Combining Texts

All the ideas for 'Against Coherence', 'Zettel' and 'The Limits of Contingency'

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20 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
A philosopher is outside any community of ideas [Wittgenstein]
     Full Idea: The philosopher is not a citizen of any community of ideas; that is what makes him a philosopher.
     From: Ludwig Wittgenstein (Zettel [1950], 455)
     A reaction: A bit surprising from the man who gave us 'language games' and 'private language argument'.
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / c. Axiom of Pairing II
Pairing (with Extensionality) guarantees an infinity of sets, just from a single element [Rosen]
     Full Idea: In conjunction with Extensionality, Pairing entails that given a single non-set, infinitely many sets exist.
     From: Gideon Rosen (The Limits of Contingency [2006], 04)
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
'This sentence is false' sends us in a looping search for its proposition [Wittgenstein, by Fogelin]
     Full Idea: According to Wittgenstein, 'this sentence is false' sends us off on an endless, looping search for the proposition to be evaluated.
     From: report of Ludwig Wittgenstein (Zettel [1950], §691) by Robert Fogelin - Walking the Tightrope of Reason Ch.2
     A reaction: Fogelin quotes this as one possible strategy for dealing with the Liar Paradox. It doesn't sound like much of a solution to the paradox, merely an account of why it is so annoying. Wittgenstein's challenge is that the Cretan can't state his problem.
9. Objects / A. Existence of Objects / 4. Impossible objects
A Meinongian principle might say that there is an object for any modest class of properties [Rosen]
     Full Idea: Meinongian abstraction principles say that for any (suitably restricted) class of properties, there exists an abstract entity (arbitrary object, subsistent entity) that possesses just those properties.
     From: Gideon Rosen (The Limits of Contingency [2006], 04)
     A reaction: This is 'Meinongian' because there will be an object which is circular and square. The nub of the idea presumably resides in what is meant by 'restricted'. An object possessing every conceivable property is, I guess, a step too far.
10. Modality / A. Necessity / 5. Metaphysical Necessity
Metaphysical necessity is absolute and universal; metaphysical possibility is very tolerant [Rosen]
     Full Idea: If P is metaphysically necessary, then it is absolutely necessary, and necessary in every real (non-epistemic) sense; and if P is possible in any sense, then it's possible in the metaphysical sense.
     From: Gideon Rosen (The Limits of Contingency [2006], 02)
     A reaction: Rosen's shot at defining metaphysical necessity and possibility, and it looks pretty good to me. In my terms (drawing from Kit Fine) it is what is necessitated or permitted 'by everything'. So if it is necessitated by logic or nature, that's included.
'Metaphysical' modality is the one that makes the necessity or contingency of laws of nature interesting [Rosen]
     Full Idea: 'Metaphysical' modality is the sort of modality relative to which it is an interesting question whether the laws of nature are necessary or contingent.
     From: Gideon Rosen (The Limits of Contingency [2006], 02)
     A reaction: Being an essentialist here, I take it that the stuff of the universe necessitates the so-called 'laws'. The metaphysically interesting question is whether the stuff might have been different. Search me! A nice test of metaphysical modality though.
Sets, universals and aggregates may be metaphysically necessary in one sense, but not another [Rosen]
     Full Idea: It may be metaphysically necessary in one sense that sets or universals or mereological aggregates exist, while in another sense existence is always a contingent matter.
     From: Gideon Rosen (The Limits of Contingency [2006], 10)
     A reaction: This idea depends on Idea 18856 and 18857. Personally I only think mereological aggregates and sets exist when people decide that they exist, so I don't see how they could ever be necessary. I'm unconvinced about his two concepts.
Standard Metaphysical Necessity: P holds wherever the actual form of the world holds [Rosen]
     Full Idea: According to the Standard Conception of Metaphysical Necessity, P is metaphysically necessary when it holds in every possible world in which the laws of metaphysics (about the form or structure of the actual world) hold
     From: Gideon Rosen (The Limits of Contingency [2006], 10)
     A reaction: Rosen has a second meaning, in Idea 18856. He thinks it is crucial to see that there are two senses, because many things come out as metaphysically necessary on one concept, but contingent on the other. Interesting....
Non-Standard Metaphysical Necessity: when ¬P is incompatible with the nature of things [Rosen]
     Full Idea: According to the Non-Standard conception of Metaphysical Necessity, P is metaphysically necessary when its negation is logically incompatible with the nature of things.
     From: Gideon Rosen (The Limits of Contingency [2006], 10)
     A reaction: Rosen's new second meaning of the term. My immediate problem is with it resting on being 'logically' incompatible. Are squares 'logically' incompatible with circles? I like the idea that it rests on 'the nature of things'. (Psst! natures = essences)
10. Modality / A. Necessity / 6. Logical Necessity
Something may be necessary because of logic, but is that therefore a special sort of necessity? [Rosen]
     Full Idea: It is one thing to say that P is necessary in some generic sense because it is a truth of logic (true in all models of a language, perhaps). It is something else to say that P therefore enjoys a special sort of necessity.
     From: Gideon Rosen (The Limits of Contingency [2006], 02)
     A reaction: This encourages my thought that there is only one sort of necessity (what must be), and the variety comes from the different types of necessity makers (everything there could be, nature, duties, promises, logics, concepts...).
10. Modality / B. Possibility / 3. Combinatorial possibility
Combinatorial theories of possibility assume the principles of combination don't change across worlds [Rosen]
     Full Idea: Combinatorial theories of possibility take it for granted ....that possible worlds in general share a syntax, as it were, differing only in the constituents from which they are generated, or in the particular manner of their arrangements.
     From: Gideon Rosen (The Limits of Contingency [2006], 08)
     A reaction: For instance, it might assume that every world has 'objects', to which 'properties' and 'relations' can be attached, or to which 'functions' can apply.
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
A proposition is 'correctly' conceivable if an ominiscient being could conceive it [Rosen]
     Full Idea: To a first approximation, P is correctly conceivable iff it would be conceivable for a logically ominiscient being who was fully informed about the nature of things.
     From: Gideon Rosen (The Limits of Contingency [2006], 05)
     A reaction: Isn't the last bit covered by 'ominiscient'? Ah, I think the 'logically' only means they have a perfect grasp of what is consistent. This is to meet the standard problem, of ill-informed people 'conceiving' of things which are actually impossible.
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.
13. Knowledge Criteria / C. External Justification / 2. Causal Justification
Causes of beliefs are irrelevant to their contents [Wittgenstein]
     Full Idea: The causes of our belief in a proposition are indeed irrelevant to the question of what we believe.
     From: Ludwig Wittgenstein (Zettel [1950], i.437)
     A reaction: This should have nipped the causal theory of knowledge in the bud before it got started. Everyone has a different cause for their belief that 'it sometimes rains'. Cause is not justification.
26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory
The MRL view says laws are the theorems of the simplest and strongest account of the world [Rosen]
     Full Idea: According to the Mill-Ramsey-Lewis account of the laws of nature, a generalisation is a law just in case it is a theorem of every true account of the actual world that achieves the best overall balance of simplicity and strength.
     From: Gideon Rosen (The Limits of Contingency [2006], 08)
     A reaction: The obvious objection is that many of the theorems will be utterly trivial, and that is one thing that the laws of nature are not. Unless you are including 'metaphysical laws' about very very fundamental things, like objects, properties, relations.