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

II. Perspectives
of mathmatial knowldg. Our
prodution
ar shapd y, and in turn shap,
prsptivs
mathmatial ommunity around us, and
th
mathmatis intrats with th widr
how
Thrfor, it is worth xamining th
world.
of having a divrsity of prsptivs
valu
and mathmatiian Jams
Philosophr
invits us to onsidr whthr thr
Franklin
ntitis of mathmatial natur at a tim
wr
humans thought aout mathmatis
for
had a languag with whih to dsri
and
(Franklin 2014). H quikly suggsts that
it.
thr wr many suh proprtis, and
indd
is among th ttr xampls. Th
symmtry
ilatral symmtry of animals
approximat
th irular symmtry of trs hav n
and
as xampls for th way mathmatis
usd
in th world indpndnt
manifsts
this vido, mathmatiian Marus du Sautoy
In
symmtry not in th imagind world
xplors
humans, ut in mid-13th ntury Islami
for
art.
gomtri
trms: Sautoy
Sarh
rality’s riddl
Symmtry,
taks us to th Alhamra in Granada
Sautoy
th south of Spain. Wath th vido and
in
mathmatis is an invntion, who gts
If
for it, and why do w tah it as if it
rdit
univrsal? If it is disovrd, has it n
wr
indpndntly, through diffrnt
disovrd
y various ulturs throughout
mthods,
How hav diffrnt popls diffrntly
history?
w know that th Moorish artists paintd
Today
17 mathmatially possil symmtris on th
all
ilings and floors of th Alhamra. Thy
walls,
this six nturis for humans had provd
did
17 is th maximum numr of symmtris
that
a two-dimnsional plan.
on
If two ulturs arriv at a mathmatial
1.
suh as symmtry sparatly, using
onpt
mthods, how dos this afft your
diffrnt
of whthr mathmatis is disovrd,
viw
What might othr xplanations for th
2.
dsrid in qustion 1?
oinidn
Considr th pattrns in th symmtris
3.
in th Alhamra.
sn
(a) In what sns ar th pattrns “ral”?
(b) What vidn is thr for this?
11
disovrd mathmatis?
inmathmatis.
For discussion
Was symmetry there before we
found it?
ofhumans.
as opposd to ing invntd?
onsidr th qustions low.
Making connections
the theme “Knowledge and religion”. How do artistic,
religious and mathematical knowledge practices
Knowledge in mathematics, art and religion
interact with one another in this example? What
The example of Islamic geometrical art places
challenges or opportunities arise when they intersect?
mathematics at an intersection with AOK “The arts” and
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