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All the ideas for 'Ways of Worldmaking', 'Modal Logic within Counterfactual Logic' and 'Truth'

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23 ideas

1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Without words or other symbols, we have no world [Goodman]
     Full Idea: We can have words without a world but no world without words or other symbols.
     From: Nelson Goodman (Ways of Worldmaking [1978], 1.3)
     A reaction: Goodman seems to have a particularly extreme version of the commitment to philosophy as linguistic. Non-human animals have no world, it seems.
3. Truth / A. Truth Problems / 5. Truth Bearers
Truth is irrelevant if no statements are involved [Goodman]
     Full Idea: Truth pertains solely to what is said ...For nonverbal versions and even for verbal versions without statements, truth is irrelevant.
     From: Nelson Goodman (Ways of Worldmaking [1978], 1.5)
     A reaction: Goodman is a philosopher of language (like Dummett), but I am a philosopher of thought (like Evans). The test, for me, is whether truth is applicable to the thought of non-human animals. I take it to be obvious that it is applicable.
3. Truth / F. Semantic Truth / 1. Tarski's Truth / a. Tarski's truth definition
Truth rests on Elimination ('A' is true → A) and Introduction (A → 'A' is true) [Gupta]
     Full Idea: The basic principles governing truth are Truth Elimination (sentence A follows from ''A' is true') and the converse Truth Introduction (''A' is true' follows from A), which combine into Tarski's T-schema - 'A' is true if and only if A.
     From: Anil Gupta (Truth [2001], 5.1)
     A reaction: Introduction and Elimination rules are the basic components of natural deduction systems, so 'true' now works in the same way as 'and', 'or' etc. This is the logician's route into truth.
3. Truth / F. Semantic Truth / 2. Semantic Truth
A weakened classical language can contain its own truth predicate [Gupta]
     Full Idea: If a classical language is expressively weakened - for example, by dispensing with negation - then it can contain its own truth predicate.
     From: Anil Gupta (Truth [2001], 5.2)
     A reaction: Thus the Tarskian requirement to move to a metalanguage for truth is only a requirement of a reasonably strong language. Gupta uses this to criticise theories that dispense with the metalanguage.
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5
In S5 matters of possibility and necessity are non-contingent [Williamson]
     Full Idea: In system S5 matters of possibility and necessity are always non-contingent.
     From: Timothy Williamson (Modal Logic within Counterfactual Logic [2010], 3)
     A reaction: This will be because if something is possible in one world (because it can be seen to be true in some possible world) it will be possible for all worlds (since they can all see that world in S5).
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
The Liar reappears, even if one insists on propositions instead of sentences [Gupta]
     Full Idea: There is the idea that the Liar paradox is solved simply by noting that truth is a property of propositions (not of sentences), and the Liar sentence does not express a proposition. But we then say 'I am not now expressing a true proposition'!
     From: Anil Gupta (Truth [2001], 5.1)
     A reaction: Disappointed to learn this, since I think focusing on propositions (which are unambiguous) rather than sentences solves a huge number of philosophical problems.
Strengthened Liar: either this sentence is neither-true-nor-false, or it is not true [Gupta]
     Full Idea: An example of the Strengthened Liar is the following statement SL: 'Either SL is neither-true-nor-false or it is not true'. This raises a serious problem for any theory that assesses the paradoxes to be neither true nor false.
     From: Anil Gupta (Truth [2001], 5.4.2)
     A reaction: If the sentence is either true or false it reduces to the ordinary Liar. If it is neither true nor false, then it is true.
7. Existence / C. Structure of Existence / 4. Ontological Dependence
Being primitive or prior always depends on a constructional system [Goodman]
     Full Idea: Nothing is primitive or derivationally prior to anything apart from a constructional system.
     From: Nelson Goodman (Ways of Worldmaking [1978], 1.4c)
     A reaction: Something may be primitive not just because we can't be bothered to analyse it any further, but because even God couldn't analyse it. Maybe.
