others if they always model it [Beall/Restall] |
Full Idea: The sentence X follows logically from the sentences of the class K if and only if every model of the class K is also a model of the sentence X. | |
From: JC Beall / G Restall (Logical Pluralism [2006], 3.2) | |
A reaction: This why the symbol |= is often referred to as 'models'. |
18772 | We can treat designation by a few words as a proper name [Frege] |
Full Idea: The designation of a single object can also consist of several words or other signs. For brevity, let every such designation be called a proper name. | |
From: Gottlob Frege (On Sense and Reference [1892]), quoted by Bernard Linsky - Quantification and Descriptions 1 | |
A reaction: Frege regards names and descriptions as in the same class. Russell, and then Kripke, had things to say about that. |
14075 | Proper name in modal contexts refer obliquely, to their usual sense [Frege, by Gibbard] |
Full Idea: According to Frege, a proper name in a modal context refers obliquely; its reference there is its usual sense. | |
From: report of Gottlob Frege (On Sense and Reference [1892]) by Allan Gibbard - Contingent Identity V | |
A reaction: [he cites the fourth page of Frege's 'Sense and Reference'] One can foresee problems with the word 'usual' here. Frege might be offering something better than Kripke does here. |
10424 | A Fregean proper name has a sense determining an object, instead of a concept [Frege, by Sainsbury] |
Full Idea: We could think of a referring expression in Fregean terms as what he calls a proper name (Eigenname): its Sinn (sense) is supposed to determine an object as opposed to a concept as its Bedeutung (referent). | |
From: report of Gottlob Frege (On Sense and Reference [1892]) by Mark Sainsbury - The Essence of Reference 18.1 | |
A reaction: The problem would be that the same expression could precisely indicate an object on one occasion, nearly do so on another, and totally fail on a third. |
18773 | People may have different senses for 'Aristotle', like 'pupil of Plato' or 'teacher of Alexander' [Frege] |
Full Idea: In the case of an actual proper name such as 'Aristotle' opinions as to the sense may differ. It might, for instance, be taken to be the following: the pupil of Plato and teacher of Alexander the Great. | |
From: Gottlob Frege (On Sense and Reference [1892], note), quoted by Bernard Linsky - Quantification and Descriptions 1 | |
A reaction: This note is 'notorious', and was a central target for Kripke's critique. Frege says people's senses may vary on this, and thinks the sense of 'Aristotle' can be accurately expressed. |
4978 | The meaning of a proper name is the designated object [Frege] |
Full Idea: The meaning of a proper name is the object itself which we designate by using it. | |
From: Gottlob Frege (On Sense and Reference [1892], p.30) | |
A reaction: I can't actually make sense of this. How can a physical object be identical with a meaning? What sort of thing is a 'meaning'? Meanings are just 'in the head', I suspect. |
10510 | Frege ascribes reference to incomplete expressions, as well as to singular terms [Frege, by Hale] |
Full Idea: Frege ascribes reference not only to singular terms, but equally to expressions of other kinds (the various kinds of incomplete expressions). | |
From: report of Gottlob Frege (On Sense and Reference [1892]) by Bob Hale - Abstract Objects Ch.3 Intro | |
A reaction: The incomplete expressions presumably make reference to concepts. Frege may not seem, therefore, to have a notion of reference as what plugs language into reality - except that he is presumably a platonist about concepts. |
18940 | It is a weakness of natural languages to contain non-denoting names [Frege] |
Full Idea: Languages have the fault of containing expressions which fail to designate an object. | |
From: Gottlob Frege (On Sense and Reference [1892], p.40) | |
A reaction: Wrong, Frege! This is a strength of natural languages! Names are tools. It isn't a failure of your hammer if you can't find any nails. |
18939 | In a logically perfect language every well-formed proper name designates an object [Frege] |
Full Idea: A logically perfect language should satisfy the conditions that every expression grammatically well constructed as a proper name out of signs already introduced shall in fact designate an object. | |
From: Gottlob Frege (On Sense and Reference [1892], p.41) | |
A reaction: This seems to cramp your powers of reasoning, if you must know the object to use the name ('Jack the Ripper'), and reasoning halts once you deny the object's existence ('Pegasus'), or you don't know if names co-refer ('Hesperus/Phosphorus'). |
18937 | If sentences have a 'sense', empty name sentences can be understood that way [Frege, by Sawyer] |
