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All the ideas for 'Axiomatic Theories of Truth (2005 ver)', 'How the Laws of Physics Lie' and 'Letters to Burcher De Volder'

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53 ideas

3. Truth / A. Truth Problems / 2. Defining Truth
Truth definitions don't produce a good theory, because they go beyond your current language [Halbach]
     Full Idea: It is far from clear that a definition of truth can lead to a philosophically satisfactory theory of truth. Tarski's theorem on the undefinability of the truth predicate needs resources beyond those of the language for which it is being defined.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1)
     A reaction: The idea is that you need a 'metalanguage' for the definition. If I say 'p' is a true sentence in language 'L', I am not making that observation from within language L. The dream is a theory confined to the object language.
3. Truth / F. Semantic Truth / 1. Tarski's Truth / c. Meta-language for truth
In semantic theories of truth, the predicate is in an object-language, and the definition in a metalanguage [Halbach]
     Full Idea: In semantic theories of truth (Tarski or Kripke), a truth predicate is defined for an object-language. This definition is carried out in a metalanguage, which is typically taken to include set theory or another strong theory or expressive language.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1)
     A reaction: Presumably the metalanguage includes set theory because that connects it with mathematics, and enables it to be formally rigorous. Tarski showed, in his undefinability theorem, that the meta-language must have increased resources.
3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth
Should axiomatic truth be 'conservative' - not proving anything apart from implications of the axioms? [Halbach]
     Full Idea: If truth is not explanatory, truth axioms should not allow proof of new theorems not involving the truth predicate. It is hence said that axiomatic truth should be 'conservative' - not implying further sentences beyond what the axioms can prove.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1.3)
     A reaction: [compressed]
If truth is defined it can be eliminated, whereas axiomatic truth has various commitments [Halbach]
     Full Idea: If truth can be explicitly defined, it can be eliminated, whereas an axiomatized notion of truth may bring all kinds of commitments.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1.3)
     A reaction: The general principle that anything which can be defined can be eliminated (in an abstract theory, presumably, not in nature!) raises interesting questions about how many true theories there are which are all equivalent to one another.
Axiomatic theories of truth need a weak logical framework, and not a strong metatheory [Halbach]
     Full Idea: Axiomatic theories of truth can be presented within very weak logical frameworks which require very few resources, and avoid the need for a strong metalanguage and metatheory.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1)
Instead of a truth definition, add a primitive truth predicate, and axioms for how it works [Halbach]
     Full Idea: The axiomatic approach does not presuppose that truth can be defined. Instead, a formal language is expanded by a new primitive predicate of truth, and axioms for that predicate are then laid down.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1)
     A reaction: Idea 15647 explains why Halbach thinks the definition route is no good.
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
Deflationists say truth merely serves to express infinite conjunctions [Halbach]
     Full Idea: According to many deflationists, truth serves merely the purpose of expressing infinite conjunctions.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1.3)
     A reaction: That is, it asserts sentences that are too numerous to express individually. It also seems, on a deflationist view, to serve for anaphoric reference to sentences, such as 'what she just said is true'.
4. Formal Logic / F. Set Theory ST / 1. Set Theory
To prove the consistency of set theory, we must go beyond set theory [Halbach]
     Full Idea: The consistency of set theory cannot be established without assumptions transcending set theory.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 2.1)
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
We can use truth instead of ontologically loaded second-order comprehension assumptions about properties [Halbach]
     Full Idea: The reduction of 2nd-order theories (of properties or sets) to axiomatic theories of truth may be conceived as a form of reductive nominalism, replacing existence assumptions (for comprehension axioms) by ontologically innocent truth assumptions.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1.1)
     A reaction: I like this very much, as weeding properties out of logic (without weeding them out of the world). So-called properties in logic are too abundant, so there is a misfit with their role in science.
5. Theory of Logic / E. Structures of Logic / 7. Predicates in Logic
Instead of saying x has a property, we can say a formula is true of x - as long as we have 'true' [Halbach]
     Full Idea: Quantification over (certain) properties can be mimicked in a language with a truth predicate by quantifying over formulas. Instead of saying that Tom has the property of being a poor philosopher, we can say 'x is a poor philosopher' is true of Tom.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1.1)
     A reaction: I love this, and think it is very important. He talks of 'mimicking' properties, but I see it as philosophers mistakenly attributing properties, when actually what they were doing is asserting truths involving certain predicates.
7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads
Monads are not extended, but have a kind of situation in extension [Leibniz]
     Full Idea: Even if monads are not extended, they nonetheless have a certain kind of situation in extension.
