47 ideas
| 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". |
| 18806 | Frege thought traditional categories had psychological and linguistic impurities [Frege, by Rumfitt] |
| Full Idea: Frege rejected the traditional categories as importing psychological and linguistic impurities into logic. | |
| From: report of Gottlob Frege (Function and Concept [1891]) by Ian Rumfitt - The Boundary Stones of Thought 1.2 | |
| A reaction: Resisting such impurities is the main motivation for making logic entirely symbolic, but it doesn't follow that the traditional categories have to be dropped. |
| 8490 | First-level functions have objects as arguments; second-level functions take functions as arguments [Frege] |
| Full Idea: Just as functions are fundamentally different from objects, so also functions whose arguments are and must be functions are fundamentally different from functions whose arguments are objects. The latter are first-level, the former second-level, functions. | |
| From: Gottlob Frege (Function and Concept [1891], p.38) | |
| A reaction: In 1884 he called it 'second-order'. This is the standard distinction between first- and second-order logic. The first quantifies over objects, the second over intensional entities such as properties and propositions. |
| 8492 | Relations are functions with two arguments [Frege] |
| Full Idea: Functions of one argument are concepts; functions of two arguments are relations. | |
| From: Gottlob Frege (Function and Concept [1891], p.39) | |
| A reaction: Nowadays we would say 'two or more'. Another interesting move in the aim of analytic philosophy to reduce the puzzling features of the world to mathematical logic. There is, of course, rather more to some relations than being two-argument functions. |
| 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. |
| 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. |
| 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'). |
| 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. |
| 8487 | Arithmetic is a development of logic, so arithmetical symbolism must expand into logical symbolism [Frege] |
| Full Idea: I am of the opinion that arithmetic is a further development of logic, which leads to the requirement that the symbolic language of arithmetic must be expanded into a logical symbolism. | |
| From: Gottlob Frege (Function and Concept [1891], p.30) | |
| A reaction: This may the the one key idea at the heart of modern analytic philosophy (even though logicism may be a total mistake!). Logic and arithmetical foundations become the master of ontology, instead of the servant. The jury is out on the whole enterprise. |
| 18899 | Frege takes the existence of horses to be part of their concept [Frege, by Sommers] |
| Full Idea: Frege regarded the existence of horses as a property of the concept 'horse'. | |
| From: report of Gottlob Frege (Function and Concept [1891]) by Fred Sommers - Intellectual Autobiography 'Realism' |
| 4028 | Frege allows either too few properties (as extensions) or too many (as predicates) [Mellor/Oliver on Frege] |
| Full Idea: Frege's theory of properties (which he calls 'concepts') yields too few properties, by identifying coextensive properties, and also too many, by letting every predicate express a property. | |
| From: comment on Gottlob Frege (Function and Concept [1891]) by DH Mellor / A Oliver - Introduction to 'Properties' §2 | |
| A reaction: Seems right; one extension may have two properties (have heart/kidneys), two predicates might express the same property. 'Cutting nature at the joints' covers properties as well as objects. |
| 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. |
| 8489 | The concept 'object' is too simple for analysis; unlike a function, it is an expression with no empty place [Frege] |
| Full Idea: I regard a regular definition of 'object' as impossible, since it is too simple to admit of logical analysis. Briefly: an object is anything that is not a function, so that an expression for it does not contain any empty place. | |
| From: Gottlob Frege (Function and Concept [1891], p.32) | |
| A reaction: Here is the core of the programme for deriving our ontology from our logic and language, followed through by Russell and Quine. Once we extend objects beyond the physical, it becomes incredibly hard to individuate them. |
| 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". |
| 9947 | Concepts are the ontological counterparts of predicative expressions [Frege, by George/Velleman] |
| Full Idea: Concepts, for Frege, are the ontological counterparts of predicative expressions. | |
| From: report of Gottlob Frege (Function and Concept [1891]) by A.George / D.J.Velleman - Philosophies of Mathematics Ch.2 | |
| A reaction: That sounds awfully like what many philosophers call 'universals'. Frege, as a platonist (at least about numbers), I would take to be in sympathy with that. At least we can say that concepts seem to be properties. |
| 10319 | An assertion about the concept 'horse' must indirectly speak of an object [Frege, by Hale] |
| Full Idea: Frege had a notorious difficulty over the concept 'horse', when he suggests that if we wish to assert something about a concept, we are obliged to proceed indirectly by speaking of an object that represents it. | |
| From: report of Gottlob Frege (Function and Concept [1891], Ch.2.II) by Bob Hale - Abstract Objects | |
| A reaction: This sounds like the thin end of a wedge. The great champion of objects is forced to accept them here as a façon de parler, when elsewhere they have ontological status. |
| 8488 | A concept is a function whose value is always a truth-value [Frege] |
| Full Idea: A concept in logic is closely connected with what we call a function. Indeed, we may say at once: a concept is a function whose value is always a truth-value. ..I give the name 'function' to what is meant by the 'unsaturated' part. | |
| From: Gottlob Frege (Function and Concept [1891], p.30) | |
| A reaction: So a function becomes a concept when the variable takes a value. Problems arise when the value is vague, or the truth-value is indeterminable. |
| 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. |
| 9948 | Unlike objects, concepts are inherently incomplete [Frege, by George/Velleman] |
| Full Idea: For Frege, concepts differ from objects in being inherently incomplete in nature. | |
| From: report of Gottlob Frege (Function and Concept [1891]) by A.George / D.J.Velleman - Philosophies of Mathematics Ch.2 | |
| A reaction: This is because they are 'unsaturated', needing a quantified variable to complete the sentence. This could be a pointer towards Quine's view of properties, as simply an intrinsic feature of predication about objects, with no separate identity. |
| 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. |
| 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. |
| 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. |
| 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. |
| 4972 | I may regard a thought about Phosphorus as true, and the same thought about Hesperus as false [Frege] |
| Full Idea: From sameness of meaning there does not follow sameness of thought expressed. A fact about the Morning Star may express something different from a fact about the Evening Star, as someone may regard one as true and the other false. | |
| From: Gottlob Frege (Function and Concept [1891], p.14) | |
| A reaction: This all gets clearer if we distinguish internalist and externalist theories of content. Why take sides on this? Why not just ask 'what is in the speaker's head?', 'what does the sentence mean in the community?', and 'what is the corresponding situation?' |
| 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. |
| 4316 | Either all action is rational, or reason dominates, or reason is only concerned with means [Cottingham] |
| Full Idea: We can distinguish rational exclusivism (all activity is guided by reason - Plato and Spinoza), rational hegemonism (all action is dominated by reason), and rational instrumentalism (reason assesses means rather than ends - Hume). | |
| From: John Cottingham (Reason, Emotions and Good Life [2000]) | |
| A reaction: The idea that reason is the only cause of actions seems deeply implausible, but I strongly resist Hume's instrumental approach. Action without desire is not a contradiction. |
| 8491 | The Ontological Argument fallaciously treats existence as a first-level concept [Frege] |
| Full Idea: The ontological proof of God's existence suffers from the fallacy of treating existence as a first-level concept. | |
| From: Gottlob Frege (Function and Concept [1891], p.38 n) | |
| A reaction: [See Idea 8490 for first- and second-order functions] This is usually summarised as the idea that existence is a quantifier rather than a predicate. |