Full Idea: Frege's theory of 'sense' showed how sentences with empty names can have meaning and be understood. One just has to grasp the sense of the sentence (the thought expressed), and this is available even in the absence of a referent for the name. | |
From: report of Gottlob Frege (On Sense and Reference [1892]) by Sarah Sawyer - Empty Names 2 | |
A reaction: My immediate reaction is that this provides a promising solution to the empty names problem, which certainly never bothered me before I started reading philosophy. Sawyer says co-reference and truth problems remain. |
13236 | Logical truth is much more important if mathematics rests on it, as logicism claims [Beall/Restall] |
Full Idea: If mathematical truth reduces to logical truth then it is important what counts as logically true, …but if logicism is not a going concern, then the body of purely logical truths will be less interesting. | |
From: JC Beall / G Restall (Logical Pluralism [2006], 2.2) | |
A reaction: Logicism would only be one motivation for pursuing logical truths. Maybe my new 'Necessitism' will derive the Peano Axioms from broad necessary truths, rather than from logic. |
9462 | Frege is intensionalist about reference, as it is determined by sense; identity of objects comes first [Frege, by Jacquette] |
Full Idea: Intensionalism of reference is owing to Frege (in his otherwise extensionalist philosophy of language). Sense determines reference, so intension determines extension. An object must first satisfy identity requirements, and is thus in a set. | |
From: report of Gottlob Frege (On Sense and Reference [1892]) by Dale Jacquette - Intro to 'Philosophy of Logic' §4 | |
A reaction: The notion that identity of objects comes first sounds right - you can't just take objects as basic - they have to be individuated in order to be discussed. |
18936 | Frege moved from extensional to intensional semantics when he added the idea of 'sense' [Frege, by Sawyer] |
Full Idea: Frege moved from an extensional semantic theory (that countenances only linguistic expressions and their referents) to an intensional theory that invokes in addition a notion of sense. | |
From: report of Gottlob Frege (On Sense and Reference [1892]) by Sarah Sawyer - Empty Names 2 | |
A reaction: This was because of Frege's famous 'puzzles', such as the morning/evening star. Quine loudly proclaimed himself an 'extensionalist', implying that he had extensional solutions for Frege's Puzzles. |
13237 | Preface Paradox affirms and denies the conjunction of propositions in the book [Beall/Restall] |
Full Idea: The Paradox of the Preface is an apology, that you are committed to each proposition in the book, but admit that collectively they probably contain a mistake. There is a contradiction, of affirming and denying the conjunction of propositions. | |
From: JC Beall / G Restall (Logical Pluralism [2006], 2.4) | |
A reaction: This seems similar to the Lottery Paradox - its inverse perhaps. Affirm all and then deny one, or deny all and then affirm one? |
10533 | We can't get a semantics from nouns and predicates referring to the same thing [Frege, by Dummett] |
Full Idea: Frege is denying that on a traditional basis we can construct a workable semantics for a language; we can't regard terms like 'wisdom' as standing for the very same thing as the predicate 'x is wise' stands for. | |
From: report of Gottlob Frege (On Sense and Reference [1892]) by Michael Dummett - Frege Philosophy of Language (2nd ed) Ch.14 | |
A reaction: This follows from Idea 10532, indicating how to deal with the problem of universals. So predicates refer to concepts, and singular terms to objects. But I see no authoritative way of deciding which is which, given that paraphrases are possible. |
4893 | Frege was asking how identities could be informative [Frege, by Perry] |
Full Idea: A problem which Frege called to our attention is: how can identities be informative? | |
From: report of Gottlob Frege (On Sense and Reference [1892]) by John Perry - Knowledge, Possibility and Consciousness §5.2 | |
A reaction: E.g. (in Russell's example) how is "Scott is the author of 'Waverley'" more informative than "Scott is Scott"? A simple answer might just be that informative identities also tell you of a thing's properties. "The red ball is the heavy ball". |
13244 | Relevant necessity is always true for some situation (not all situations) [Beall/Restall] |
Full Idea: In relevant logic, the necessary truths are not those which are true in every situation; rather, they are those for which it is necessary that there is a situation making them true. | |
From: JC Beall / G Restall (Logical Pluralism [2006], 5.2) | |
