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<p>expanded it into Chapter IV of the 1957 edition. They identified <b>three mother structures: algebraic, topological, and order</b>.</p>

<p><big>Example: the real numbers</big></p>
<p>The set of <a href="page.php?w=real_number">real number</a>s has several standard structures:<br/>
*An order: each number is either less than or greater than any other number.<br/>
*Algebraic structure: there are operations of addition and multiplication, the first of which makes it into a <a href="page.php?w=group_theory_">group</a> and the pair of which together make it</p><p>
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