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Title: Physics and the


1
Physics and the Real Patterns theory of
ontology
  • James Ladyman

2
Thanks to Joss and Richard and the Lorentz Centre
  • The document that describes the topic of the
    conference does a great job of identifying a lot
    of important and fascinating issues.
  • Thanks to the physicists for informing us about
    the relevant phenomena.
  • My ideas owe a lot to my co-authors Steven French
    and Don Ross.
  • The material on phlogiston is forthcoming in a
    paper in Synthese

3
Three Ideas
  • Structure is retained on theory change even when
    ontology is not.
  • Structuralism about a domain involves the idea
    that the entities in the domain are mutually
    dependent on each other for their
    existence/individuation.
  • Real Patterns
  • In the case of physical structures I contend that
    these three ideas all centrally involve modality.

4
Of what is everything made?
  • Western philosophy allegedly started when the
    pre-Socratics asked this question.
  • This is a metaphysical question physics is
    supposed to answer.
  • It presupposes that the world comes in a
    hierarchy of levels and that there is a
    fundamental level with a few basic kinds of
    entities.
  • The most naïve picture is one of physical objects
    ordered by (spatial) size and ultimately composed
    of elementary particles.

5
Levels
  • There is not necessarily a single hierarchy
  • Ordering by spatiotemporal scale
  • Ordering by energy
  • Ordering by composition
  • Anomalous sciences evolution, game theory,
    economics, thermodynamics,

6
Scepticism about Levels
  • Spatiotemporal scale may not be a fundamental
    feature of reality. It is an open question
    whether quantum gravity will take the
    spatiotemporal manifold as primitive rather than
    emergence.
  • The same may be true of the energy scale.
  • The levels structure based on the composition
    relation is undermined by the fact that the
    notion of composition does not translate well
    into physics
  • Of what are quasiparticles composed?
  • Are particles composed of quantum fields?
  • What composes a black hole?

7
1. Theory Change as a Motivation for
Structuralism
  • Antirealism science saves the phenomena
  • Realism science describes the furniture of the
    world
  • Structural Realism science tells us about the
    structure of the world - more than merely saving
    the phenomena but less than full ontological
    commitment
  • Example even the existence of central
    theoretical entities is necessary for more than
    empirical adequacy.

8
The Theory of Phlogiston
  • Burning is a process in which a principle of
    combustion is given off by the fuel and enters
    the air.

9
The Theory of Phlogiston
  • Burning is a process in which a principle of
    combustion is given off by the fuel and enters
    the air.
  • All flammable substances are supposed to contain
    phlogiston and it is what all metals have in
    common.

10
The Theory of Phlogiston
  • Burning is a process in which a principle of
    combustion is given off by the fuel and enters
    the air.
  • All flammable substances are supposed to contain
    phlogiston and it is what all metals have in
    common.
  • There is no such substance and ordinary
    combustion is the addition of oxygen to something
    and not the emission of something by the fuel.

11
The Theory of Phlogiston
  • Burning is a process in which a principle of
    combustion is given off by the fuel and enters
    the air.
  • All flammable substances are supposed to contain
    phlogiston and it is what all metals have in
    common.
  • There is no such substance and ordinary
    combustion is the addition of oxygen to something
    and not the emission of something by the fuel.
  • So it seems obvious that phlogiston theory must
    be bad science.

12
The Theory of Phlogiston (heyday 1700-1790)
  • Becher (1635-1682) proposed combustible earth (as
    one of three earths composing ordinary
    substances).

13
The Theory of Phlogiston (heyday 1700-1790)
  • Becher (1635-1682) proposed combustible earth (as
    one of three earths composing ordinary
    substances).
  • Stahl (1660-1734) proposed phlogiston in 1697
    (also year the worlds first heat engine was
    built) parallels between metals heated in air
    (calcination) and ordinary combustion creation
    of dust and light often given off, lots of air
    needed. Phlogiston given off in combustion -
    flames

14
The Theory of Phlogiston (heyday 1700-1790)
  • Becher (1635-1682) proposed combustible earth (as
    one of three earths composing ordinary
    substances).
  • Stahl (1660-1734) proposed phlogiston in 1697
    (also year the worlds first heat engine was
    built) parallels between metals heated in air
    (calcination) and ordinary combustion creation
    of dust and light often given off, lots of air
    needed. Phlogiston given off in combustion -
    flames
  • Wood turns to ash when burnt (phlogiston must
    therefore have mass).
  • Iron rusts to calx also giving off phlogiston.
  • Charcoal combusts almost completely so charcoal
    is very nearly pure phlogiston.

