Galilei, Galileo
,
De Motu Antiquiora
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>|
hindered
[
by
it
];
for
since
the
medium
diminishes
the
heaviness
of
the
mobile
,
it
hinders
its
motion
:
upward
motion
in
fact
never
takes
place
,
unless
it
is
helped
by
the
medium
.
To
a
positive
effect
there
must
exist
a
positive
cause
;
hence
the
cause
of
motion
cannot
be
lightness
,
which
is
a
privation
. {1}
Hence
it
remains
that
it
be
heaviness
:
and
that
things
that
are
moved
upward
are
moved
by
heaviness
.
We
call
local
motion
that
[
motion
]
in
which
the
center
of
heaviness
of
the
mobile
is
moved
;
hence
we
will
not
speak
of
the
local
motions
of
the
celestial
orbs
since
their
center
of
heaviness
,
which
is
also
their
center
of
magnitude
,
always
remains
immobile
.
If
the
corpulence
and
the
density
of
water
were
the
cause
why
wood
is
not
submerged
, undoubtably
by
the
same
cause
,
after
it
was
submerged
by
something
else
,
it
would
be
hindered
from
coming
back
upward
.
Aristotle
has
shown
the
falsity
of
Plato'
s
excessive
devotion
to
geometry
,
in
Book
I
of
De generatione et corruptione [ch. 2, 315b25-316a17]. {1}
Aristotle,
in
Book
III,
section
8
of
the
<
i
>
Metaphysics
</
i
> [ch. 2, 997a35-998a4],
writes
thus
:
For
the
lines
perceptible
to
our
senses
are
not
such
as
geometry
presupposes
:
for
nothing
that
is
perceptible
to
our
senses
is
straight
and
curved
in
such
a
way
:
for
the
circle
does
not
touch
the
rule
at
a
point
,
but
[
it
touches
it
]
just
as
Protagoras
said
,
in
showing
the
falsity
of
the
geometers.
Aristotle,
in
Book
VII,
text
#10
of
<
i
>
Physics
</
i
> [243a12-15],
says
that
for
the
naturalness
of
motion
an
internal
cause
of
motion
,
and
not
an
external
one
,
is
required
.
Arstotle,
in
Book
III,
text
#72
of
<
i
>De Caelo</
i
> [307a13-22],
says
:
If
it
is
because
of
the
triangles
that
fire
warms
,
it
would
follow
that
mathematical
bodies
would
warm
.
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