29 ideas
7740 | There exists a realm, beyond objects and ideas, of non-spatio-temporal thoughts [Frege, by Weiner] |
Full Idea: There is, in addition to the external world of physical objects and the internal world of ideas, a third realm of non-spatio-temporal objective objects, among which are thoughts. | |
From: report of Gottlob Frege (The Thought: a Logical Enquiry [1918]) by Joan Weiner - Frege Ch.7 | |
A reaction: This seems to be Platonism, and, in particular, to give a Platonic existent status to propositions. Personally I believe in propositions, but as glimpses of how our brains actually work, not as mystical objects. |
19466 | The word 'true' seems to be unique and indefinable [Frege] |
Full Idea: It seems likely that the content of the word 'true' is sui generis and indefinable | |
From: Gottlob Frege (The Thought: a Logical Enquiry [1918], p.327 (60)) | |
A reaction: This is the view I associate with Davidson, though fans of Axiomatic Truth give up defining it, and just describe how it behaves. Defining it is very elusive, but I don't accept that nothing can be said about the contents of the concept of truth. |
19465 | There cannot be complete correspondence, because ideas and reality are quite different [Frege] |
Full Idea: It is essential that the reality shall be distinct from the idea. But then there can be no complete correspondence, no complete truth. | |
From: Gottlob Frege (The Thought: a Logical Enquiry [1918], p.327 (60)) | |
A reaction: He thinks that logic can give a perfect account of truth, or at least the extension of truth, where ordinary language will always fail. I wonder what he would have thought of Tarski's theory? |
19468 | The property of truth in 'It is true that I smell violets' adds nothing to 'I smell violets' [Frege] |
Full Idea: The sentence 'I smell the scent of violets' has just the same content as 'It is true that I smell the scent of violets'. So it seems that nothing is added to the thought by my ascribing to it the property of truth. | |
From: Gottlob Frege (The Thought: a Logical Enquiry [1918], p.328 (61)) | |
A reaction: This idea predates Ramsey's similar proposal, for which, oddly, Ramsey always seems to get the credit. To a logician they may have identical content, but pragmatically they are likely to differ in context. 'True' certainly doesn't add to the thought. |
10632 | The real numbers may be introduced by abstraction as ratios of quantities [Hale, by Hale/Wright] |
Full Idea: The real numbers may be introduced by abstraction as ratios of quantities. ..They are not defined by Dedekind cuts; rather, the cuts constitute a domain with the properties that are a necessary precondition. | |
From: report of Bob Hale (Reals by Abstraction [1998]) by B Hale / C Wright - Intro to 'The Reason's Proper Study' 3.3 | |
A reaction: This is Hale's neo-logicist attempt to derive the real numbers from Hume's Principle. |
17518 | Counting 'coin in this box' may have coin as the unit, with 'in this box' merely as the scope [Ayers] |
Full Idea: If we count the concept 'coin in this box', we could regard coin as the 'unit', while taking 'in this box' to limit the scope. Counting coins in two boxes would be not a difference in unit (kind of object), but in scope. | |
From: M.R. Ayers (Individuals without Sortals [1974], 'Counting') | |
A reaction: This is a very nice alternative to the Fregean view of counting, depending totally on the concept, and rests more on a natural concept of object. I prefer Ayers. Compare 'count coins till I tell you to stop'. |
17516 | If counting needs a sortal, what of things which fall under two sortals? [Ayers] |
Full Idea: If we accepted that counting objects always presupposes some sortal, it is surely clear that the class of objects to be counted could be designated by two sortals rather than one. | |
From: M.R. Ayers (Individuals without Sortals [1974], 'Realist' vii) | |
A reaction: His nice example is an object which is both 'a single piece of wool' and a 'sweater', which had better not be counted twice. Wiggins struggles to argue that there is always one 'substance sortal' which predominates. |
19470 | Thoughts in the 'third realm' cannot be sensed, and do not need an owner to exist [Frege] |
Full Idea: Thoughts are neither things in the external world nor ideas. A third realm must be recognised. Anything in this realm has it in common with ideas that it cannot be perceived by the senses, and does not need an owner to belong with his consciousness. | |
From: Gottlob Frege (The Thought: a Logical Enquiry [1918], p.337(69)) | |
A reaction: This important idea is the creed for modern platonists. We don't have to accept Forms, or any particular content, but there is a mode of existence which is distinct from both mental and physical, and is the residence of 'abstracta'. I deny it! |
17520 | Events do not have natural boundaries, and we have to set them [Ayers] |
Full Idea: In order to know which event has been ostensively identified by a speaker, the auditor must know the limits intended by the speaker. ...Events do not have natural boundaries. | |
From: M.R. Ayers (Individuals without Sortals [1974], 'Concl') | |