A reaction: This seems to rest on the truthmaker view of such things, which I find quite attractive (despite Merricks's assault). Always ask what is making some truth necessary. This leads you to essences. |
13239 | Judgement is always predicating a property of a subject [Beall/Restall] |
Full Idea: All judgement, for Kant, is essentially the predication of some property to some subject. | |
From: JC Beall / G Restall (Logical Pluralism [2006], 2.5) | |
A reaction: Presumably the denial of a predicate could be a judgement, or the affirmation of ambiguous predicates? |
18752 | 'The concept "horse"' denotes a concept, yet seems also to denote an object [Frege, by McGee] |
Full Idea: The phrase 'the concept "horse"' can be the subject of a sentence, and ought to denote an object. But it clearly denotes the concept "horse". Yet Fregean concepts are said to be 'incomplete' objects, which led to confusion. | |
From: report of Gottlob Frege (On Sense and Reference [1892]) by Vann McGee - Logical Consequence 4 | |
A reaction: This is the notorious 'concept "horse"' problem, which was bad news for Frege's idea of a concept. |
22318 | Frege failed to show when two sets of truth-conditions are equivalent [Frege, by Potter] |
Full Idea: Frege's account suffered from a lack of precision about when two sets of truth-conditions should count as equivalent. (Wittgenstein aimed to rectify this defect). | |
From: report of Gottlob Frege (On Sense and Reference [1892]) by Michael Potter - The Rise of Analytic Philosophy 1879-1930 50 Intro |
4980 | The meaning (reference) of a sentence is its truth value - the circumstance of it being true or false [Frege] |
Full Idea: We are driven into accepting the truth-value of a sentence as constituting what it means (refers to). By the truth-value I understand the circumstance that it is true or false. | |
From: Gottlob Frege (On Sense and Reference [1892], p.34) | |
A reaction: Sounds bizarre, but Black's translation doesn't help. The notion of what the whole sentence refers to (rather than its sense) is a very theoretical notion. 'All true sentences refer to the truth' sounds harmless enough. |
9180 | Holism says all language use is also a change in the rules of language [Frege, by Dummett] |
Full Idea: Frege thought of a language as a game played with fixed rules, there being all the difference in the world between a move in the game and an alteration of the rules; but, if holism is correct, every move in the game changes the rules. | |
From: report of Gottlob Frege (On Sense and Reference [1892]) by Michael Dummett - Frege's Distinction of Sense and Reference p.248 | |
A reaction: Rules do shift over time, so there must be some mechanism for that - the rules can't sit in sacrosanct isolation. People play games with the language itself, as well as using it to play other games. |
4981 | The reference of a word should be understood as part of the reference of the sentence [Frege] |
Full Idea: I have transferred the relation between the parts and the whole of the sentence to its reference, by calling the reference of the word part of the reference of the sentence, if the word itself is part of the sentence. | |
From: Gottlob Frege (On Sense and Reference [1892], p.35) | |
A reaction: Since Frege says the reference of a true sentence is simply to truth, words have reference insofar as they make contributions to attempts at stating truths. |
17002 | Frege's 'sense' is ambiguous, between the meaning of a designator, and how it fixes reference [Kripke on Frege] |
Full Idea: Frege should be criticised for using the term 'sense' in two senses. He takes the sense of a designator to be its meaning; and he also takes it to be the way its reference is determined. …They correspond to two ordinary uses of 'definition'. | |
From: comment on Gottlob Frege (On Sense and Reference [1892]) by Saul A. Kripke - Naming and Necessity lectures Lecture 1 | |
A reaction: Stalnaker quotes this, but seems unconvinced that Frege is guilty. If the 'meaning' largely consists of a way of determining a reference, Frege would be in the clear. |
18778 | Every descriptive name has a sense, but may not have a reference [Frege] |
Full Idea: It may perhaps be granted that every grammatically well-formed expression representing a proper name always has a sense. But this is not to say that to this sense there also corresponds a reference. | |
From: Gottlob Frege (On Sense and Reference [1892]), quoted by Bernard Linsky - Quantification and Descriptions 3.1 | |
A reaction: Presumably this concerns fictional names such as 'Pegasus'. It seems to be good simple evidence for the distinction between sense and reference. |
