30 lines
794 B
HTML
30 lines
794 B
HTML
<h2>Numbers ⇒ Sets</h2>
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<table>
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<tr>
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<th>Numbers</th>
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<th>Set Theory (∞)/Abstract Algebra/Topology</th>
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</tr>
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<tr>
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<td>\(\mathbb{N}\): \((+,0)\)</td>
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<td>Semigroups</td>
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</tr>
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<tr>
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<td>\(\mathbb{Z}\): \((+,0,\times,1)\)</td>
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<td>Rings</td>
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</tr>
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<tr>
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<td>\(\mathbb{Q}\)</td>
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<td>Fields</td>
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</tr>
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<tr>
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<td>\(\mathbb{R}\)</td>
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<td>Complete Fields (<em class="base01">topology</em>)</td>
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</tr>
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<tr>
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<td>\(\mathbb{C}\)</td>
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<td>Algebræ</td>
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</tr>
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<tr><td></td><td>Modules,Vector Spaces, Monoids, ...</td></tr>
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</table>
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<p><span class="and" style="visibility:hidden">&</span> More <strong>general</strong>: more things are sets.<br/>
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<span class="and">&</span> More <strong>precise</strong>: clear distinction between concepts.</p>
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