Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'Against Coherence' and 'Abortion and the Doctrine of Double Effect'

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13 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
     Full Idea: In Parsons's demonstrative model of counting, '1' means the first, and counting says 'the first, the second, the third', where one is supposed to 'tag' each object exactly once, and report how many by converting the last ordinal into a cardinal.
     From: report of Charles Parsons (Frege's Theory of Numbers [1965]) by Richard G. Heck - Cardinality, Counting and Equinumerosity 3
     A reaction: This sounds good. Counting seems to rely on that fact that numbers can be both ordinals and cardinals. You don't 'convert' at the end, though, because all the way you mean 'this cardinality in this order'.
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
Incoherence may be more important for enquiry than coherence [Olsson]
     Full Idea: While coherence may lack the positive role many have assigned to it, ...incoherence plays an important negative role in our enquiries.
     From: Erik J. Olsson (Against Coherence [2005], 10.1)
     A reaction: [He cites Peirce as the main source for this idea] We can hardly by deeply impressed by incoherence if we have no sense of coherence. Incoherence is just one of many markers for theory failure. Missing the target, bad concepts...
Coherence is the capacity to answer objections [Olsson]
     Full Idea: According to Lehrer, coherence should be understood in terms of the capacity to answer objections.
     From: Erik J. Olsson (Against Coherence [2005], 9)
     A reaction: [Keith Lehrer 1990] We can connect this with the Greek requirement of being able to give an account [logos], which is the hallmark of understanding. I take coherence to be the best method of achieving understanding. Any understanding meets Lehrer's test.
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / c. Coherentism critique
Mere agreement of testimonies is not enough to make truth very likely [Olsson]
     Full Idea: Far from guaranteeing a high likelihood of truth by itself, testimonial agreement can apparently do so only if the circumstances are favourable as regards independence, prior probability, and individual credibility.
     From: Erik J. Olsson (Against Coherence [2005], 1)
     A reaction: This is Olson's main thesis. His targets are C.I.Lewis and Bonjour, who hoped that a mere consensus of evidence would increase verisimilitude. I don't see a problem for coherence in general, since his favourable circumstances are part of it.
Coherence is only needed if the information sources are not fully reliable [Olsson]
     Full Idea: An enquirer who is fortunate enough to have at his or her disposal fully reliable information sources has no use for coherence, the need for which arises only in the context of less than fully reliable informations sources.
     From: Erik J. Olsson (Against Coherence [2005], 2.6.2)
     A reaction: I take this to be entirely false. How do you assess reliability? 'I've seen it with my own eyes'. Why trust your eyes? In what visibility conditions do you begin to doubt your eyes? Why do rational people mistrust their intuitions?
A purely coherent theory cannot be true of the world without some contact with the world [Olsson]
     Full Idea: The Input Objection says a pure coherence theory would seem to allow that a system of beliefs be justified in spite of being utterly out of contact with the world it purports to describe, so long as it is, to a sufficient extent, coherent.
     From: Erik J. Olsson (Against Coherence [2005], 4.1)
     A reaction: Olson seems impressed by this objection, but I don't see how a system could be coherently about the world if it had no known contact with the world. Olson seems to ignore meta-coherence, which evaluates the status of the system being studied.
Extending a system makes it less probable, so extending coherence can't make it more probable [Olsson]
     Full Idea: Any non-trivial extension of a belief system is less probable than the original system, but there are extensions that are more coherent than the original system. Hence more coherence does not imply a higher probability.
     From: Erik J. Olsson (Against Coherence [2005], 6.4)
     A reaction: [Olson cites Klein and Warfield 1994; compressed] The example rightly says the extension could have high internal coherence, but not whether the extension is coherent with the system being extended.
20. Action / C. Motives for Action / 5. Action Dilemmas / b. Double Effect
A 'double effect' is a foreseen but not desired side-effect, which may be forgivable [Foot]
     Full Idea: 'Double effect' refers to action having an effect aimed at, and also one foreseen but in now way desired. The 'doctrine' is that it is sometimes permissible to bring about by oblique intention what one may not directly intend.
     From: Philippa Foot (Abortion and the Doctrine of Double Effect [1967], p.20)
     A reaction: Presumably this can only be justified by a trade-off. The unfortunate side effect must be rated as a price worth paying. If the side effect is not foreseen, that is presumably either understandable, or wickedly negligent. No clear rule is possible.
The doctrine of double effect can excuse an outcome because it wasn't directly intended [Foot]
     Full Idea: Supporters of double effect say that sometimes it makes a difference to the permissibility of an action involving harm to others that this harm, although foreseen, is not part of the agent's intention.
     From: Philippa Foot (Abortion and the Doctrine of Double Effect [1967], p.22)
     A reaction: The obvious major case is the direction of wartime bombing raids. Controversial, because how can someone foresee a side effect and yet claim to have no intention to cause it? Isn't it wickedly self-deluding?
Double effect says foreseeing you will kill someone is not the same as intending it [Foot]
     Full Idea: The doctrine of double effect offers us a way out [of the trolley problem], insisting that it is one thing to steer towards someone foreseeing that you will kill him, and another to aim at his death as part of your plan.
     From: Philippa Foot (Abortion and the Doctrine of Double Effect [1967], p.23)
     A reaction: [She has just created her famous Trolley Problem]. Utilitarians must constantly rely on the doctrine of double effect, as they calculate their trade-offs.
Without double effect, bad men can make us do evil by threatening something worse [Foot]
     Full Idea: Rejection of the doctrine of double effect puts us hopelessly in the power of bad men. Anyone who wants us to do something we think is wrong has only to threaten that otherwise he himself will do something we think worse.
     From: Philippa Foot (Abortion and the Doctrine of Double Effect [1967], p.25)
     A reaction: Her example is they will torture five if you don't torture one. Bernard Williams's famous Jim and the Indians is they will shoot twenty if you don't shoot one. Williams aims it at utilitarian calculations. Double effect is highly relevant.
Double effect seems to rely on a distinction between what we do and what we allow [Foot]
     Full Idea: The strength of the doctrine of double effect seems to lie in the distinction it makes between what we do (equated with direct intention) and what we allow (thought of as obliquely intended).
     From: Philippa Foot (Abortion and the Doctrine of Double Effect [1967], p.25)
     A reaction: She objects (nicely), saying her trolley driver 'does' the side-effect killing, and someone might 'allow' an obvious criminal death. There is also an intermediate class of 'brought about', where you set up a killing, but don't do it.
25. Social Practice / F. Life Issues / 3. Abortion
Abortion is puzzling because we do and don't want the unborn child to have rights [Foot]
     Full Idea: One reason why most of us feel puzzled about the problem of abortion is that we want, and do not want, to allow to the unborn child the rights that belong to adults and children.
     From: Philippa Foot (Abortion and the Doctrine of Double Effect [1967], p.19)
     A reaction: We also do and don't want children to have the same rights as adults. Rights should accrue with development and maturity, it seems. No one thinks sperm and egg have rights. Why stop at 'adult'? Superior adults deserve more rights!