15
The Theory of Phlogiston (heyday 1700-1790)
  • Becher (1635-1682) proposed combustible earth (as
    one of three earths composing ordinary
    substances).
  • Stahl (1660-1734) proposed phlogiston in 1697
    (also year the worlds first heat engine was
    built) parallels between metals heated in air
    (calcination) and ordinary combustion creation
    of dust and light often given off, lots of air
    needed. Phlogiston given off in combustion -
    flames
  • Wood turns to ash when burnt (phlogiston must
    therefore have mass).
  • Iron rusts to calx also giving off phlogiston.
  • Charcoal combusts almost completely so charcoal
    is very nearly pure phlogiston.
  • Phlogiston was supposed to have a metallic
    quality. Metal calx burnt in charcoal becomes
    ordinary metal - adding phlogiston adds the
    metallic quality to the true form (calx) of the
    metal (practical application to copper mining).

16
The Theory of Phlogiston (heyday 1700-1790)
  • Becher (1635-1682) proposed combustible earth (as
    one of three earths composing ordinary
    substances).
  • Stahl (1660-1734) proposed phlogiston in 1697
    (also year the worlds first heat engine was
    built) parallels between metals heated in air
    (calcination) and ordinary combustion creation
    of dust and light often given off, lots of air
    needed. Phlogiston given off in combustion -
    flames
  • Wood turns to ash when burnt (phlogiston must
    therefore have mass).
  • Iron rusts to calx also giving off phlogiston.
  • Charcoal combusts almost completely so charcoal
    is very nearly pure phlogiston.
  • Phlogiston was supposed to have a metallic
    quality. Metal calx burnt in charcoal becomes
    ordinary metal - adding phlogiston adds the
    metallic quality to the true form (calx) of the
    metal (practical application to copper mining).
  • When something burns in a sealed container it
    uses up the oxygen in the air until eventually
    the fire goes out. This was explained in terms of
    the saturation of the air with phlogiston.
  • Combustion, respiration and calcification are all
    the same kind of reaction (oxidisation). (Animals
    in a sealed chamber phlogisticate the air
    (Boyle).)

17
The Theory of Phlogiston
  • Big Problem
  • Since Rey (1630) it was known that the calx of a
    metal could be heavier than its metallic form.
  • Some Stahlians posited negative weight for
    metallic phlogiston but most believed that
    impurities caused the weight increase.

18
Priestley (1733-1804)
  • Plants dephlogisticate the air (cycle between
    plants and animals).
  • Air without any phlogiston is air whose potential
    to be burnt is maximal.
  • Dephlogisticated air by heating a calx (red
    mercury) (1774)
  • Scheele (1742-1786) fire air (1771-2,
    published 1777)
  • There is a clear sense in which the
    dephlogisticated air that Priestley describes
    breathing is oxygen.

19
Priestley (1733-1804)
  • Plants dephlogisticate the air (cycle between
    plants and animals).
  • Air without any phlogiston is air whose potential
    to be burnt is maximal.
  • Dephlogisticated air by heating a calx (red
    mercury) (Priestley 1774)
  • Scheele (1742-1786) fire air (1771-2,
    published 1777)
  • There is a clear sense in which the
    dephlogisticated air that Priestley describes
    breathing is oxygen.
  • Phlogisticated air is air saturated with
    phlogiston.
  • Inflammable air hydrogen (Cavendish 1766) is
    pure phlogiston not charcoal according to
    Cavendish.
  • Priestley burned metal oxide in inflammable air
    to make pure metal (and water) - reduction
    inverse of oxidisation.
  • But inflammable air is obviously not just
    ordinary air with phlogiston in higher
    concentration, since ordinary air becomes
    saturated with phlogiston during combustion and
    eventually the fire goes out.
  • Some of the phlogisticated air dissolves in water
    (carbon dioxide) and some does not (mostly
    nitrogen). Neither supports ordinary combustion
    (like Oxygen) or reduction (like hydrogen).

