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All the ideas for 'Mahaprajnaparamitashastra', 'Logical Pluralism' and 'What is a Law of Nature?'

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59 ideas

1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
If you know what it is, investigation is pointless. If you don't, investigation is impossible [Armstrong]
     Full Idea: Paradox of Analysis:if we ask what sort of thing an X is, then either we know what an X is or we do not. If we know then there is no need to ask the question. If we do not know then there is no way to begin the investigation. It's pointless or impossible
     From: David M. Armstrong (What is a Law of Nature? [1983], 01.2)
     A reaction: [G.E. Moore is the source of this, somewhere] Plato worried that to get to know something you must already know it. Solving this requires the concept of a 'benign' circularity.
3. Truth / A. Truth Problems / 1. Truth
Some truths have true negations [Beall/Restall]
     Full Idea: Dialetheism is the view that some truths have true negations.
     From: JC Beall / G Restall (Logical Pluralism [2006], 7.4)
     A reaction: The important thing to remember is that they are truths. Thus 'Are you feeling happy?' might be answered 'Yes and no'.
3. Truth / B. Truthmakers / 5. What Makes Truths / b. Objects make truths
A truthmaker is an object which entails a sentence [Beall/Restall]
     Full Idea: The truthmaker thesis is that an object is a truthmaker for a sentence if and only if its existence entails the sentence.
     From: JC Beall / G Restall (Logical Pluralism [2006], 5.5.3)
     A reaction: The use of the word 'object' here is even odder than usual, and invites many questions. And the 'only if' seems peculiar, since all sorts of things can make a sentence true. 'There is someone in the house' for example.
4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
(∀x)(A v B) |- (∀x)A v (∃x)B) is valid in classical logic but invalid intuitionistically [Beall/Restall]
     Full Idea: The inference of 'distribution' (∀x)(A v B) |- (∀x)A v (∃x)B) is valid in classical logic but invalid intuitionistically. It is straightforward to construct a 'stage' at which the LHS is true but the RHS is not.
     From: JC Beall / G Restall (Logical Pluralism [2006], 6.1.2)
     A reaction: This seems to parallel the iterative notion in set theory, that you must construct your hierarchy. All part of the general 'constructivist' approach to things. Is some kind of mad platonism the only alternative?
4. Formal Logic / E. Nonclassical Logics / 5. Relevant Logic
Excluded middle must be true for some situation, not for all situations [Beall/Restall]
     Full Idea: Relevant logic endorses excluded middle, ..but says instances of the law may fail. Bv¬B is true in every situation that settles the matter of B. It is necessary that there is some such situation.
     From: JC Beall / G Restall (Logical Pluralism [2006], 5.2)
     A reaction: See next idea for the unusual view of necessity on which this rests. It seems easier to assert something about all situations than just about 'some' situation.
It's 'relevantly' valid if all those situations make it true [Beall/Restall]
     Full Idea: The argument from P to A is 'relevantly' valid if and only if, for every situation in which each premise in P is true, so is A.
     From: JC Beall / G Restall (Logical Pluralism [2006], 5.2)
     A reaction: I like the idea that proper inference should have an element of relevance to it. A falsehood may allow all sorts of things, without actually implying them. 'Situations' sound promising here.
Relevant logic does not abandon classical logic [Beall/Restall]
     Full Idea: We have not abandoned classical logic in our acceptance of relevant logic.
     From: JC Beall / G Restall (Logical Pluralism [2006], 5.4)
     A reaction: It appears that classical logic is straightforwardly accepted, but there is a difference of opinion over when it is applicable.
Relevant consequence says invalidity is the conclusion not being 'in' the premises [Beall/Restall]
     Full Idea: Relevant consequence says the conclusion of a relevantly invalid argument is not 'carried in' the premises - it does not follow from the premises.
     From: JC Beall / G Restall (Logical Pluralism [2006], 5.3.3)
     A reaction: I find this appealing. It need not invalidate classical logic. It is just a tougher criterion which is introduced when you want to do 'proper' reasoning, instead of just playing games with formal systems.