7. Existence / C. Structure of Existence / 5. Supervenience / d. Humean supervenience
We don't recognise patterns - we invent them [Goodman]
     Full Idea: Recognising patterns is very much a matter of inventing or imposing them.
     From: Nelson Goodman (Ways of Worldmaking [1978], 1.7)
     A reaction: I take this to be false.
7. Existence / D. Theories of Reality / 3. Reality
Reality is largely a matter of habit [Goodman]
     Full Idea: Reality in a world, like realism in a picture, is largely a matter of habit.
     From: Nelson Goodman (Ways of Worldmaking [1978], 1.6)
     A reaction: I'm a robust realist, me, but I sort of see what he means. We become steeped in unspoken conventions about how we take our world to be, and filter out anything that conflicts with it.
7. Existence / D. Theories of Reality / 4. Anti-realism
We build our world, and ignore anything that won't fit [Goodman]
     Full Idea: We dismiss as illusory or negligible what cannot be fitted into the architecture of the world we are building.
     From: Nelson Goodman (Ways of Worldmaking [1978], 1.4d)
     A reaction: I'm trying to think of an example of this, but can't. Maybe poor people are invisible to the rich?
7. Existence / E. Categories / 5. Category Anti-Realism
A world can be full of variety or not, depending on how we sort it [Goodman]
     Full Idea: A world may be unmanageably heterogeneous or unbearably monotonous according to how events are sorted into kinds.
     From: Nelson Goodman (Ways of Worldmaking [1978], 1.4a)
     A reaction: We might expect this from the man who invented 'grue', which allows you to classify things that change colour with things that don't. Could you describe a bird as 'might have been a fish', and classify it with fish? ('Projectible'?)
9. Objects / F. Identity among Objects / 3. Relative Identity
Things can only be judged the 'same' by citing some respect of sameness [Goodman]
     Full Idea: Identification rests upon organization into entities and kinds. The response to the question 'Same or not the same?' must always be 'Same what?'. ...Identity or constancy in a world is identity with respect to what is within that world as organised.
     From: Nelson Goodman (Ways of Worldmaking [1978], 1.4a)
     A reaction: And the gist of his book is that 'organised' is done by us, not by the world. He seems to be committed to the full Geachean relative identity, rather than the mere Wigginsian relative individuation. An unfashionable view!
10. Modality / A. Necessity / 1. Types of Modality
Necessity is counterfactually implied by its negation; possibility does not counterfactually imply its negation [Williamson]
     Full Idea: Modal thinking is logically equivalent to a type of counterfactual thinking. ...The necessary is that which is counterfactually implied by its own negation; the possible is that which does not counterfactually imply its own negation.
     From: Timothy Williamson (Modal Logic within Counterfactual Logic [2010], 1)
     A reaction: I really like this, because it builds modality on ordinary imaginative thinking. He says you just need to grasp counterfactuals, and also negation and absurdity, and you can then understand necessity and possibility. We can all do that.
10. Modality / B. Possibility / 8. Conditionals / a. Conditionals
Strict conditionals imply counterfactual conditionals: □(A⊃B)⊃(A□→B) [Williamson]
     Full Idea: The strict conditional implies the counterfactual conditional: □(A⊃B) ⊃ (A□→B) - suppose that A would not have held without B holding too; then if A had held, B would also have held.
     From: Timothy Williamson (Modal Logic within Counterfactual Logic [2010], 1)
     A reaction: [He then adds a reading of his formula in terms of possible worlds] This sounds rather close to modus ponens. If A implies B, and A is actually the case, what have you got? B!
10. Modality / B. Possibility / 9. Counterfactuals
Counterfactual conditionals transmit possibility: (A□→B)⊃(◊A⊃◊B) [Williamson]
     Full Idea: The counterfactual conditional transmits possibility: (A□→B) ⊃ (◊A⊃◊B). Suppose that if A had held, B would also have held; the if it is possible for A to hold, it is also possible for B to hold.