20
Lavoiser (1743-1794)
  • Oxygen (dephlogisticated air) and hydrogen
    (phlogisticated air) found in compound ordinary
    air and make up water.
  • Burning, respiration and rusting of iron are all
    oxidisation.
  • But he also thought all acids contain oxygen and
    that oxygen was a principle not an element.

21
Realists on Phlogiston
  • Among philosophers phlogiston is a prime
    example of a non-referring theoretical term.
  • phlogiston refers to nothing (Psillos)
  • Phlogiston is a counterexample to the simple
    causal theory since then it would refer to oxygen
    (whatever is involved in combustion) (Bird)

22
Phlogistons Success
  • Explains loss of weight of wood, coal and
    ordinary substance when burnt.
  • Charcoal leaves hardly any ash because it is
    almost pure phlogiston.
  • Air saturated with phlogiston cannot support
    respiration.
  • Metal heat (in air) calx metal oxide
    phlogisticated air de-oxygenated air
  • Calx charcoal (source of phlogiston) metal (
    fixed air carbon dioxide (Joseph Black
    (1728-1799) 1754))
  • So Metal calx phlogiston (explaining what
    metals have in common)
  • Charcoal calx (fixed air) phlogiston
  • Metal acid salt inflammable air (note
    Lavoisier thought acids had to contain oxygen)
  • Metal water calx inflammable air
  • (Water inflammable air hydrogen
    dephlogisticated air oxygen)
  • Dephlogisticated marine acid (Scheele) chlorine
    (Davy).
  • novel prediction heat calx in inflammable air to
    get pure metal
  • novel prediction of new acids by Scheele (formic
    acid, lactic acid)
  • Animals and plants have opposite effects on the
    air - the former phlogisticate and the latter
    dephlogisticate
  • Metals are alike (lost by intermediary science
    between Priestley and electronic chemistry).
  • Phlogistication and dephlogistication are inverse
    chemical reactions (reduction and oxygenation)

23
  • phlogistication and dephlogistication can be
    regarded as referring to the processes of
    oxidation and reduction, where these are
    understood in the general sense of the formation
    of an ionic bond with an electronegative
    substance, and the regaining of electrons
    respectively.

24
  • phlogistication and dephlogistication can be
    regarded as referring to the processes of
    oxidation and reduction, where these are
    understood in the general sense of the formation
    of an ionic bond with an electronegative
    substance, and the regaining of electrons
    respectively.
  • If the oxidising agent is oxygen, and the
    oxidised compound is a source of carbon then the
    product is carbon dioxide i.e. fixed air.
    (combustion of fossil fuels)
  • If the oxidising agent is an acid, then hydrogen
    is emitted.

25
  • phlogistication and dephlogistication can be
    regarded as referring to the processes of
    oxidation and reduction, where these are
    understood in the general sense of the formation
    of an ionic bond with an electronegative
    substance, and the regaining of electrons
    respectively.
  • If the oxidising agent is oxygen, and the
    oxidised compound is a source of carbon then the
    product is carbon dioxide i.e. fixed air. If the
    oxidising agent is an acid, then hydrogen is
    emitted.
  • We could go further and allow that phlogiston
    rich and phlogiston deficient refer too,
    namely to strongly electro-negative and
    electro-positive molecules respectively.
  • One could even argue that phlogiston refers to
    electrons in the outer orbital of an atom.

26
Forgotten Wisdom Whewell, History of the
Inductive Sciences
  • But we must not forget how natural it was to
    suppose that some part of a body was destroyed or
    removed by combustionIt would be easy to show,
    from the writings of phlogistic chemists, what
    important and extensive truths their theory
    enabled them to express simply and clearly.
  • Combustion, respiration and calcination of metals
    are all the same kind of reaction and there is an
    inverse kind of reaction too.

27
Structural Realism
  • John Worrall (1989) introduced structural realism
    (although he attributes its original formulation
    to Poincaré). Using the case of the transition in
    nineteenth century optics from Fresnel's elastic
    solid ether theory to Maxwell's theory of the
    electromagnetic field, Worrall argues that
  • There was an important element of continuity in
    the shift from Fresnel to Maxwell and this was
    much more than a simple question of carrying over
    the successful empirical content into the new
    theory. At the same time it was rather less than
    a carrying over of the full theoretical content
    or full theoretical mechanisms (even in
    approximate form) ... There was continuity or
    accumulation in the shift, but the continuity is
    one of form or structure, not of content (1989,
    117).