A doesn't imply A - that would be circular [Beall/Restall]
     Full Idea: We could reject the inference from A to itself (on grounds of circularity).
     From: JC Beall / G Restall (Logical Pluralism [2006], 8)
     A reaction: [Martin-Meyer System] 'It's raining today'. 'Are you implying that it is raining today?' 'No, I'm SAYING it's raining today'. Logicians don't seem to understand the word 'implication'. Logic should capture how we reason. Nice proposal.
Relevant logic may reject transitivity [Beall/Restall]
     Full Idea: Some relevant logics reject transitivity, but we defend the classical view.
     From: JC Beall / G Restall (Logical Pluralism [2006], 8)
     A reaction: [they cite Neil Tennant for this view] To reject transitivity (A?B ? B?C ? A?C) certainly seems a long way from classical logic. But in everyday inference Tennant's idea seems good. The first premise may be irrelevant to the final conclusion.
4. Formal Logic / E. Nonclassical Logics / 6. Free Logic
Free logic terms aren't existential; classical is non-empty, with referring names [Beall/Restall]
     Full Idea: A logic is 'free' to the degree it refrains from existential import of its singular and general terms. Classical logic must have non-empty domain, and each name must denote in the domain.
     From: JC Beall / G Restall (Logical Pluralism [2006], 7.1)
     A reaction: My intuition is that logic should have no ontology at all, so I like the sound of 'free' logic. We can't say 'Pegasus does not exist', and then reason about Pegasus just like any other horse.
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Logic studies consequence; logical truths are consequences of everything, or nothing [Beall/Restall]
     Full Idea: Nowadays we think of the consequence relation itself as the primary subject of logic, and view logical truths as degenerate instances of this relation. Logical truths follow from any set of assumptions, or from no assumptions at all.
     From: JC Beall / G Restall (Logical Pluralism [2006], 2.2)
     A reaction: This seems exactly right; the alternative is the study of necessities, but that may not involve logic.
Syllogisms are only logic when they use variables, and not concrete terms [Beall/Restall]
     Full Idea: According to the Peripatetics (Aristotelians), only syllogistic laws stated in variables belong to logic, and not their applications to concrete terms.
     From: JC Beall / G Restall (Logical Pluralism [2006], 2.5)
     A reaction: [from Lukasiewicz] Seems wrong. I take it there are logical relations between concrete things, and the variables are merely used to describe these relations. Variables lack the internal powers to drive logical necessities. Variables lack essence!
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
The view of logic as knowing a body of truths looks out-of-date [Beall/Restall]
     Full Idea: Through much of the 20th century the conception of logic was inherited from Frege and Russell, as knowledge of a body of logical truths, as arithmetic or geometry was a knowledge of truths. This is odd, and a historical anomaly.
     From: JC Beall / G Restall (Logical Pluralism [2006], 2.2)
     A reaction: Interesting. I have always taken this idea to be false. I presume logic has minimal subject matter and truths, and preferably none at all.
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
Logic studies arguments, not formal languages; this involves interpretations [Beall/Restall]
     Full Idea: Logic does not study formal languages for their own sake, which is formal grammar. Logic evaluates arguments, and primarily considers formal languages as interpreted.
     From: JC Beall / G Restall (Logical Pluralism [2006], 2.1)
     A reaction: Hodges seems to think logic just studies formal languages. The current idea strikes me as a much more sensible view.
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
The model theory of classical predicate logic is mathematics [Beall/Restall]
     Full Idea: The model theory of classical predicate logic is mathematics if anything is.
     From: JC Beall / G Restall (Logical Pluralism [2006], 4.2.1)
     A reaction: This is an interesting contrast to the claim of logicism, that mathematics reduces to logic. This idea explains why students of logic are surprised to find themselves involved in mathematics.
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
There are several different consequence relations [Beall/Restall]
     Full Idea: We are pluralists about logical consequence because we take there to be a number of different consequence relations, each reflecting different precisifications of the pre-theoretic notion of deductive logical consequence.
