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LMU The ontology of physics 15 October 14

The beginning of natural philosophy: from the

Presocratics to Newton

Michael Esfeld LMU-MCMP &

Université de Lausanne

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Natural philosophy

Aristotle (389-323 before J.C.):

physis: the realm of what exists in itself; physics: the science of that realm

metaphysics: the general principles of being

Newton: Philosophiae naturalis principia mathematica (1687)

  physics and philosophy in one: physics on the basis of the definition of general concepts about nature

contra positivism: mathematical formalism does not speak for itself

contra armchair metaphysics: no knowledge about nature without empirical knowledge

Aristotle, Descartes, Leibniz, Newton, Einstein

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Knowledge about nature:

physical theory

ontology: what there is (to on, ousia, hyle)

law: what describes the behaviour of what there is (nomos, kosmos)

1) What is matter?

2) What are the properties of matter so that certain laws describe its behaviour?

3) How do matter and its properties / laws explain the observable phenomena?

justification by coherence: universal theory of nature that makes it possible to predict and explain the

phenomena

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First Presocratic philosophers

Thales (about 640 before J.C.)

Anaximander (about 611-549 before J.C.) Anaximenos (about 600-550 before J.C.)

natural philosophers: bold hypotheses about the constitution of the universe as a whole

search for primary matter:

matter as stuff (“gunk”) stretching out throughout space

four elements: water, fire, earth, air

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Democritos (about 460-370 before J.C.)

“There is an infinite

number of impenetrable atoms, without qualities and indestructible,

which move in the void where they are

distributed. But when

they come close to each

other or collide, their

aggregation results in

water, in fire, in a plant,

or in a human being.”

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Newton, Opticks (1704)

“… it seems probable to me, that God in the

Beginning form d Matter in solid, massy, hard,

impenetrable, moveable Particles … the Changes of corporeal Things are to be placed only in the various Separations and new Associations and motions of these

permanent Particles.

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Particles

1) What is matter? = What are the physical objects?

matter = particles distributed in three-dimensional space (background)

particle = material object that is so small that it is localized at a point in space

indivisible

particle = point of space occupied instead of empty

 impenetrable

particles = primitive matter

definite number of particles, defined by number of

points of space that are occupied

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Discernibility

stipulation in atomism: each matter point is distinct from all the other ones by some

metrical relations

  absolutely discernible individuals

Leibniz: principle of the identity of indiscernibles

particles distinct in time through trajectory

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Why particles?

Democritos, Newton: atomism: matter = distribution of particles in space = primitive fact that some points of space are occupied while others are empty

matter: atoms plurality of substances

only initial variation: point of space occupied or empty

more matter in some regions of space than in others: in some regions, more points are occupied than in others

Presocratics: matter = a single substance distributed all over space (“gunk”)

initial variation: more matter at certains points of space than at

others

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Contra gunk

contemporary gunk: GRW matter density theory

Allori et al. (2014): “Moreover, the matter that we

postulate in GRWm and whose density is given by the m function does not ipso facto have any such properties as mass or charge; it can only assume various levels of

density.”

What does constitute the various levels of density of matter at points of space, if there are no properties such as mass or charge available?

  primitive stuff-essence that can assume various levels

of density at points of space

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Problem

What makes up the difference between a point of space being occupied and a point of space being empty?

no intrinsic properties such as mass or charge

no primitive thisness (haecceity)

primitive stuff-essence mysterious

  If there are essences, they better be

constituted by properties (or relations), but

never be primitive.

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Descartes, Leibniz vs. Newton

ontology: discrete objects (particles)

matter points being connected by metrical relations

(non-vanishing 3-dim distance between any two matter points that distinguishes them)

Leibniz: no commitment to absolute space: only matter points and metrical relations, no points of space

Cartesianism: matter points, because connected by

metrical relations (res extensa); standing in spatial

relations distinguishes primitive matter stuff from

(hypothetical) primitive mind stuff.

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Ontic structural realism

all there is to the matter points are the metrical relations in which they stand

  matter points structurally individuated by metrical relations

metrical relations their essence

  ontic structural realism

matter points primitive stuff in the sense that (a)

fundamental (= not being composed of anything else, but compose everything else), (b) primitive objects (= no essence constituted by intrinsic properties); but no

primitive stuff-essence.

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Change

distribution of matter in space changes in time

variation in time: as time passes, change in which points of space are occupied and which ones are empty

= change in the metrical relations that connect the matter points as time passes

change such that there are continuous trajectories of particles

 motion

each particle has an identity in time that distinguishes it from all the other particles

other possibility: events; but it is simpler to suppose that the

fundamental objects continue to exist as time passes (= continue to exist in changing their position) than to suppose that the fundamental objects are created and annihilated all the time

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Matter: three conceptions

particles

stuff, gunk

events

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Change

2) What are the properties of matter so that certain laws describe its behaviour?

properties: what determines the way in

which the objects change / develop in

time

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