     From: Gottfried Leibniz (Letters to Burcher De Volder [1706], 1703.06.20), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 8
     A reaction: This is the kind of metaphysical mess you get into if you start from the wrong premisses (in this case, a dualism of the spiritual and the material). Later (Garber p.359) he says they are situated because they 'preside' over a mass.
Only monads are substances, and bodies are collections of them [Leibniz]
     Full Idea: A monad alone is a substance; a body is substances not a substance.
     From: Gottfried Leibniz (Letters to Burcher De Volder [1706], 1704.01.21), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 8
     A reaction: So how many monads in a drop of urine, as Voltaire bluntly wondered. I take the Cartesian dualism (without interaction) that ran through Leibniz's career to be the source of most of his metaphysical problems. In late career it went badly wrong.
7. Existence / D. Theories of Reality / 2. Realism
The division of nature into matter makes distinct appearances, and that presupposes substances [Leibniz]
     Full Idea: If there were no divisions of matter in nature, there would be no things that are different; just the mere possibility of things. It is the actual division into masses that really produces things that appear distinct, which presupposes simple substances.
     From: Gottfried Leibniz (Letters to Burcher De Volder [1706], 1704 or 1705)
     A reaction: This shows Leibniz to be a straightforward realist about the physical world, and certainly not an 'idealist', despite the mind-like character of monads. I take this to be an argument for reality from best explanation, which is all that's available.
The only indications of reality are agreement among phenomena, and their agreement with necessities [Leibniz]
     Full Idea: We don't have, nor should we hope for, any mark of reality in phenomena, but the fact that they agree with one another and with eternal truths.
     From: Gottfried Leibniz (Letters to Burcher De Volder [1706], 1706.01.19)
     A reaction: Elsewhere he says that divisions in appearance imply divisions in matter. Now he adds two further arguments in favour of realism, but admits that nothing conclusive is available. Quite right.
7. Existence / D. Theories of Reality / 3. Reality
Only unities have any reality [Leibniz]
     Full Idea: There is no reality in anything except the reality of unities.
     From: Gottfried Leibniz (Letters to Burcher De Volder [1706], 1704.06.30), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 9
     A reaction: This seems to leave indeterminate stuff like air and water with no reality, as nicely discussed by Henry Laycock. Do we just force unities on the world because that is the only way our minds can cope with it?
7. Existence / D. Theories of Reality / 10. Vagueness / b. Vagueness of reality
In actual things nothing is indefinite [Leibniz]
     Full Idea: In actual things nothing is indefinite.
     From: Gottfried Leibniz (Letters to Burcher De Volder [1706], 1706.01.19)
     A reaction: This seems to be the germ of the controversial modern view of Williamson, that vagueness is entirely epistemic, and that the facts of nature are entirely definite. Thus there is a tallest short giraffe, which I find a bit hard to grasp.
7. Existence / E. Categories / 4. Category Realism
Causality indicates which properties are real [Cartwright,N]
     Full Idea: Causality is a clue to what properties are real.
     From: Nancy Cartwright (How the Laws of Physics Lie [1983], 9.3)
     A reaction: An interesting variant on the Shoemaker proposal that properties actually are causal. I'm not sure that there is anything more to causality that the expression in action of properties, which I take to be powers. Structures are not properties.
8. Modes of Existence / A. Relations / 1. Nature of Relations
A man's distant wife dying is a real change in him [Leibniz]
     Full Idea: No one can become a widower in India because of the death of his wife in Europe unless a real change occurs in him.
     From: Gottfried Leibniz (Letters to Burcher De Volder [1706], GP ii 240), quoted by Richard T.W. Arthur - Leibniz 7 'Nominalist'
     A reaction: This is Leibniz heroically denying so-called 'Cambridge Change'. It is hard to see how a widower is changed if he has not yet heard the bad news. But his situation in life has changed. Compare eudaimonia, which you can lose without realising it.
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
A complete monad is a substance with primitive active and passive power [Leibniz]
     Full Idea: What I take to be the indivisible or complete monad is the substance endowed with primitive power, active and passive, like the 'I' or something similar.
     From: Gottfried Leibniz (Letters to Burcher De Volder [1706], 1703.06.20)
     A reaction: I love powers, so I really like this quotation. By this date even Garber thinks that he has more or less arrived at his mature view of monads. I used to think monads were mad, but I now think he is closing in on the right answer - sort of.