     From: JC Beall / G Restall (Logical Pluralism [2006], 8)
     A reaction: I don't see how you avoid the slippery slope that leads to daft logical rules like Prior's 'tonk' (from which you can infer anything you like). I say that nature imposes logical conquence on us - but don't ask me to prove it.
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
A sentence follows from others if they always model it [Beall/Restall]
     Full Idea: The sentence X follows logically from the sentences of the class K if and only if every model of the class K is also a model of the sentence X.
     From: JC Beall / G Restall (Logical Pluralism [2006], 3.2)
     A reaction: This why the symbol |= is often referred to as 'models'.
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truth is much more important if mathematics rests on it, as logicism claims [Beall/Restall]
     Full Idea: If mathematical truth reduces to logical truth then it is important what counts as logically true, …but if logicism is not a going concern, then the body of purely logical truths will be less interesting.
     From: JC Beall / G Restall (Logical Pluralism [2006], 2.2)
     A reaction: Logicism would only be one motivation for pursuing logical truths. Maybe my new 'Necessitism' will derive the Peano Axioms from broad necessary truths, rather than from logic.
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / d. The Preface paradox
Preface Paradox affirms and denies the conjunction of propositions in the book [Beall/Restall]
     Full Idea: The Paradox of the Preface is an apology, that you are committed to each proposition in the book, but admit that collectively they probably contain a mistake. There is a contradiction, of affirming and denying the conjunction of propositions.
     From: JC Beall / G Restall (Logical Pluralism [2006], 2.4)
     A reaction: This seems similar to the Lottery Paradox - its inverse perhaps. Affirm all and then deny one, or deny all and then affirm one?
7. Existence / D. Theories of Reality / 8. Facts / b. Types of fact
Negative facts are supervenient on positive facts, suggesting they are positive facts [Armstrong]
     Full Idea: Negative facts appear to be supervenient upon the positive facts, which suggests that they are nothing more than the positive facts.
     From: David M. Armstrong (What is a Law of Nature? [1983], 10.3)
8. Modes of Existence / A. Relations / 4. Formal Relations / a. Types of relation
Nothing is genuinely related to itself [Armstrong]
     Full Idea: I believe that nothing is genuinely related to itself.
     From: David M. Armstrong (What is a Law of Nature? [1983], 10.7)
8. Modes of Existence / B. Properties / 1. Nature of Properties
All instances of some property are strictly identical [Armstrong]
     Full Idea: A property ...is something which is strictly identical, strictly the same, in all its different instances.
     From: David M. Armstrong (What is a Law of Nature? [1983], 06.2)
     A reaction: Some is gravitation one property, or an infinity of properties, for each of its values? What is the same between objects of different mass. I sort of believe in all the masses, but I'm not sure what 'mass' is. Abstraction, say I.
8. Modes of Existence / B. Properties / 6. Categorical Properties
Armstrong holds that all basic properties are categorical [Armstrong, by Ellis]
     Full Idea: I am against Armstrong's strong categoricalism, that is, the thesis that all basic properties are categorical.
     From: report of David M. Armstrong (What is a Law of Nature? [1983]) by Brian Ellis - The Metaphysics of Scientific Realism 3
     A reaction: I certainly agree with this, as I cannot see where the power would come from to get the whole thing off the ground. Armstrong depends on universals to necessitate what happens, which I find very peculiar.
8. Modes of Existence / C. Powers and Dispositions / 7. Against Powers
Actualism means that ontology cannot contain what is merely physically possible [Armstrong]
     Full Idea: Actualism ...debars us from admitting into our ontology the merely possible, not only the merely logically possible, but also the merely physically possible.
     From: David M. Armstrong (What is a Law of Nature? [1983], 01.3)
     A reaction: This is the big metaphysical question for fans (like myself) of 'powers' in nature. Armstrong declares himself an Actualist. I take it as obvious that the actual world contains powers, but how are we to characterise them?
