mempertanyakan rasionalitas dan estetika matematika
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MEMPERTANYAKAN RASIONALITAS DAN ESTETIKA MATEMATIKA@iwanpranotoITB2 Februari 2012
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“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
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Iwan Pranoto © 2012
Estetika dalam Matematika
Kesederhanaan
Ketakterdugaan
Kesemestaan
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Iwan Pranoto © 2012
Aesthetic Efficient
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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 . . . .
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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)
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Henri Matisse L’escargot
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Iwan Pranoto © 2012
Bentuk Estetika di Matematika
Karya seni yang diinspirasi oleh
matematika.
Proses bermatematika
yang mewujudkan estetika.
Karya matematika yang punya sifat kesemestaan.
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Iwan Pranoto © 2012
Works of M.C. Escher
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Iwan Pranoto © 2012
Proses bermatematika yang mewujudkan estetika
• Ada berapa banyak segitiga samasisi semuanya?
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Iwan Pranoto © 2012
Estetika Pengungkapan Pernalaran
Irasionalitas akar dua Pitagoras
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Iwan Pranoto © 2012
Rumus Terindah
Contoh karya matematika yang memiliki sifat kesemestaan
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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)
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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)
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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
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“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
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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
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THE ENDTerima [email protected]