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<p>is meant to serve as a foundation for <a href="page.php?w=Mathematical_analysis">analysis</a>, and (2) the infinitesimal quantities do not have concrete sizes (as opposed to the surreals, in which a typical infinitesimal is 1/?, where ? is a <a href="page.php?w=von_Neumann_ordinal">von Neumann ordinal</a>). However, smooth infinitesimal analysis differs from nonstandard analysis in its use of <a href="page.php?w=nonclassical_logic">nonclassical logic</a>, and in lacking the <a href="page.php?w=transfer_principle">transfer principle</a>. Some</p><p>
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