Dispositions exist, but their truth-makers are actual or categorical properties [Armstrong]
     Full Idea: It is not denied that statements attributing dispositions and/or powers to objects are often true. But the truth-makers or ontological ground for such statements must always be found in the actual, or categorical, properties of the objects involved.
     From: David M. Armstrong (What is a Law of Nature? [1983], 01.3)
     A reaction: This is the big debate in the topic of powers. I love powers, but you always think there must be 'something' which has the power. Could reality entirely consist of powers? See Fetzer.
If everything is powers there is a vicious regress, as powers are defined by more powers [Armstrong]
     Full Idea: I believe reducing all universals to powers is involved in vicious regress. The power is what it is by the sort of actualisations it gives rise to in suitable sorts of circumstances. But they themselves can be nothing but powers...
     From: David M. Armstrong (What is a Law of Nature? [1983], 08.3)
     A reaction: [compressed wording] I don't see this problem. Anything postulated as fundamental is going to be baffling. Why are categorical properties superior to powers? Postulate basic powers (or basic empowered stuff), then build up.
8. Modes of Existence / D. Universals / 1. Universals
Universals are just the repeatable features of a world [Armstrong]
     Full Idea: Universals can be brought into the spatio-temporal world, becoming simply the repeatable features of that world.
     From: David M. Armstrong (What is a Law of Nature? [1983], 06.2)
     A reaction: I wish Armstrong wouldn't use the word 'universal', which has so much historical baggage. The world obviously has repeatable features, but does that mean that our ontology must include things called 'features'? Hm.
8. Modes of Existence / D. Universals / 2. Need for Universals
Realist regularity theories of laws need universals, to pick out the same phenomena [Armstrong]
     Full Idea: A Realistic version of a Regularity theory of laws will have to postulate universals. How else will it be possible to say that the different instances of a certain uniformity are all instances of objectively the same phenomenon?
     From: David M. Armstrong (What is a Law of Nature? [1983], 02.4)
     A reaction: I disagree. We may (or may not) need properties, but they can be have a range. We just need stable language. We use one word 'red', even when the shade of redness varies. Non-realists presumably refer to sense-data.
8. Modes of Existence / D. Universals / 3. Instantiated Universals
Past, present and future must be equally real if universals are instantiated [Armstrong]
     Full Idea: Past, present and future I take to be all and equally real. A universal need not be instantiated now.
     From: David M. Armstrong (What is a Law of Nature? [1983], 06.2)
     A reaction: This is the price you must pay for saying that you only believe in universals which are instantiated.
Universals are abstractions from their particular instances [Armstrong, by Lewis]
     Full Idea: Armstrong takes universals generally, and structural universals along with the rest, to be abstractions from their particular instances.
     From: report of David M. Armstrong (What is a Law of Nature? [1983], p.83-4) by David Lewis - Against Structural Universals 'The pictorial'
     A reaction: To me, 'abstracted' implies a process of human psychology, a way of thinking about the instances. I don't see how there can be an 'abstracted' relation which is a part of the external world. That makes his laws of nature human creations.
Universals are abstractions from states of affairs [Armstrong]
     Full Idea: Universals are abstractions from states of affairs.
     From: David M. Armstrong (What is a Law of Nature? [1983], 7)
     A reaction: I'm getting confused about Armstrong's commitments. He bases his whole theory on the existence of universals (repeatable features), but now says those are 'abstracted' from something else. Abstracted by us?
9. Objects / A. Existence of Objects / 5. Individuation / b. Individuation by properties
It is likely that particulars can be individuated by unique conjunctions of properties [Armstrong]
     Full Idea: For each particular it is likely that there exists at least one individuating conjunction of properties, that is, a conjunction of properties such that the particular instantiates this conjunction and nothing else does.
     From: David M. Armstrong (What is a Law of Nature? [1983], 02.3)
     A reaction: Armstrong commits to a famous Leibniz view, but I don't see his grounds for it. There is nothing incoherent about nature churning out perfect replicas of things, such as quarks and electrons. Would we care if two pens were perfectly identical?
