mempertanyakan rasionalitas dan estetika matematika
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MEMPERTANYAKAN RASIONALITAS DAN ESTETIKA MATEMATIKA@iwanpranotoITB2 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
Iwan Pranoto © 2012
Estetika dalam Matematika
Kesederhanaan
Ketakterdugaan
Kesemestaan
Iwan Pranoto © 2012
Aesthetic Efficient
Iwan Pranoto © 2012
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 . . . .
Mathematics and Aesthetic
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
Iwan Pranoto © 2012
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
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Rumus Terindah
Contoh karya matematika yang memiliki sifat kesemestaan
Iwan Pranoto © 2012
Mathematics and Aesthetic
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
“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
Iwan Pranoto © 2012
Mathematics and Aesthetic
…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
THE ENDTerima Kasih@iwanpranotopakiwan.com
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