A reaction: He distinguishes events thus from natural objects, where the world, to a large extent, offers us the boundaries. Nice point. |
19471 | A fact is a thought that is true [Frege] |
Full Idea: A fact is a thought that is true. | |
From: Gottlob Frege (The Thought: a Logical Enquiry [1918], p.342(74)) | |
A reaction: It strikes me as pretty obvious that facts are not thoughts, because they concern the contents of thoughts. You can't discuss facts without the notion of what a thought is 'about'. If I think about my garden, the relevant fact is aspects of my garden. |
9877 | Late Frege saw his non-actual objective objects as exclusively thoughts and senses [Frege, by Dummett] |
Full Idea: Earlier, Frege divided objects into subjective, actual objective, and non-actual objective; in the 'Grundgesetze' he emphasised logical objects; but in 'The Thought' the non-actual objects become exclusively thoughts and their constituent senses. | |
From: report of Gottlob Frege (The Thought: a Logical Enquiry [1918]) by Michael Dummett - Frege philosophy of mathematics Ch.18 | |
A reaction: Sounds to me like Frege was finally waking up and taking a dose of common sense. The Equator is the standard example of a non-actual objective object. |
17519 | To express borderline cases of objects, you need the concept of an 'object' [Ayers] |
Full Idea: The only explanation of the power to produce borderline examples like 'Is this hazelnut one object or two?' is the possession of the concept of an object. | |
From: M.R. Ayers (Individuals without Sortals [1974], 'Counting') |
17511 | Recognising continuity is separate from sortals, and must precede their use [Ayers] |
Full Idea: The recognition of the fact of continuity is logically independent of the possession of sortal concepts, whereas the formation of sortal concepts is at least psychologically dependent upon the recognition of continuity. | |
From: M.R. Ayers (Individuals without Sortals [1974], Intro) | |
A reaction: I take this to be entirely correct. I might add that unity must also be recognised. |
17510 | Speakers need the very general category of a thing, if they are to think about it [Ayers] |
Full Idea: If a speaker indicates something, then in order for others to catch his reference they must know, at some level of generality, what kind of thing is indicated. They must categorise it as event, object, or quality. Thinking about something needs that much. | |
From: M.R. Ayers (Individuals without Sortals [1974], Intro) | |
A reaction: Ayers defends the view that such general categories are required, but not the much narrower sortal terms defended by Geach and Wiggins. I'm with Ayers all the way. 'What the hell is that?' |
17522 | We use sortals to classify physical objects by the nature and origin of their unity [Ayers] |
Full Idea: Sortals are the terms by which we intend to classify physical objects according to the nature and origin of their unity. | |
From: M.R. Ayers (Individuals without Sortals [1974], 'Concl') | |
A reaction: This is as opposed to using sortals for the initial individuation. I take the perception of the unity to come first, so resemblance must be mentioned, though it can be an underlying (essentialist) resemblance. |
17515 | Seeing caterpillar and moth as the same needs continuity, not identity of sortal concepts [Ayers] |
Full Idea: It is unnecessary to call moths 'caterpillars' or caterpillars 'moths' to see that they can be the same individual. It may be that our sortal concepts reflect our beliefs about continuity, but our beliefs about continuity need not reflect our sortals. | |
From: M.R. Ayers (Individuals without Sortals [1974], 'Realist' vi) | |
A reaction: Something that metamorphosed through 15 different stages could hardly required 15 different sortals before we recognised the fact. Ayers is right. |
17517 | Could the same matter have more than one form or principle of unity? [Ayers] |
Full Idea: The abstract question arises of whether the same matter could be subject to more than one principle of unity simultaneously, or unified by more than one 'form'. | |
From: M.R. Ayers (Individuals without Sortals [1974], 'Realist' vii) | |
A reaction: He suggests that the unity of the sweater is destroyed by unravelling, and the unity of the thread by cutting. |
17513 | If there are two objects, then 'that marble, man-shaped object' is ambiguous [Ayers] |
Full Idea: The statue is marble and man-shaped, but so is the piece of marble. So not only are the two objects in the same place, but two marble and man-shaped objects in the same place, so 'that marble, man-shaped object' must be ambiguous or indefinite. | |
From: M.R. Ayers (Individuals without Sortals [1974], 'Prob') | |
A reaction: It strikes me as basic that it can't be a piece of marble if you subtract its shape, and it can't be a statue if you subtract its matter. To treat a statue as an object, separately from its matter, is absurd. |
17523 | Sortals basically apply to individuals [Ayers] |
Full Idea: Sortals, in their primitive use, apply to the individual. | |
From: M.R. Ayers (Individuals without Sortals [1974], 'Concl') | |
A reaction: If the sortal applies to the individual, any essence must pertain to that individual, and not to the class it has been placed in. |