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
Derivate forces are in phenomena, but primitive forces are in the internal strivings of substances [Leibniz]
     Full Idea: I relegate derivative forces to the phenomena, but I think that it is clear that primitive forces can be nothing other than the internal strivings of simple substances.
     From: Gottfried Leibniz (Letters to Burcher De Volder [1706], 1705.01), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 8
     A reaction: I like 'internal strivings', which sounds to me like the Will to Power (Idea 7140). There seems to be an epistemological challenge in trying to disentangle the derivative forces from the primitive ones.
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
Thought terminates in force, rather than extension [Leibniz]
     Full Idea: I believe that our thought is completed and terminated more in the notion of the dynamic [i.e. force] than in that of extension.
     From: Gottfried Leibniz (Letters to Burcher De Volder [1706], G II 170), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 4
     A reaction: Presenting this as the place where 'our thought' is 'terminated' seems to place it as mainly having a role in explanation, rather than in speculative metaphysics.
9. Objects / A. Existence of Objects / 5. Individuation / b. Individuation by properties
The law of the series, which determines future states of a substance, is what individuates it [Leibniz]
     Full Idea: That there should be a persistent law of the series, which involves the future states of that which we conceive to be the same, is exactly what I say constitutes it as the same substance.
     From: Gottfried Leibniz (Letters to Burcher De Volder [1706], 1704), quoted by Richard T.W. Arthur - Leibniz 4 'Applying'
     A reaction: The 'law of the series' is a bit dubious, but it is reasonable to say that a substance is individuated by its coherent progress of change over time. Disjointed change would imply an absence of substance. The law of the series is called 'primitive force'.
9. Objects / E. Objects over Time / 1. Objects over Time
Changeable accidents are modifications of unchanging essences [Leibniz]
     Full Idea: Everything accidental or changeable ought to be a modification of something essential or perpetual.
     From: Gottfried Leibniz (Letters to Burcher De Volder [1706], 1704.06.30)
     A reaction: Clear evidence that Leibniz is very much a traditional Aristotelian essentialist, and not as modal logicians tend to characterise him, as a super-essentialist who thinks all properties are essential. They are necessary for identity, but that's different.
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
Things in different locations are different because they 'express' those locations [Leibniz]
     Full Idea: Things that differ in place must express their place, that is, they must express the things surrounding, and thus they must be distinguished not only by place, that is, not by an extrinsic denomination alone, as is commonly thought.
     From: Gottfried Leibniz (Letters to Burcher De Volder [1706], 1703.06.20)
     A reaction: This is an unusual view, which has some attractions, as it enables the relations of a thing to individuate it, while maintaining that this is a real difference in character.
In nature there aren't even two identical straight lines, so no two bodies are alike [Leibniz]
     Full Idea: In nature any straight line you may take is individually different from any other straight line you may find. Accordingly, it cannot come about that two bodies are perfectly equal and alike.
     From: Gottfried Leibniz (Letters to Burcher De Volder [1706], 1703.06.20)
     A reaction: Leibniz was very good at persuasive examples! It remains unclear, though, why he takes the Identity of Indiscernibles to be a necessary truth, when he seems to have only observed it from experience. This is counter to his other principles.
If two bodies only seem to differ in their position, those different environments will matter [Leibniz]
     Full Idea: If two bodies differ only in their position, their individual relations to the environment must be taken into account, so that more is involved in their distinguishability than just position.
     From: Gottfried Leibniz (Letters to Burcher De Volder [1706], 1703.06.20)
     A reaction: This seems to allow that two bodies could be intrinsically type-identical (though differing in extrinsic features), which is contrary to his normal view. I suppose a different location in the gravitational field will make an intrinsic difference.
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
Scientific truths are supported by mutual agreement, as well as agreement with the phenomena [Leibniz]
     Full Idea: Among the most powerful indications of truth belongs the fact that scientific propositions agree with one another as well as with phenomena.
     From: Gottfried Leibniz (Letters to Burcher De Volder [1706], 1699.03.24/04.03)
     A reaction: I take this to be the case not only with science, but with all other truths. Leibniz is particularly keen on the interconnectedness of things, so coherence justification suits him especially well. But surely all scientists embrace this idea?
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
Two main types of explanation are by causes, or by citing a theoretical framework [Cartwright,N]
     Full Idea: In explaining a phenomenon one can cite the causes of that phenomenon; or one can set the phenomenon in a general theoretical framework.