28
More Structural Realism
  • Instructive historical examples
  • The transition from Fresnels ether theory of
    light to Maxwells electromagnetic field theory.
  • The transition from Galilean relativity to
    Lorentz invariance.
  • The transition from classical mechanics to
    quantum mechanics.
  • The transition from Newtonian gravitation to
    General Relativity.

29
Modality
  • We have been very focused on the composition of
    wholes by parts and have not addressed the key
    issue of the status of putative causal claims at
    different levels.
  • More generally, I consider modality to be a
    central issue for the philosophy of physics.
    (Counterfactual definiteness Locality is
    sufficient to prove Bells theorem (cf. Tomasz
    Bigaj in SHPMP).)

30
Modality
  • Realism physics tells us about causation, the
    laws of nature and deep metaphysics
  • Antirealism physics gives maximally general
    descriptions of regularities in the phenomena

31
Modality
  • Realism physics tells us about causation, the
    laws of nature and deep metaphysics
  • Antirealism physics gives maximally general
    descriptions of regularities in the phenomena
  • Example the speed limit of light speed - is it
    merely a generalization that is true or does it
    have some kind of necessary status?

32
Modality
  • Realism physics tells us about causation, the
    laws of nature and deep metaphysics
  • Antirealism physics gives maximally general
    descriptions of regularities in the phenomena
  • Example the speed limit of light speed - is it
    merely a generalization that is true or does it
    have some kind of necessary status?
  • Example the laws and the constants and the
    fine-tuning argument

33
Is Physics Special and is fundamental physics
special with respect to the rest of physics?
  • In science there is only physics all the rest
    is stamp collecting.
  • Ernest Rutherford

34
The Incompleteness of the Special Sciences
  • In all the special sciences it is acceptable to
    invoke entities and processes from more
    fundamental sciences in explanations.
  • For example, the economy may be affected by the
    weather, living systems may be affected by
    radiation, chemical reactions may be affected by
    magnetic fields, and so on.
  • There is a fundamental asymmetry between physics
    and the special sciences.

35
The Completeness of Physics
  • Fundamental physics aspires to a kind of
    completeness in so far as it is never permitted
    to invoke entities or processes from the special
    sciences in an explanation of the behaviour of
    the the fundamentally physical.
  • Physics is analytically complete since it is the
    only science that cannot be left incomplete.

36
Fundamental Physics
  • Measurements at all scales and at all locations
    in spacetime are potential falsifications or
    confirmations of fundamental physics.
  • This is not true of any other science.
  • Fundamental physics may not exist other than as a
    limiting ideal (if there is no fundamental
    level).
  • (Many parts of physics are special sciences.)

37
The Primacy of Physics Constraint (PPC)
  • Naturalists ought only to accept a form of
    physicalism that is motivated by reflection on
    the history of science and the nature and
    practice of contemporary science. Ladyman and
    Ross argue that this justifies nothing more than
    the PPC (methodological physicalism)
  • Special science hypotheses that conflict with
    fundamental physics, or such consensus as there
    is in fundamental physics, should be rejected for
    that reason alone. Fundamental physical
    hypotheses are not symmetrically hostage to the
    conclusions of the special sciences. (2007, 44)
  • This leaves it open to the naturalist to believe
    both that the entities posited by the special
    sciences exist, and that the causal relations
    posited by them are genuine.

38
2. Structuralism and the Part-Whole relation
  • The natural numbers are often said to
    ontologically depend on each other and the
    relations among them - so the parts depend on the
    whole.
  • Cf. the identity and individuality of spacetime
    points depends on the metric field and hence
    again the parts depend on the whole.

39
  • Structuralism less than ontological commitment
    to the dressing theory is given more than
    relations among the phenomena.

40
Objects and Individuals
  • What does it take to be an object?
  • What does it take to be an individual?
  • Quasi-particles, Bose Einstein Condensates,
    Cooper pairs, entangled photon pairs, quantum
    fields
  • Do they exist in the same sense as tables and
    chairs?