7805 | Frege started as anti-realist, but the sense/reference distinction led him to realism [Frege, by Benardete,JA] |
Full Idea: In the Grundlagen of 1884 Frege was an anti-realist, but in Grundgesetze of 1893 he is a realist, who has profited by his interim discovery of the sense/reference distinction. | |
From: report of Gottlob Frege (On Sense and Reference [1892]) by José A. Benardete - Logic and Ontology | |
A reaction: This is the germ of the new realist philosophy which seems to be growing out of Kripke and co's causal theory of reference. The very notion of reference is realist (hence Russell's realism). |
4976 | The meaning (reference) of 'evening star' is the same as that of 'morning star', but not the sense [Frege] |
Full Idea: The meaning (reference) of 'evening star' is the same as that of 'morning star', but not the sense. | |
From: Gottlob Frege (On Sense and Reference [1892], p.27) | |
A reaction: Max Black translates 'bedeutung' as 'meaning', but nowadays everyone calls it 'reference'. This is Frege's crucial distinction, which greatly clarified analytical philosophy. Nevertheless, is it a sharp distinction? E.g. referring to a fictional name? |
4977 | In maths, there are phrases with a clear sense, but no actual reference [Frege] |
Full Idea: The expression 'the least rapidly convergent series' has a sense but demonstrably there is no reference, since a less rapidly convergent series (for any given series) can always be found. | |
From: Gottlob Frege (On Sense and Reference [1892], p.28) | |
A reaction: A nice example. 'The second Kennedy assassin' has a clear meaning, but does it have a reference? The meaning 'points at' a possible reference. We yet discover an identity. |
4979 | We are driven from sense to reference by our desire for truth [Frege] |
Full Idea: The striving for truth drives us always to advance from the sense to the thing meant (the reference). | |
From: Gottlob Frege (On Sense and Reference [1892], p.33) | |
A reaction: As in, we want to know the reference of 'the person who shot Kennedy'. I always perk up if truth is mentioned in a discussion of language, because it reminds us of the point of the whole thing. In 'Is he the best man?' I have the reference, not the truth. |
15597 | Frege's Puzzle: from different semantics we infer different reference for two names with the same reference [Frege, by Fine,K] |
Full Idea: Frege's Puzzle: If two sentences convey different information, they have different semantic roles, so the names 'Cicero' and 'Tully' are semantically different, in which case they are referentially different - but they are not referentially different. | |
From: report of Gottlob Frege (On Sense and Reference [1892]) by Kit Fine - Semantic Relationism 2.A | |
A reaction: [this is my summary of Fine's summary] Given the paradox, the question is which of these premisses should be challenged. Fregeans reject their being referentially different. Referentialists reject the different semantic roles. |
15155 | Expressions always give ways of thinking of referents, rather than the referents themselves [Frege, by Soames] |
Full Idea: For Frege, expressions always contribute ways of thinking of their referents, rather than the referents themselves, to the thoughts expressed by sentences. | |
From: report of Gottlob Frege (On Sense and Reference [1892]) by Scott Soames - Philosophy of Language 1.16 | |
A reaction: I have some sympathy for Frege. It always strikes me as daft to think that if I say 'my dustbin is empty', the dustbin becomes 'part' of my sentence. Sentences don't contain large plastic objects. |
11126 | 'Sense' gives meaning to non-referring names, and to two expressions for one referent [Frege, by Margolis/Laurence] |
Full Idea: Frege notes that an expression without a referent ('Pegasus') needn't lack a meaning, since it still has a sense, and the same referent (Eric Blair) can be associated with different expressions (George Orwell) because they convey different senses. | |
From: report of Gottlob Frege (On Sense and Reference [1892]) by E Margolis/S Laurence - Concepts 1.3 | |
A reaction: A nice neat summary of the value of Frege's introduction of the sense/reference distinction, which seems to me to be virtually undeniable (a rare event in modern philosophy). |
8164 | Frege was the first to construct a plausible theory of meaning [Frege, by Dummett] |
Full Idea: Frege was the first to construct a plausible theory of meaning, that is, a theory of how a human language functions. | |
From: report of Gottlob Frege (On Sense and Reference [1892]) by Michael Dummett - Thought and Reality 1 | |
A reaction: Presumably Frege had an advantage because he was the first to distinguish sense from reference, and hence to identify the subject-matter of the theory. Essentially Frege's theory is that of truth-conditions. |