     From: Nancy Cartwright (How the Laws of Physics Lie [1983], 4.1)
     A reaction: The thing is, you need to root an explanation in something taken as basic, and theoretical frameworks need further explanation, whereas causes seem to be basic.
14. Science / D. Explanation / 2. Types of Explanation / c. Explanations by coherence
An explanation is a model that fits a theory and predicts the phenomenological laws [Cartwright,N]
     Full Idea: To explain a phenomenon is to find a model that fits it into the basic framework of the theory and that thus allows us to derive analogues for the messy and complicated phenomenological laws that are true of it.
     From: Nancy Cartwright (How the Laws of Physics Lie [1983], 8.3)
     A reaction: This summarises the core of her view in this book. She is after models rather than laws, and the models are based on causes.
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
Laws get the facts wrong, and explanation rests on improvements and qualifications of laws [Cartwright,N]
     Full Idea: We explain by ceteris paribus laws, by composition of causes, and by approximations that improve on what the fundamental laws dictate. In all of these cases the fundamental laws patently do not get the facts right.
     From: Nancy Cartwright (How the Laws of Physics Lie [1983], Intro)
     A reaction: It is rather headline-grabbing to say in this case that laws do not get the facts right. If they were actually 'wrong' and 'lied', there wouldn't be much point in building explanations on them.
Laws apply to separate domains, but real explanations apply to intersecting domains [Cartwright,N]
     Full Idea: When different kinds of causes compose, we want to explain what happens in the intersection of different domains. But the laws we use are designed only to tell truly what happens in each domain separately.
     From: Nancy Cartwright (How the Laws of Physics Lie [1983], Intro)
     A reaction: Since presumably the laws are discovered through experiments which try to separate out a single domain, in those circumstances they actually are true, so they don't 'lie'.
Covering-law explanation lets us explain storms by falling barometers [Cartwright,N]
     Full Idea: Much criticism of the original covering-law model objects that it lets in too much. It seems we can explain Henry's failure to get pregnant by his taking birth control pills, and we can explain the storm by the falling barometer.
     From: Nancy Cartwright (How the Laws of Physics Lie [1983], 2.0)
     A reaction: I take these examples to show that true explanations must be largely causal in character. The physicality of causation is what matters, not 'laws'. I'd say the same of attempts to account for causation through counterfactuals.
I disagree with the covering-law view that there is a law to cover every single case [Cartwright,N]
     Full Idea: Covering-law theorists tend to think that nature is well-regulated; in the extreme, that there is a law to cover every case. I do not.
     From: Nancy Cartwright (How the Laws of Physics Lie [1983], 2.2)
     A reaction: The problem of coincidence is somewhere at the back of this thought. Innumerable events have their own explanations, but it is hard to explain their coincidence (see Aristotle's case of bumping into a friend in the market).
You can't explain one quail's behaviour by just saying that all quails do it [Cartwright,N]
     Full Idea: 'Why does that quail in the garden bob its head up and down in that funny way whenever it walks?' …'Because they all do'.
     From: Nancy Cartwright (How the Laws of Physics Lie [1983], 3.5)
     A reaction: She cites this as an old complaint against the covering-law model of explanation. It captures beautifully the basic error of the approach. We want to know 'why', rather than just have a description of the pattern. 'They all do' is useful information.
The covering law view assumes that each phenomenon has a 'right' explanation [Cartwright,N]
     Full Idea: The covering-law account supposes that there is, in principle, one 'right' explanation for each phenomenon.
     From: Nancy Cartwright (How the Laws of Physics Lie [1983], Intro)
     A reaction: Presumably the law is held to be 'right', but there must be a bit of flexibility in describing the initial conditions, and the explanandum itself.
14. Science / D. Explanation / 3. Best Explanation / c. Against best explanation
In science, best explanations have regularly turned out to be false [Cartwright,N]
     Full Idea: There are a huge number of cases in the history of science where we now know our best explanations were false.
     From: Nancy Cartwright (How the Laws of Physics Lie [1983], 5.3)
     A reaction: [She cites Laudan 1981 for this] The Ptolemaic system and aether are the standard example cited for this. I believe strongly in the importance of best explanation. Only a fool would just accept the best explanation available. Coherence is needed.
15. Nature of Minds / C. Capacities of Minds / 10. Conatus/Striving
Primitive forces are internal strivings of substances, acting according to their internal laws [Leibniz]
     Full Idea: Primitive forces can be nothing but the internal strivings [tendentia] of simple substances, striving by means of which they pass from perception to perception in accordance with a certain law of their nature.