     From: Timothy Williamson (Modal Logic within Counterfactual Logic [2010], 1)
10. Modality / C. Sources of Modality / 1. Sources of Necessity
Rather than define counterfactuals using necessity, maybe necessity is a special case of counterfactuals [Williamson, by Hale/Hoffmann,A]
     Full Idea: Instead of regarding counterfactuals as conditionals restricted to a range of possible worlds, we can define the necessity operator by means of counterfactuals. Metaphysical necessity is a special case of ordinary counterfactual thinking.
     From: report of Timothy Williamson (Modal Logic within Counterfactual Logic [2010]) by Bob Hale/ Aviv Hoffmann - Introduction to 'Modality' 2
     A reaction: [compressed] I very much like Williamson's approach, of basing these things on the ordinary way that ordinary people think. To me it is a welcome inclusion of psychology into metaphysics, which has been out in the cold since Frege.
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
Discovery is often just finding a fit, like a jigsaw puzzle [Goodman]
     Full Idea: Discovery often amounts, as when I place a piece in a jigsaw puzzle, not to arrival at a proposition for declaration or defense, but to finding a fit.
     From: Nelson Goodman (Ways of Worldmaking [1978], 1.7)
     A reaction: I find Goodman's views here pretty alien, but I like this bit. Coherence really rocks.
14. Science / B. Scientific Theories / 3. Instrumentalism
Users of digital thermometers recognise no temperatures in the gaps [Goodman]
     Full Idea: To use a digital thermometer with readings in tenths of a degree is to recognise no temperature as lying between 90 and 90.1 degrees.
     From: Nelson Goodman (Ways of Worldmaking [1978], 1.4d)
     A reaction: This appears to be nonsense, treating users of digital thermometers as if they were stupid. No one thinks temperatures go up and down in quantum leaps. We all know there is a gap between instrument and world. (Very American, I'm thinking!)
14. Science / B. Scientific Theories / 5. Commensurability
We lack frames of reference to transform physics, biology and psychology into one another [Goodman]
     Full Idea: We have no neat frames of reference, no ready rules for transforming physics, biology and psychology into one another.
     From: Nelson Goodman (Ways of Worldmaking [1978], 1.2)
14. Science / C. Induction / 5. Paradoxes of Induction / a. Grue problem
Grue and green won't be in the same world, as that would block induction entirely [Goodman]
     Full Idea: Grue cannot be a relevant kind for induction in the same world as green, for that would preclude some of the decisions, right or wrong, that constitute inductive inference.
     From: Nelson Goodman (Ways of Worldmaking [1978], 1.4b)
     A reaction: This may make 'grue' less mad than I thought it was. I always assume we are slicing the world as 'green, blue and grue'. I still say 'green' is a basic predicate of experience, but 'grue' is amenable to analysis.
15. Nature of Minds / C. Capacities of Minds / 2. Imagination
Imagination is important, in evaluating possibility and necessity, via counterfactuals [Williamson]
     Full Idea: Imagination can be made to look cognitively worthless. Once we recall its fallible but vital role in evaluating counterfactual conditionals, we should be more open to the idea that it plays such a role in evaluating claims of possibility and necessity.
     From: Timothy Williamson (Modal Logic within Counterfactual Logic [2010], 6)
     A reaction: I take this to be a really important idea, because it establishes the importance of imagination within the formal framework of modern analytic philosopher (rather than in the whimsy of poets and dreamers).
26. Natural Theory / A. Speculations on Nature / 1. Nature
If the world is one it has many aspects, and if there are many worlds they will collect into one [Goodman]
     Full Idea: If there is but one world, it embraces a multiplicity of contrasting aspects; if there are many worlds, the collection of them all is one. One world may be taken as many, or many worlds taken as one; whether one or many depends on the way of taking.
     From: Nelson Goodman (Ways of Worldmaking [1978], 1.2)
     A reaction: He cites 'The Pluralistic Universe' by William James for this idea. The idea is that the distinction 'evaporates under analysis'. Parmenides seems to have thought that no features could be distinguished in the true One.