41
Individuation
  • PII and weak discernibility - structures
    admitting a non-trivial automorphism - complex
    plane, fermions in the singlet state (Michal)
  • purely relational individuation
  • an asymmetric graph of order 6 pure relations
    can give rise to absolute discernibility

42
Quasi-Particles
  • Bipolaron a bound pair of two polarons
  • Chargon a quasiparticle produced as a result of
    electron spin-charge separation
  • Configuron an elementary configurational
    excitation in an amorphous material which
    involves breaking of a chemical bond
  • Electron hole a lack of electron in a valence
    band
  • Exciton a bound state of an electron and a hole
  • Fracton a collective quantized vibration on a
    substrate with a fractal structure.
  • Holon a quasi-particle resulting as a result of
    electron spin-charge separation
  • Libron a quasiparticle associated with the
    librational motion of molecules in a molecular
    crystal
  • Magnon a coherent excitation of electron spins
    in a material
  • Phason vibrational modes in a quasicrystal
    associated with atomic rearrangements
  • Phonon vibrational modes in a crystal lattice
    associated with atomic shifts
  • Plasmon a coherent excitation of a plasma
  • Polaron a moving charged quasiparticle that is
    surrounded by ions in a material
  • Polariton a mixture of photon with other
    quasiparticles
  • Roton elementary excitation in superfluid
    Helium-4
  • Soliton a self-reinforcing solitary excitation
    wave
  • Spinon a quasiparticle produced as a result of
    electron spin-charge separation

43
3. Real Patterns
  • macroscopic objects as relatively stable and
    enduring patterns that emerge within the
    structure of the quantum state of the world.
  • On such a view, the world need not form a
    compositional hierarchy, with or without ultimate
    parts.

44
Special Science Ontology
  • In science one is only interested in recovering
    the statistical properties of low-level entities
    when tracking high level ones.
  • Coarse-graining and approximation are necessary
    for special science ontologies to emerge. This
    explains why even token identities do not obtain
    between say a cat and its constituent atoms.
  • In the special sciences one is usually interested
    in universal forms of behaviour, where
    universal means independent of microphysical or
    lower level constitution. The identification of
    universality and the appropriate descriptive
    categories for tracking it is one of the
    principle tasks of the special sciences.
  • The scale relativity of ontology (Ladyman and
    Ross)
  • The renormalization group view of the world
    (Sokal and Bricmont) the renormalization group
    describes transformations that allow the number
    of degrees of freedom in the Hamiltonian of a
    system to be massively reduced while still
    recovering the critical behaviour of the system.

45
Complexity
  • The special sciences are possible because the
    world is to some extent algorithmically
    compressible. At certain levels of description
    it is possible to use much less information to
    predict the behaviour of systems described in an
    approximate and probabilistic way, than would be
    needed to describe their microstates.
  • For example, Keplers laws, the ideal gas laws,
    the HardyWeinberg law, In fact all laws in the
    special sciences are like this. The special
    sciences rely upon reduction in the degrees of
    freedom of the system.
  • There are real patterns in the world that are
    only visible at the right scales of resolution
    and degrees of approximation. If you dont see
    them you are missing something about reality and
    that is good enough to allow us to say that the
    objects, properties and processes described by
    the special sciences are real.

46
Computational Approaches to Emergence
  • between order and randomness
  • logical depth, thermodynamic depth, statistical
    complexity, information theoretic entropy,
    algorithmic complexity,
  • complex systems involve hierarchical organisation.

47
Real Patterns
  • Daniel Dennetts notion of real pattern is a
    computational one.
  • The idea is based on the compression of data and
    the reduction of information processing made
    possible by a high level description of a system
    that could in principle be described at a
    fine-grained level but at a much greater
    computational cost.

48
  • John Conways Game of Life is based on a simple
    implementation of cellular automata that makes a
    particular range of stable dynamic attractors
    highly salient to people.
  • A person using the system naturally book-keeps
    its state sequences by reference to a typology of
    emergent objectsgliders, eaters,
    spaceships, etc.that have only virtual
    persistence. (That is, two successive instances
    of the same glider share only structure, and
    common participation in structures larger than
    themselves.
  • A glider is clearly mereologically composed of a
    small number of illuminated cells. However, its
    successive instances are composed of different
    cells, and successive instances a few steps apart
    have no cells in common.)
  • Once this descriptive stance is adopted towards
    Life, almost all users spontaneously track the
    dynamics in terms of causal interactions among
    instances of these typesfor example, a glider
    will be caused to disappear through interacting
    with an eater. That is, Life users naturally
    begin logging causal generalizations about the
    types of virtual objects, and thereby seem to
    commit themselves to their objective existence.
  • (All the above paragraphs are taken from Ladyman
    and Ross (2007), chapter 4.)

