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Masalah keenam Hilbert - Riwayat revisi
2026-09-16T06:43:37Z
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Maintenance script: Presentation V4: sitasi, referensi, Math, Wikimedia Commons, dan atribusi
2026-08-25T17:59:43Z
<p>Presentation V4: sitasi, referensi, Math, Wikimedia Commons, dan atribusi</p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisi sebelumnya</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisi per 25 Agustus 2026 17.59</td>
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<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>'''Masalah keenam Hilbert''' adalah upaya untuk melakukan [[aksioma|pengaksioamaan]] terhadap cabang-cabang [[fisika]] di mana [[matematika]] memainkan peranan yang menonjol. Masalah ini tercantum dalam daftar terkenal [[Masalah Hilbert]] yang ia paparkan pada tahun 1900. Dalam terjemahan bahasa Inggris yang lazim, pernyataan eksplisitnya berbunyi:</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">[[File:StairsOfReduction.png|thumb|right|280px|Tangga reduksi model dari dinamika mikroskopik (''pandangan atomistik'') menuju dinamika kontinum makroskopik (''hukum gerak zat kontinu'') (Ilustrasi dari isi buku [https://archive.org/details/gorban-karlin-lnp-2005 Pranala alternatif] )]]</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>'''Masalah keenam Hilbert''' adalah upaya untuk melakukan [[aksioma|pengaksioamaan]] terhadap cabang-cabang [[fisika]] di mana [[matematika]] memainkan peranan yang menonjol. Masalah ini tercantum dalam daftar terkenal [[Masalah Hilbert]] yang ia paparkan pada tahun 1900.<ins style="font-weight: bold; text-decoration: none;"><ref>David Hilbert. ''Mathematical Problems''. ''Bulletin of the American Mathematical Society''. 1902. Vol. 8 (10). hlm. 437–479. doi:10.1090/S0002-9904-1902-00923-3. Publikasi sebelumnya (dalam bahasa Jerman asli) muncul dalam ''Göttinger Nachrichten'', 1900, hlm. 253–297, serta ''Archiv der Mathematik und Physik'', seri ke-3, vol. 1 (1901), hlm. 44–63, 213–237.</ref> </ins>Dalam terjemahan bahasa Inggris yang lazim, pernyataan eksplisitnya berbunyi:</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:6. Perlakuan Matematis terhadap Aksioma Fisika. Penyelidikan atas dasar-dasar geometri menyingkap suatu persoalan: ''untuk memperlakukan, dengan cara serupa melalui sistem aksioma, cabang-cabang ilmu fisika di mana matematika telah memainkan peranan penting; yang utama di antaranya ialah teori peluang dan mekanika.''</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:6. Perlakuan Matematis terhadap Aksioma Fisika. Penyelidikan atas dasar-dasar geometri menyingkap suatu persoalan: ''untuk memperlakukan, dengan cara serupa melalui sistem aksioma, cabang-cabang ilmu fisika di mana matematika telah memainkan peranan penting; yang utama di antaranya ialah teori peluang dan mekanika.''</div></td></tr>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Catatan==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Catatan==</div></td></tr>
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<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">*</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
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<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"></del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Pranala luar==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Pranala luar==</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://aleph0.clarku.edu/~djoyce/hilbert/problems.html#prob6 David Hilbert, Mathematical Problems, Problem 6, in English translation].</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://aleph0.clarku.edu/~djoyce/hilbert/problems.html#prob6 David Hilbert, Mathematical Problems, Problem 6, in English translation].