Add tables of contents to posts
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</section>
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<section>
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<h2 id="introduction">Introduction</h2>
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<h2>Table of Contents</h2><ul>
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<li><a href="#introduction">Introduction</a></li>
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<li><a href="#the-axioms">The Axioms</a></li>
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<li><a href="#addition">Addition</a><ul>
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<li><a href="#commutativity">Commutativity</a></li>
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<li><a href="#associativity">Associativity</a></li>
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<li><a href="#identity-element">Identity element</a></li>
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</ul></li>
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<li><a href="#going-further">Going further</a></li>
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<li><a href="#references">References</a></li>
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</ul>
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<h2 id="introduction">Introduction</h2>
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<p>I have recently bought the book <em>Category Theory</em> from Steve Awodey <span class="citation" data-cites="awodeyCategoryTheory2010">(Awodey <a href="#ref-awodeyCategoryTheory2010">2010</a>)</span> is awesome, but probably the topic for another post), and a particular passage excited my curiosity:</p>
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<blockquote>
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<p>Let us begin by distinguishing between the following things: i. categorical foundations for mathematics, ii. mathematical foundations for category theory.</p>
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