9. Objects / F. Identity among Objects / 5. Self-Identity
The identity of a thing with itself can be ruled out as a pseudo-property [Armstrong]
     Full Idea: There is reason to rule out as pseudo-properties such things as the identity of a thing with itself.
     From: David M. Armstrong (What is a Law of Nature? [1983], 06.2)
     A reaction: Good on you, David.
10. Modality / A. Necessity / 3. Types of Necessity
Relevant necessity is always true for some situation (not all situations) [Beall/Restall]
     Full Idea: In relevant logic, the necessary truths are not those which are true in every situation; rather, they are those for which it is necessary that there is a situation making them true.
     From: JC Beall / G Restall (Logical Pluralism [2006], 5.2)
     A reaction: This seems to rest on the truthmaker view of such things, which I find quite attractive (despite Merricks's assault). Always ask what is making some truth necessary. This leads you to essences.
10. Modality / B. Possibility / 5. Contingency
The necessary/contingent distinction may need to recognise possibilities as real [Armstrong]
     Full Idea: It may be that the necessary/contingent distinction is tied to a metaphysics which recognises possibility as a real something wider than actuality.
     From: David M. Armstrong (What is a Law of Nature? [1983], 11.2)
     A reaction: Armstrong responds by trying to give an account of possibility in terms of 'combinations' from actuality. I think powers offer a much better strategy.
14. Science / C. Induction / 3. Limits of Induction
Induction aims at 'all Fs', but abduction aims at hidden or theoretical entities [Armstrong]
     Full Idea: Many philosophers of science have distinguished between 'simple induction' - the argument from observed Fs to all Fs - and the argument to hidden or theoretical entities (Peirce's 'abduction').
     From: David M. Armstrong (What is a Law of Nature? [1983], 06.7)
     A reaction: 'Abduction' is (roughly) the same is inference to the best explanation, of which I am a great fan.
14. Science / C. Induction / 5. Paradoxes of Induction / a. Grue problem
Science suggests that the predicate 'grue' is not a genuine single universal [Armstrong]
     Full Idea: It is plausible to say, on the basis of total science, that 'grue' is a predicate to which no genuine, that is, unitary, universal corresponds.
     From: David M. Armstrong (What is a Law of Nature? [1983], 06.7)
Unlike 'green', the 'grue' predicate involves a time and a change [Armstrong]
     Full Idea: The predicate 'grue' involves essential reference to a particular time, which 'green' does not. Also on the 'grue' hypothesis a change occurs in emeralds in a way that change does not occur on the 'green' hypothesis.
     From: David M. Armstrong (What is a Law of Nature? [1983], 04.5)
     A reaction: I'm inclined to think that comparing 'grue' with 'green' is a category mistake. 'Grue' is a behaviour. Armstrong says this is no objection, because Goodman's argument is purely formal.
14. Science / C. Induction / 5. Paradoxes of Induction / b. Raven paradox
The raven paradox has three disjuncts, confirmed by confirming any one of them [Armstrong]
     Full Idea: We could rewrite the generalisation as For all x, ((x is a raven and x is black) v (x is not a raven and x is black) v (x is not a raven and x is not black)). Instances of any one of the three disjuncts will do as confirmation.
     From: David M. Armstrong (What is a Law of Nature? [1983], 04.3)
     A reaction: A nice clarification.
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
A good reason for something (the smoke) is not an explanation of it (the fire) [Armstrong]
     Full Idea: A good reason for P is not necessarily an explanation of P. The presence of smoke is a good reason for thinking that fire is present. But it is not an explanation of the presence of fire.
     From: David M. Armstrong (What is a Law of Nature? [1983], 04.2)
     A reaction: This may be an equivocation on 'the reason for'. Smoke is a reason for thinking there is a fire, but no one would propose it as a reason for the fire. If the reason for the fire was arson, that would seem to explain it as well.
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
To explain observations by a regular law is to explain the observations by the observations [Armstrong]
     Full Idea: Given the Regularity theory, the explanatory element seems to vanish. For to say that all the observed Fs are Gs because all the Fs are Gs involves explaining the observations in terms of themselves.