9817 | Earlier Frege focuses on content itself; later he became interested in understanding content [Frege, by Dummett] |
Full Idea: Earlier Frege was interested solely in the content of our statements, not in our grasp of that content. His notion of 'sense' from 1891 onwards, has to do with understanding; the sense of an expression is something we grasp. | |
From: report of Gottlob Frege (On Sense and Reference [1892]) by Michael Dummett - Frege philosophy of mathematics Ch.2 | |
A reaction: The important point must be that the later theory depends on the earlier, so we can hardly give theories of understanding, if we don't have a view about what it is that is understood. |
8171 | Frege divided the meaning of a sentence into sense, force and tone [Frege, by Dummett] |
Full Idea: Frege distinguished three components of the meaning of a sentence: sense, force and tone; he used no single term for 'linguistic meaning' in general. ...The sense is only what bears on the truth or falsity of what the sentence expresses. | |
From: report of Gottlob Frege (On Sense and Reference [1892]) by Michael Dummett - Thought and Reality 3 | |
A reaction: Modern theories of meaning seem to assume that there is one item called 'meaning' which needs to be explained, but presumably this is 'strict and literal meaning', leaving the rest to pragmatics. |
4954 | Frege uses 'sense' to mean both a designator's meaning, and the way its reference is determined [Kripke on Frege] |
Full Idea: Frege should be criticised for using the term 'sense' in two senses. For he takes the sense of a designator to be its meaning; and he also takes it to be the way its reference is determined. | |
From: comment on Gottlob Frege (On Sense and Reference [1892]) by Saul A. Kripke - Naming and Necessity lectures Lecture 1 | |
A reaction: This criticism doesn't surprise me, as heroic pioneers like Frege seem to have been extremely unclear about what they were claiming. Kripke has helped, but we still need some great mind to step in and sort out the mess. |
7304 | Frege explained meaning as sense, semantic value, reference, force and tone [Frege, by Miller,A] |
Full Idea: Frege analysed the intuitive notion of meaning in terms of the notions of sense, semantic value, reference, force and tone. | |
From: report of Gottlob Frege (On Sense and Reference [1892], Pref) by Alexander Miller - Philosophy of Language Pref | |
A reaction: This suggests that there are two approaches to the explanation of meaning: either a simple identity with some other mental fact, or an analysis (as here) into a range of components. I remain open-minded on that. |
13248 | We can rest truth-conditions on situations, rather than on possible worlds [Beall/Restall] |
Full Idea: Situation semantics is a variation of the truth-conditional approach, taking the salient unit of analysis not to be the possible world, or some complete consistent index, but rather the more modest 'situation'. | |
From: JC Beall / G Restall (Logical Pluralism [2006], 5.5.4) | |
A reaction: When I read Davidson (and implicitly Frege) this is what I always assumed was meant. The idea that worlds are meant has crept in to give truth conditions for modal statements. Hence situation semantics must cover modality. |
13233 | Propositions commit to content, and not to any way of spelling it out [Beall/Restall] |
Full Idea: Our talk of propositions expresses commitment to the general notion of content, without a commitment to any particular way of spelling this out. | |
From: JC Beall / G Restall (Logical Pluralism [2006], 2.1) | |
A reaction: As a fan of propositions I like this. It leaves open the question of whether the content belongs to the mind or the language. Animals entertain propositions, say I. |
1472 | The propositions that God is good and omnipotent, and that evil exists, are logically contradictory [Mackie, by PG] |
Full Idea: There is a contradiction between the propositions that God is wholly good, God is omnipotent, and evil exists, and one of them has got to give way (assuming good eliminates evil, and omnipotence has no limit). | |
From: report of J.L. Mackie (Evil and Omnipotence [1955], Pref.) by PG - Db (ideas) |
1473 | Is evil an illusion, or a necessary contrast, or uncontrollable, or necessary for human free will? [Mackie, by PG] |
Full Idea: Perhaps evil is an illusion, or it is necessary for good to exist, or in humans it is required because we have free will, or God lacks the full power to control it, but none of these looks convincing. | |
From: report of J.L. Mackie (Evil and Omnipotence [1955], §B) by PG - Db (ideas) |