Combining Texts

All the ideas for 'Individuals without Sortals', 'Wittgenstein's 'Tractatus Logico-Philosophicus'' and 'Change in View: Principles of Reasoning'

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26 ideas

2. Reason / A. Nature of Reason / 1. On Reason
It is a principle of reasoning not to clutter your mind with trivialities [Harman]
     Full Idea: I am assuming the following principle: Clutter Avoidance - in reasoning, one should not clutter one's mind with trivialities.
     From: Gilbert Harman (Change in View: Principles of Reasoning [1986], 2)
     A reaction: I like Harman's interest in the psychology of reasoning. In the world of Frege, it is taboo to talk about psychology.
The rules of reasoning are not the rules of logic [Harman]
     Full Idea: Rules of deduction are rules of deductive argument; they are not rules of inference or reasoning.
     From: Gilbert Harman (Change in View: Principles of Reasoning [1986], 1)
     A reaction: And I have often noticed that good philosophing reasoners and good logicians are frequently not the same people.
If there is a great cost to avoiding inconsistency, we learn to reason our way around it [Harman]
     Full Idea: We sometimes discover our views are inconsistent and do not know how to revise them in order to avoid inconsistency without great cost. The best response may be to keep the inconsistency and try to avoid inferences that exploit it.
     From: Gilbert Harman (Change in View: Principles of Reasoning [1986], 2)
     A reaction: Any decent philosopher should face this dilemma regularly. I assume non-philosophers don't compare the different compartments of their beliefs very much. Students of non-monotonic logics are trying to formalise such thinking.
Logic has little relevance to reasoning, except when logical conclusions are immediate [Harman]
     Full Idea: Although logic does not seem specially relevant to reasoning, immediate implication and immediate inconsistency do seem important for reasoning.
     From: Gilbert Harman (Change in View: Principles of Reasoning [1986], 2)
     A reaction: Ordinary thinkers can't possibly track complex logical implications, so we have obviously developed strategies for coping. I assume formal logic is contructed from the basic ingredients of the immediate and obvious implications, such as modus ponens.
2. Reason / A. Nature of Reason / 4. Aims of Reason
Implication just accumulates conclusions, but inference may also revise our views [Harman]
     Full Idea: Implication is cumulative, in a way that inference may not be. In argument one accumulates conclusions; things are always added, never subtracted. Reasoned revision, however, can subtract from one's view as well as add.
     From: Gilbert Harman (Change in View: Principles of Reasoning [1986], 1)
     A reaction: This has caught Harman's attention, I think (?), because he is looking for non-monotonic reasoning (i.e. revisable reasoning) within a classical framework. If revision is responding to evidence, the logic can remain conventional.
4. Formal Logic / A. Syllogistic Logic / 1. Aristotelian Logic
Aristotelian logic cannot express 'Everyone loves someone' [White,RM]
     Full Idea: There is no way within Aristotelian logic that you can give a proper expression for the logical form of such a proposition as 'Everyone loves someone'.
     From: Roger M. White (Wittgenstein's 'Tractatus Logico-Philosophicus' [2006], 1 'Frege')
     A reaction: This needs a combination of two different quantifiers.
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts
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'.
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.
7. Existence / B. Change in Existence / 4. Events / a. Nature of events
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.
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
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')
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
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?'
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.
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.
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.
9. Objects / B. Unity of Objects / 1. Unifying an Object / a. Intrinsic unification
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.
9. Objects / B. Unity of Objects / 3. Unity Problems / c. Statue and clay
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.
9. Objects / D. Essence of Objects / 5. Essence as Kind
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.
9. Objects / E. Objects over Time / 5. Temporal Parts
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')
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.
9. Objects / F. Identity among Objects / 1. Concept of Identity
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]
9. Objects / F. Identity among Objects / 3. Relative Identity
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')
10. Modality / B. Possibility / 6. Probability
The Gambler's Fallacy (ten blacks, so red is due) overemphasises the early part of a sequence [Harman]
     Full Idea: The Gambler's Fallacy says if black has come up ten times in a row, red must be highly probable next time. It overlooks how the impact of an initial run of one color can become more and more insignificant as the sequence gets longer.
     From: Gilbert Harman (Change in View: Principles of Reasoning [1986], 1)
     A reaction: At what point do you decide that the roulette wheel is fixed, rather than that you have fallen for the Gambler's Fallacy? Interestingly, standard induction points to the opposite conclusion. But then you have prior knowledge of the wheel.
High probability premises need not imply high probability conclusions [Harman]
     Full Idea: Propositions that are individually highly probable can have an immediate implication that is not. The fact that one can assign a high probability to P and also to 'if P then Q' is not sufficient reason to assign high probability to Q.
     From: Gilbert Harman (Change in View: Principles of Reasoning [1986], 3)
     A reaction: He cites Kyburg's Lottery Paradox. It is probable that there is a winning ticket, and that this ticket is not it. Thus it is NOT probable that I will win.
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
We strongly desire to believe what is true, even though logic does not require it [Harman]
     Full Idea: Moore's Paradox: one is strongly disposed not to believe both P and that one does not believe that P, while realising that these propositions are perfectly consistent with one another.
     From: Gilbert Harman (Change in View: Principles of Reasoning [1986], 2)
     A reaction: [Where in Moore?] A very nice example of a powerful principle of reasoning which can never be captured in logic.
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
In revision of belief, we need to keep track of justifications for foundations, but not for coherence [Harman]
     Full Idea: The key issue in belief revision is whether one needs to keep track of one's original justifications for beliefs. What I am calling the 'foundations' theory says yes; what I am calling the 'coherence' theory says no.
     From: Gilbert Harman (Change in View: Principles of Reasoning [1986], 4)
     A reaction: I favour coherence in all things epistemological, and this idea seems to match real life, where I am very confident of many beliefs of which I have forgotten the justification. Harman says coherentists need the justification only when they doubt a belief.
Coherence is intelligible connections, especially one element explaining another [Harman]
     Full Idea: Coherence in a view consists in connections of intelligibility among the elements of the view. Among other things these included explanatory connections, which hold when part of one's view makes it intelligible why some other part should be true.
     From: Gilbert Harman (Change in View: Principles of Reasoning [1986], 7)
     A reaction: Music to my ears. I call myself an 'explanatory empiricist', and embrace a coherence theory of justification. This is the framework within which philosophy should be practised. Harman is our founder, and Paul Thagard our guru.