Theory of Knowledge - Course Companion for Students Marija Uzunova Dang Arvin Singh Uzunov Dang

I. Scope
of th arly xampls of this “unrasonal
Most
wr appliations of mathmatis
fftivnss”
physis. As th mathmatiian Isral Glfand
in
aov, it would misguidd to laim that
quips
has n miraulously fftiv in
mathmatis
sins. That said, Glfand am on of
othr
pionrs of iomathmatis. Towards th nd
th
th 20th ntury iologists wr systmatially
of
xtnsivly applying omplx mathmatis
and
a varity of filds. If you hav th intrst, do
in
rsarh on stohasti modlling of nzym
som
swarm intllign and spatial
dynamis,
If mathmatis is th languag in whih
1.
xprsss itslf, is it ttr
natur
as a mthod in th natural
dsrid
rathr than a ody of knowldg
sins
2. Whn onsidring knowing mathmatis:
What vidn suggsts thr is mor
(a)
mathmatis than mthod?
to
Is knowing mathmatis knowing
(b)
to prform mathmatial
how
or is thr mor to this
alulations,
of knowldg?
ody
far, our disussion has ntrtaind th
Thus
that mathmatis is th languag
possiility
th univrs; and that through it w gain
of
into th strutur of th univrs. Th
insights
to this laim, suggstd y Hamming
ountr
othrs, is that mathmatis is only our way
and
dsriing and undrstanding th univrs,
of
thr is nothing inhrntly mathmatial
that
th univrs, or univrsal aout
aout
mathmatis.
physiist Drk Aott (2013) has
Th
that th supposd "unrasonal
suggstd
of mathmatis is an illusion
fftivnss"
y human timsals; that w liv
inflund
di so quikly that th univrs appars to
and
govrnd y mathmatial laws ut may not
disours aout mathmatis’ “unrasonal
This
raiss two rlatd qustions:
fftivnss”
mathmatis is disovrd or invntd,
whthr
whthr a numrial sns is iologially
and
this xris to not your intuitions
Us
mathmatis. Writ an nding to
aout
following sntn: “Mathmatial
th
is diffrnt from othr typs of
knowldg
you do this xris as a lass, ollt
If
ompltd sntns and
vryon’s
th rang of viws and lifs. Thn
disuss
th sntns into sts of laims and
organiz
11
There is only one thing which is more unreasonable
than the unreasonable eectiveness of mathematics
in physics, and this is the unreasonable
ineectiveness of mathematics in biology.
(Gelfand quoted in Borovik 2018)
Mathematics is biology’s next microscope, only
better; biology is mathematics’ next physics,
only better.
(Cohen 2004)
atually so.
vrsus ulturally ndowd.
Practising skills: Constructing
knowledge claims
modlling of nural ntworks.
For discussion
What is mathematics about?
knowldg in that ….”
in itslf—and why?
ountrlaims.
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