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essays.html
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<!DOCTYPE html>
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<title>Essays | Matthew McMillan</title>
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<h3><a href="index.html#bio">Matthew McMillan</a></h3>
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<h1>Essays</h1>
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<!-- <p>This page shares writings that are not addressed to a specific academic conversation (<em>seu</em> journal), or else are not yet ready for archiving in the great library of mankind called ‘publication’.</p> -->
</div> <!-- end .introduction -->
<div class="topic-section">
<h2 id='reflections-on-the-nature-of-mathematics'>Reflections on the Nature of Mathematics</h2>
<p>(Download links coming slowly.)</p>
<h3 id='part-i-activity-of-mathematics'>Part I: Activity of Mathematics</h3>
§ Games: technical, logical-rational, phronetic-aesthetic <br>
§ Modes: science of objects, game of rules <br>
§ Structure and Narrative: space and time <br>
§ Abstract and Concrete <br>
§ Five Archetypes: composer, performer, teacher, philosopher, puzzle-solver
<h3 id='part-ii-art-of-mathematics----language-music-code'>Part II: Art of Mathematics: music, language, code</h3>
§ Standard of Judgment: learning to play proofs <br>
§ Technique <br>
§ Depth Grammar <br>
§ Translation <br>
§ Meaning <br>
§ Exercise <br>
§ Education
<h3 id='part-iii-character-of-mathematics'>Part III: Character of Mathematics</h3>
§ Ingredients: metaphysics, language, puzzles <br>
§ Beauty and Fetish, Depth and Complexity <br>
§ Things and Parts <br>
§ Analysis and Synthesis <br>
§ Layers and Texture <br>
§ Visibility <br>
§ After Infinity
<h3 id='part-iv-evolution-and-revolution-of-mathematics'>Part IV: Evolution and Revolution of Mathematics</h3>
§ Science and Technology: Revolution and Accretion <br>
§ Application <br>
§ Industrialization: light and massive technology <br>
§ Projects, Problems, Programmes <br>
§ Circulation <br>
</div> <!-- end .topic-section -->
<div class="topic-section">
<h2 id='Wittgenstein'>Wittgenstein</h2>
<p>2017: <a href="essays-content/Wittgenstein_geometry_of_colour.pdf" target="_blank">Wittgenstein’s ‘Geometry of Colour’</a>
</div> <!-- end .topic-section -->
<div class="topic-section">
<h2 id='Science'>Philosophy of Science</h2>
<p>2016: <a href="essays-content/Structuralism_and_coordination.pdf" target="_blank">Structuralism and the Problem of Coordination</a>
<p>2016: <a href="essays-content/Symmetry_representation_and_the_hole_argument.pdf" target="_blank">Symmetry, Representation, and the Hole Argument</a>
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©Matthew McMillan 2022
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