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MEMPERTANYAKAN
RASIONALITAS DAN
ESTETIKA MATEMATIKA
@iwanpranoto
ITB
2 Februari 2012
“But mathematics is the sister,
as well as the servant, of the
arts and is touched with the
same madness and genius.”
Harold Marston Morse
Estetika dalam Matematika
Kesederhanaan Ketakterdugaan
Kesemestaan
Iwan Pranoto © 2012
Aesthetic
Efficient
Iwan Pranoto © 2012
Ellsworth Kelly’s Oranges
Pablo Picasso’s
To arrive at abstraction, it is
always necessary to
begin with a concrete
reality . . . . You must always
start with something.
Afterward you can remove
all traces of reality . . . .
Iwan Pranoto © 2012
Mathematics
andAesthetic
The mathematician’s
‘aesthetic buzz’ comes not
only from simply
contemplating a beautiful
piece of mathematics, but,
additionally, from achieving
insight.
N. Sinclair, et al (2006,
p. 25)
Henri Matisse L’escargot
Bentuk Estetika di Matematika
Karya seni yang
diinspirasi oleh
matematika.
Proses
bermatematika
yang mewujudkan
estetika.
Karya matematika
yang punya sifat
kesemestaan.
Iwan Pranoto © 2012
Works of
M.C. Escher
Iwan Pranoto © 2012
Proses bermatematika yang mewujudkan
estetika
• Ada berapa banyak
segitiga samasisi
semuanya?
Iwan Pranoto © 2012
Estetika Pengungkapan Pernalaran
Irasionalitas akar dua Pitagoras
Iwan Pranoto © 2012
Rumus
Terindah
Contoh karya
matematika yang
memiliki sifat
kesemestaan
Iwan Pranoto © 2012
Mathematics
andAesthetic
The mathematician’s
‘aesthetic buzz’ comes not
only from simply
contemplating a beautiful
piece of mathematics, but,
additionally, from achieving
insight.
N. Sinclair, et al (2006,
p. 25)
Iwan Pranoto © 2012
The object of mathematical
rigor is to sanction and
legitimize the conquests of
intuition, and there was
never any other object for
it. (in Pólya, 1981, p. 127)
Iwan Pranoto © 2012
A
Mathematician’
s Apology
Beauty is the first test.
There is no permanent
place in the world for
ugly mathematics.
(1940, p. 84)
G.H. Hardy
Iwan Pranoto © 2012
“My work always tried to unite
the true with the beautiful, but
when I had to choose one or
the other, I usually chose the
beautiful.”
Hermann Weyl
Mathematics
andAesthetic
…mathematicians are
not only motivated to find
ground-breaking results,
but that they also strive
for better ways to say
things or to show things
Jonathan M. Borwein
Iwan Pranoto © 2012
THE END
Terima Kasih
@iwanpranoto
pakiwan.com

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