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<p>topology, particularly for establishing his <a href="page.php?w=Brouwer_fixed-point_theorem">fixed-point theorem</a> and the <a href="page.php?w=Invariance_of_domain">topological invariance of dimension</a>.</p>

<p>Brouwer also became a major figure in the <a href="page.php?w=Philosophy_of_mathematics">philosophy</a> of <a href="page.php?w=intuitionism">intuitionism</a>, a <a href="page.php?w=constructivism_%28math%29">constructivist</a> school of mathematics which argues that mathematics is a <a href="page.php?w=Cognition">cognitive</a> <a href="page.php?w=Construct_%28philosophy%29">construct</a></p><p>
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