     From: David M. Armstrong (What is a Law of Nature? [1983], 06.7)
     A reaction: This point cries out, it is so obvious (once spotted). Tigers are ferocious because all tigers are ferocious (see?).
14. Science / D. Explanation / 3. Best Explanation / a. Best explanation
Best explanations explain the most by means of the least [Armstrong]
     Full Idea: The best explanation explains the most by means of the least. Explanation unifies.
     From: David M. Armstrong (What is a Law of Nature? [1983], 05.4)
     A reaction: To get unification, you need to cite the diversity of what is explained, and not the mere quantity. The force of gravity unifies because it applies to such a diversity of things.
18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement
Judgement is always predicating a property of a subject [Beall/Restall]
     Full Idea: All judgement, for Kant, is essentially the predication of some property to some subject.
     From: JC Beall / G Restall (Logical Pluralism [2006], 2.5)
     A reaction: Presumably the denial of a predicate could be a judgement, or the affirmation of ambiguous predicates?
18. Thought / E. Abstraction / 1. Abstract Thought
Each subject has an appropriate level of abstraction [Armstrong]
     Full Idea: To every subject, its appropriate level of abstraction.
     From: David M. Armstrong (What is a Law of Nature? [1983], 01.2)
     A reaction: Mathematics rises through many levels of abstraction. Economics can be very concrete or very abstract. It think it is clearer to talk of being 'general', rather than 'abstract'.
19. Language / C. Assigning Meanings / 8. Possible Worlds Semantics
We can rest truth-conditions on situations, rather than on possible worlds [Beall/Restall]
     Full Idea: Situation semantics is a variation of the truth-conditional approach, taking the salient unit of analysis not to be the possible world, or some complete consistent index, but rather the more modest 'situation'.
     From: JC Beall / G Restall (Logical Pluralism [2006], 5.5.4)
     A reaction: When I read Davidson (and implicitly Frege) this is what I always assumed was meant. The idea that worlds are meant has crept in to give truth conditions for modal statements. Hence situation semantics must cover modality.
19. Language / D. Propositions / 1. Propositions
Propositions commit to content, and not to any way of spelling it out [Beall/Restall]
     Full Idea: Our talk of propositions expresses commitment to the general notion of content, without a commitment to any particular way of spelling this out.
     From: JC Beall / G Restall (Logical Pluralism [2006], 2.1)
     A reaction: As a fan of propositions I like this. It leaves open the question of whether the content belongs to the mind or the language. Animals entertain propositions, say I.
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
     Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom.
     From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88)
     A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate').
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / e. The One
We can't deduce the phenomena from the One [Armstrong]
     Full Idea: No serious and principled deduction of the phenomena from the One has ever been given, or looks likely to be given.
     From: David M. Armstrong (What is a Law of Nature? [1983], 11)
     A reaction: This seems to pick out the best reason why hardly anybody (apart from Jonathan Schaffer) takes the One seriously.
26. Natural Theory / C. Causation / 2. Types of cause
Absences might be effects, but surely not causes? [Armstrong]
     Full Idea: Lacks and absences could perhaps by thought of as effects, but we ought to be deeply reluctant to think of them as causes.
     From: David M. Armstrong (What is a Law of Nature? [1983], 10.4)
     A reaction: Odd. So we allow that they exist (as effects), but then deny that they have any causal powers?
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
A universe couldn't consist of mere laws [Armstrong]
     Full Idea: A universe could hardly consist of laws and nothing else.
     From: David M. Armstrong (What is a Law of Nature? [1983], 06.4)
     A reaction: Hm. Discuss. How does a universe come into existence, if there are no laws to guide its creation?
Science depends on laws of nature to study unobserved times and spaces [Armstrong]
     Full Idea: The scientist trying to establish the geography and history of the unobserved portion of the universe must depend upon what he takes to be the laws of the universe.
     From: David M. Armstrong (What is a Law of Nature? [1983], 01.1)
     A reaction: This does seem to be the prime reason why we wish to invoke 'laws', but we could just as well say that we have to rely on induction. Spot patterns, then expect more of the same. Spot necessities? Mathematics is very valuable here, of course.