     From: Gottfried Leibniz (Letters to Burcher De Volder [1706], 1704 or 1705)
     A reaction: 'Perception' sounds a bit crazy, but he usually qualifies that sort of remark by saying that it is an 'analogy' with conscious willing souls. The 'internal strivings of substances' is a nice phrase for the basic powers in nature where explanations stop.
17. Mind and Body / A. Mind-Body Dualism / 1. Dualism
Soul represents body, but soul remains unchanged, while body continuously changes [Leibniz]
     Full Idea: The essence of the soul is to represent bodies. ...The soul and the idea of the body do not signify the same thing. For the soul remains one and the same, while the idea of the body perpetually changes as the body itself changes.
     From: Gottfried Leibniz (Letters to Burcher De Volder [1706], 1699.03.24/04.03)
     A reaction: This seems to rest on the Cartesian Ego, as the essence of mind which does not change. And yet elsewhere he describes the Ego as a mere abstraction from introspected mental life.
18. Thought / D. Concepts / 3. Ontology of Concepts / a. Concepts as representations
Our notions may be formed from concepts, but concepts are formed from things [Leibniz]
     Full Idea: You assert that the notion of substance is formed from concepts, and not from things. But are not concepts themselves formed from things?
     From: Gottfried Leibniz (Letters to Burcher De Volder [1706], 1699.06.23), quoted by David Wiggins - Sameness and Substance Renewed 5.7
     A reaction: A nice remark, which is true even of highly abstruse, abstract or fanciful concepts. You are still left with the question of how far away from reality you have moved when you construct things from your reality-based concepts.
18. Thought / E. Abstraction / 3. Abstracta by Ignoring
Universals are just abstractions by concealing some of the circumstances [Leibniz]
     Full Idea: In forming universals the soul only abstracts certain circumstances by concealing innumerable others. ..A spherical body complete in all respects is nowhere in nature; the soul forms such a notion by concealing aberrations.
     From: Gottfried Leibniz (Letters to Burcher De Volder [1706], 1704 or 1705)
     A reaction: This is Leibniz's affirmation of traditional 'abstraction by ignoring', which everyone seems to have believed in before Frege, and which I personally think is simply correct, even though it is deeply unfashionable and I keep it to myself.
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / c. Matter as extension
Even if extension is impenetrable, this still offers no explanation for motion and its laws [Leibniz]
     Full Idea: Even if we grant impenetrability is added to extension, nothing complete is brought about, nothing from which a reason for motion, and especially the laws of motion, can be given.
     From: Gottfried Leibniz (Letters to Burcher De Volder [1706], 1704 or 1705)
     A reaction: When it comes to the reasons for the so-called 'laws of nature', scientists give up, because they've only got mathematical descriptions, whereas the philosopher won't give up (even though, embarassingly, the evidence is running a bit thin).
26. Natural Theory / C. Causation / 8. Particular Causation / e. Probabilistic causation
A cause won't increase the effect frequency if other causes keep interfering [Cartwright,N]
     Full Idea: A cause ought to increase the frequency of the effect, but this fact may not show up in the probabilities if other causes are at work.
     From: Nancy Cartwright (How the Laws of Physics Lie [1983], 1.1)
     A reaction: [She cites Patrick Suppes for this one] Presumably in experimental situations you can weed out the interference, but that threatens to eliminate mere 'probability' entirely.
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
An entelechy is a law of the series of its event within some entity [Leibniz]
     Full Idea: I recognize a primitive entelechy in the active force found in motion, something analogous to the soul, whose nature consists in a certain law of the same series of changes.
     From: Gottfried Leibniz (Letters to Burcher De Volder [1706], 1699.03.24)
     A reaction: This is his 'law-of-the-series', which is a speculative attempt to pin down the character of the active essence of things which gives rise to activity. The law of such activity is within the things themselves, as scientific essentialists claim.
26. Natural Theory / D. Laws of Nature / 2. Types of Laws
There are fundamental explanatory laws (false!), and phenomenological laws (regularities) [Cartwright,N, by Bird]
     Full Idea: Nancy Cartwright distinguishes between 'fundamental explanatory laws', which we should not believe, and 'phenomenological laws', which are regularities established on the basis of observation.
     From: report of Nancy Cartwright (How the Laws of Physics Lie [1983]) by Alexander Bird - Philosophy of Science Ch.4
     A reaction: The distinction is helpful, so that we can be clearer about what everyone is claiming. We can probably all agree on the phenomenological laws, which are epistemological. Personally I claim truth for the best fundamental explanatory laws.