</div></td></tr>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">== Sumber dan atribusi ==</ins></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>== <del style="font-weight: bold; text-decoration: none;">Sumber </del>dan <del style="font-weight: bold; text-decoration: none;">atribusi ==</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Konten artikel ini diadaptasi dari [https://id.wikipedia.org/w/index.php?title</ins>=<ins style="font-weight: bold; text-decoration: none;">Masalah+keenam+Hilbert&oldid</ins>=<ins style="font-weight: bold; text-decoration: none;">28757129 Wikipedia bahasa Indonesia], revisi 28757129 (2025-12-30T06:39:52Z), yang tersedia berdasarkan lisensi Creative Commons Atribusi-BerbagiSerupa (CC BY-SA). Gambar pada artikel ini bersumber dari Wikimedia Commons </ins>dan <ins style="font-weight: bold; text-decoration: none;">mengikuti ketentuan lisensi masing-masing berkas. Mohon gunakan konten dan media secara bijak serta sesuai dengan ketentuan lisensi yang berlaku.</ins></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">Konten artikel ini diadaptasi dari [https://id.wikipedia.org/w/index.php?title=Masalah+keenam+Hilbert&oldid=28757129 Wikipedia bahasa Indonesia], revisi 28757129 (2025</del>-<del style="font-weight: bold; text-decoration: none;">12</del>-<del style="font-weight: bold; text-decoration: none;">30T06:39:52Z), yang tersedia berdasarkan lisensi Creative Commons Atribusi</del>-<del style="font-weight: bold; text-decoration: none;">BerbagiSerupa (CC BY</del>-<del style="font-weight: bold; text-decoration: none;">SA). Mohon gunakan konten ini secara bijak serta sesuai dengan ketentuan lisensi yang berlaku.</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"><!</ins>-- <ins style="font-weight: bold; text-decoration: none;">WIKI_UNISSULA_PRESENTATION_V4 </ins>--<ins style="font-weight: bold; text-decoration: none;">></ins></div></td></tr>
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Maintenance script: Impor teks terkontrol dari Wikipedia bahasa Indonesia; revisi 28757129; atribusi sumber disertakan.
2026-08-25T17:24:04Z
<p>Impor teks terkontrol dari Wikipedia bahasa Indonesia; revisi 28757129; atribusi sumber disertakan.</p>
<p><b>Halaman baru</b></p><div>'''Masalah keenam Hilbert''' adalah upaya untuk melakukan [[aksioma|pengaksioamaan]] terhadap cabang-cabang [[fisika]] di mana [[matematika]] memainkan peranan yang menonjol. Masalah ini tercantum dalam daftar terkenal [[Masalah Hilbert]] yang ia paparkan pada tahun 1900. Dalam terjemahan bahasa Inggris yang lazim, pernyataan eksplisitnya berbunyi:<br />
<br />
:6. Perlakuan Matematis terhadap Aksioma Fisika. Penyelidikan atas dasar-dasar geometri menyingkap suatu persoalan: ''untuk memperlakukan, dengan cara serupa melalui sistem aksioma, cabang-cabang ilmu fisika di mana matematika telah memainkan peranan penting; yang utama di antaranya ialah teori peluang dan mekanika.''<br />
<br />
Hilbert kemudian memberikan penjelasan lebih lanjut mengenai permasalahan ini beserta bentuk-bentuk khusus yang mungkin diambilnya:<br />
<br />
:"Mengenai aksioma-aksioma dalam teori peluang, menurut pandangan saya, penyelidikan logis terhadapnya seyogianya disertai dengan pengembangan yang ketat dan memuaskan atas metode nilai rata-rata dalam fisika matematis, dan khususnya dalam [[teori kinetik gas]]. ... Karya [[Ludwig Boltzmann|Boltzmann]] tentang prinsip-prinsip mekanika menyiratkan masalah pengembangan secara matematis terhadap proses-proses limit yang hanya diisyaratkan olehnya, yakni proses yang menghubungkan pandangan atomistik dengan hukum-hukum gerak zat kontinu."<br />
<br />
==Catatan==<br />
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==Referensi==<br />
*<br />
*<br />
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==Pranala luar==<br />
* [http://aleph0.clarku.edu/~djoyce/hilbert/problems.html#prob6 David Hilbert, Mathematical Problems, Problem 6, in English translation].<br />
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== Sumber dan atribusi ==<br />
<br />
Konten artikel ini diadaptasi dari [https://id.wikipedia.org/w/index.php?title=Masalah+keenam+Hilbert&oldid=28757129 Wikipedia bahasa Indonesia], revisi 28757129 (2025-12-30T06:39:52Z), yang tersedia berdasarkan lisensi Creative Commons Atribusi-BerbagiSerupa (CC BY-SA). Mohon gunakan konten ini secara bijak serta sesuai dengan ketentuan lisensi yang berlaku.</div>
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