49
  • One should be cautious in using the Game of Life
    as a metaphysical model of the universe.
  • It is useful for the purposes to which Dennett
    puts it, because it shows how patterns can emerge
    at grains of analysis coarser than the grain at
    which what is analogous to the fundamental
    microphysical level is studied, even when all
    causal processes governing the latter are
    non-complex, known, measurable, and
    deterministic. Life is thus a good antidote to
    romantic interpretations of emergence.
  • However, because in Life there is an unambiguous
    fundamental level composed of the aggregation of
    a finite number of little things, and because no
    higher-level object types cross-classify the
    dimensions of any models of the game relative to
    classifications in terms of cells, Life differs
    greatly from the universe with respect to the
    kinds of reductionism sustainable in it. Life
    admits of complete decomposition the universe
    might not.
  • (All the above paragraphs are taken from Ladyman
    and Ross (2007), chapter 4.)

50
Definition of Real Patterns (Ladyman and Ross,
2007, chapter 3
  • To be is to be a real pattern and a pattern is
    real iff
  • it is projectible under at least one physically
    possible perspective and,
  • it encodes information about at least one
    structure of events or entities S where that
    encoding is more efficient, in information-theoret
    ic terms, than the bit-map encoding of S, and
    where for at least one of the physically possible
    perspectives under which the pattern is
    projectible, there exists an aspect of S that
    cannot be tracked unless the encoding is
    recovered from the perspective in question.

51
  • According to RP, the utility of the intentional
    stance is a special case of the utility of
    scale-relative perspectives in general in
    science, and expresses a fact about the way in
    which reality is organizedthat is to say, a
    metaphysical fact. The fact in question is what
    we (but not Dennett) call the scale relativity of
    ontology.
  • Scale relativity of epistemology isnt
    controversial. To borrow an example from Wallace
    (2001), if you want to predict what a hungry
    tiger will do when confronted with a deer, you
    should study whole behavioural patterns of whole
    tigers, not individual tiger cells or molecules.
    It is clearly motivated by any thesis to the
    effect that models of complex systems are
    scientifically useful.
  • (All the above paragraphs are taken from Ladyman
    and Ross (2007), chapter 4.)
  • trade offs between scope, accuracy and simplicity

52
  • Real patterns are preserved on theory change -
    cf. Butterfield on the Krebs cycle.

53
  • Dennetts paper is notoriously unclear about
    whether real patterns should be regarded as
    real or as useful fictions.
  • realism versus pragmatism - metaphysics versus
    epistemology

54
  • Conservative metaphysicians would complain, the
    eater is a redundant causal factor, since the
    program underlying Life, which in its declarative
    representation quantifies only over cells, is
    strictly deterministic. We are reminded that an
    eater or a glider is, at any given time, made
    of cells and nothing else. Then we are invited
    to agree that a thing cannot have causal efficacy
    over and above the summed causal capacities of
    the parts with which it is allegedly identical.
    The result is supposed to be reductionism, and
    instrumentalism about gliders and eaters.
  • (The above paragraph is from Ladyman and Ross
    (2007), chapter 4.)

55
  • Real patterns are defined modally.
  • They are there to be discovered.

56
  • David Wallace advocates what he calls a
    functionalist account of ontology based on the
    notion of real patterns in his elucidation of the
    Everettian interpretation of quantum mechanics.
  • His ontology is two-tier in that only
    higher-order entities such as cats and tables are
    understood in terms of real patterns, whereas the
    wavefunction or whatever else proves to be
    fundamental in physics is understood in
    categorical rather than functional terms.

57
  • On the other hand, James Ladyman and Don Ross
    (2007) advocate a real patterns account of
    ontology across the board.
  • All real patterns are real but there is an
    asymmetric relation among them.
  • The relation is not composition since emergent
    structure is not reducible to the sum of the
    parts - no building blocks (Healey)

58
  • Real patterns theory can be developed in terms of
    the dynamics of phase spaces rather than in
    computational terms. (Jenann Ismael suggested
    this.)
  • Reducing the number of degrees of freedom by
    finding objects.
  • There are synchronic patterns too of course but
    they could be represented in terms of laws of
    co-existence.
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