26. Natural Theory / D. Laws of Nature / 2. Types of Laws
Oaken conditional laws, Iron universal laws, and Steel necessary laws [Armstrong, by PG]
     Full Idea: Three degress of law: 1) 'Oaken laws' where all Fs that aren't Hs are Gs; 2) 'Iron' laws where all Fs are Gs; and 3) 'Steel' laws where all Fs must be Gs.
     From: report of David M. Armstrong (What is a Law of Nature? [1983], 10.4) by PG - Db (ideas)
     A reaction: [My summary of Armstrong's distinction] One response is to say that all laws are actually Oaken - see Mumfor and Mumford/Lill Anjum. It's all ceteris paribus.
26. Natural Theory / D. Laws of Nature / 3. Laws and Generalities
Newton's First Law refers to bodies not acted upon by a force, but there may be no such body [Armstrong]
     Full Idea: Newton's First Law of Motion tells us what happens to a body which is not acted upon by a force. Yet it may be that the antecedent of the law is never instantiated. It may be that every body that there is, is acted upon by some force.
     From: David M. Armstrong (What is a Law of Nature? [1983], 02.7)
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
Regularities are lawful if a second-order universal unites two first-order universals [Armstrong, by Lewis]
     Full Idea: Armstrong's theory holds that what makes certain regularities lawful are second-order states of affairs N(F,G) in which the two ordinary first-order universals F and G are related by a certain dyadic second-order universal N.
     From: report of David M. Armstrong (What is a Law of Nature? [1983]) by David Lewis - New work for a theory of universals 'Laws and C'
     A reaction: [see Lewis's footnote] I take the view (from Shoemaker and Ellis) that laws of nature are just plain regularities which arise from the hierarchy of natural kinds. We don't need a commitment to 'universals'.
A naive regularity view says if it never occurs then it is impossible [Armstrong]
     Full Idea: It is a Humean uniformity that no race of ravens is white-feathered. Hence, if the Naive Regularity analysis of law is correct, it is a law that no race of ravens is white-feathered, that is, such a race is physically impossible. A most unwelcome result.
     From: David M. Armstrong (What is a Law of Nature? [1983], 02.6)
     A reaction: Chapters 2-4 of Armstrong are a storming attack on the regularity view of laws of nature, and this idea is particularly nice. Laws must refer to what could happen, not what happens to happen.
26. Natural Theory / D. Laws of Nature / 5. Laws from Universals
The laws of nature link properties with properties [Armstrong]
     Full Idea: There is an utterly natural idea that the laws of nature link properties with properties.
     From: David M. Armstrong (What is a Law of Nature? [1983], 06.3)
     A reaction: Put it this way: given that properties are expressions of invariant powers, the interaction of two properties will (ceteris paribus) be invariant, and laws are just invariances in natural behaviour.
Rather than take necessitation between universals as primitive, just make laws primitive [Maudlin on Armstrong]
     Full Idea: My own view is simple: the laws of nature ought to be accepted as ontologically primitive. …They are preferable in point of familiarity to such necessitation relations between universals.
     From: comment on David M. Armstrong (What is a Law of Nature? [1983]) by Tim Maudlin - The Metaphysics within Physics 1.4
     A reaction: I think you make natures of things primitive, and reduce laws to regularities and universals to resemblances. Job done. Natures are even more 'familiar' as primitives than laws are.
Armstrong has an unclear notion of contingent necessitation, which can't necessitate anything [Bird on Armstrong]
     Full Idea: The two criticisms levelled against Armstrong are that it is unclear what his relation of contingent necessitation is, and that it is unclear how it is able to necessitate anything.
     From: comment on David M. Armstrong (What is a Law of Nature? [1983]) by Alexander Bird - Nature's Metaphysics 3.1.2
     A reaction: I suppose someone has to explore the middle ground between the mere contingencies of Humean regularities and the strong necessities of scientific essentialism. The area doesn't, however, look promising.