17521 | You can't have the concept of a 'stage' if you lack the concept of an object [Ayers] |
Full Idea: It would be impossible for anyone to have the concept of a stage who did not already possess the concept of a physical object. | |
From: M.R. Ayers (Individuals without Sortals [1974], 'Concl') |
17514 | Temporal 'parts' cannot be separated or rearranged [Ayers] |
Full Idea: Temporally extended 'parts' are still mysteriously inseparable and not subject to rearrangement: a thing cannot be cut temporally in half. | |
From: M.R. Ayers (Individuals without Sortals [1974], 'Prob') | |
A reaction: A nice warning to anyone accepting a glib analogy between spatial parts and temporal parts. |
17509 | Some say a 'covering concept' completes identity; others place the concept in the reference [Ayers] |
Full Idea: Some hold that the 'covering concept' completes the incomplete concept of identity, determining the kind of sameness involved. Others strongly deny the identity itself is incomplete, and locate the covering concept within the necessary act of reference. | |
From: M.R. Ayers (Individuals without Sortals [1974], Intro) | |
A reaction: [a bit compressed; Geach is the first view, and Quine the second; Wiggins is somewhere between the two] |
17512 | If diachronic identities need covering concepts, why not synchronic identities too? [Ayers] |
Full Idea: Why are covering concepts required for diachronic identities, when they must be supposed unnecessary for synchronic identities? | |
From: M.R. Ayers (Individuals without Sortals [1974], 'Prob') |
19469 | We grasp thoughts (thinking), decide they are true (judgement), and manifest the judgement (assertion) [Frege] |
Full Idea: We distinguish the grasp of a thought, which is 'thinking', from the acknowledgement of the truth of a thought, which is the act of 'judgement', from the manifestation of this judgement, which is an 'assertion'. | |
From: Gottlob Frege (The Thought: a Logical Enquiry [1918], p.329 (62)) |
8162 | Thoughts have their own realm of reality - 'sense' (as opposed to the realm of 'reference') [Frege, by Dummett] |
Full Idea: For Frege, thoughts belong to a special realm of reality, which he called the 'realm of sense' and distinguished from the 'realm of reference'. | |
From: report of Gottlob Frege (The Thought: a Logical Enquiry [1918]) by Michael Dummett - Thought and Reality 1 | |
A reaction: A thought is, for Frege, a proposition. There is a halfway Platonism possible here, where the 'realm' for such things exists, but within that realm the objects might be conventional, or some such. Real possible worlds containing fictions! |
9818 | A thought is distinguished from other things by a capacity to be true or false [Frege, by Dummett] |
Full Idea: On Frege's view, what distinguishes thoughts from everything else is that they may meaningfully be called 'true' and 'false'. | |
From: report of Gottlob Frege (The Thought: a Logical Enquiry [1918]) by Michael Dummett - Frege philosophy of mathematics Ch.2 | |
A reaction: A lot of thinking is imagistic, and while the image may or may not truly picture the world, we tend to think that the truth or otherwise of daydreaming is simply irrelevant. Does Frege take all thought to be propositional? |
16379 | Thoughts about myself are understood one way to me, and another when communicated [Frege] |
Full Idea: When Dr Lauben thinks he has been wounded, ..only Dr Lauben can grasp thoughts determined in this way. But he cannot communicate a thought which only he can grasp. To say 'I have been wounded' he must use 'I' in a sense graspable by others. | |
From: Gottlob Frege (The Thought: a Logical Enquiry [1918]), quoted by François Recanati - Mental Files 16.1 | |
A reaction: [compressed] This seems to be the first, and very influential, attempt to explain the unusual and revealing semantics of indexicals. It seems to be the ultimate source of 2-D semantics, by introducing two modes of meaning for one term. |
19467 | A 'thought' is something for which the question of truth can arise; thoughts are senses of sentences [Frege] |
Full Idea: I call a 'thought' something for which the question of truth can arise at all. ...So I can say: thoughts are senses of sentences, without wishing to assert that the sense of every sentence is a thought. | |
From: Gottlob Frege (The Thought: a Logical Enquiry [1918], p.327-8 (61)) | |
A reaction: This builds on his distinction between sense and reference. The reference of every truth sentence is just 'the true', and the sense is the proposition. The concept of a proposition seems indispensable to logic, I would say. |
19472 | A sentence is only a thought if it is complete, and has a time-specification [Frege] |
Full Idea: Only a sentence with the time-specification filled out, a sentence complete in every respect, expresses a thought. | |
From: Gottlob Frege (The Thought: a Logical Enquiry [1918], p.343(76)) | |
A reaction: I take the 'every respect' to include the avoidance of ambiguity, and some sort of perspicacious reference for the terms. I wish philosophers would focus on the thoughts in their subject, and not nit-pick about the sentences. Does he mean 'utterances'? |