Laws of appearances are 'phenomenological'; laws of reality are 'theoretical' [Cartwright,N]
     Full Idea: Philosophers distinguish phenomenological from theoretical laws. Phenomenological laws are about appearances; theoretical ones are about the reality behind the appearances.
     From: Nancy Cartwright (How the Laws of Physics Lie [1983], Intro)
     A reaction: I'm suspecting that Humeans only really believe in the phenomenological kind. I'm only interested in the theoretical kind, and I take inference to the best explanation to be the bridge between the two. Cartwright rejects the theoretical laws.
26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory
Good organisation may not be true, and the truth may not organise very much [Cartwright,N]
     Full Idea: There is no reason to think that the principles that best organise will be true, nor that the principles that are true will organise much.
     From: Nancy Cartwright (How the Laws of Physics Lie [1983], 2.5)
     A reaction: This is aimed at the Mill-Ramsey-Lewis account of laws, as axiomatisations of the observed patterns in nature.
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
The only permanence in things, constituting their substance, is a law of continuity [Leibniz]
     Full Idea: Nothing is permanent in things except the law itself, which involves a continuous succession ...The fact that a certain law persists ...is the very fact that constitutes the same substance.
     From: Gottfried Leibniz (Letters to Burcher De Volder [1706], 1704)
     A reaction: Aristotle and Leibniz are the very clear ancestors of modern scientific essentialism. I've left out a few inconvenient bits, about containing 'the whole universe', and containing all 'future states'. For Leibniz, laws are entirely rooted in things.
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
To get from facts to equations, we need a prepared descriptions suited to mathematics [Cartwright,N]
     Full Idea: To get from a detailed factual knowledge of a situation to an equation, we must prepare the description of the situation to meet the mathematical needs of the theory.
     From: Nancy Cartwright (How the Laws of Physics Lie [1983], Intro)
     A reaction: She is clearly on to something here, as Galileo is blatantly wrong in his claim that the book of nature is written in mathematics. Mathematics is the best we can manage in getting a grip on the chaos.
Simple laws have quite different outcomes when they act in combinations [Cartwright,N]
     Full Idea: For explanation simple laws must have the same form when they act together as when they act singly. ..But then what the law states cannot literally be true, for the consequences that occur if it acts alone are not what occurs when they act in combination.
     From: Nancy Cartwright (How the Laws of Physics Lie [1983], 3.6)
     A reaction: This is Cartwright's basic thesis. Her point is that the laws 'lie', because they claim to predict a particular outcome which never ever actually occurs. She says we could know all the laws, and still not be able to explain anything.
There are few laws for when one theory meets another [Cartwright,N]
     Full Idea: Where theories intersect, laws are usually hard to come by.
     From: Nancy Cartwright (How the Laws of Physics Lie [1983], 2.3)
     A reaction: There are attempts at so-called 'bridge laws', to get from complex theories to simple ones, but her point is well made about theories on the same 'level'.
27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces
The force behind motion is like a soul, with its own laws of continual change [Leibniz]
     Full Idea: I recognise, in the active force which exerts itself through motion, the primitive entelechy or in a word, something analogous to the soul, whose nature consists in a certain perpetual law of the same series of changes through which it runs unhindered.
     From: Gottfried Leibniz (Letters to Burcher De Volder [1706], 1699), quoted by Cover,J/O'Leary-Hawthorne,J - Substance and Individuation in Leibniz 6.1.3
     A reaction: This is a hugely metaphysical account of force, contrasting with Newton's largely mathematical account. He very often says that force is 'analogous' to the soul, rather than that it actually is a soul. He never quite believes that monads are real minds.
27. Natural Reality / C. Space / 2. Space
Space is the order of coexisting possibles [Leibniz]
     Full Idea: Extension is the order of coexisting possibles.
     From: Gottfried Leibniz (Letters to Burcher De Volder [1706], 1703.06.20)
     A reaction: [In his next letter he uses the word 'space' instead of 'extension'] This is a rather startling different and modal definition of space. Cf Idea 13181.
27. Natural Reality / D. Time / 1. Nature of Time / b. Relative time
Time is the order of inconsistent possibilities [Leibniz]
     Full Idea: Time is the order of inconsistent possibilities.
     From: Gottfried Leibniz (Letters to Burcher De Volder [1706], 1703.06.20)
     A reaction: Cf. Idea 13180. This sounds wonderfully bold and interesting, but I can't make much sense of it. One might say it is 'an' order for such things, but 'the' order is weird.