<div style="margin: 12px 0px; font-family: arial; color: #333333; background: #ffffff; border: solid 4px #e5e5e5; width: 100%; clear: left;"><div class="CM_CTB_Content_Wrap" style="margin: 0px; padding: 0px;background-color: #ffffff;"><div style="border-bottom: solid 1px #dcdcdc; white-space: nowrap; margin-bottom: 8px; background-color: #eeeeee ;background-image: url(http://clipmarks.com/images/source-bg.gif); background-repeat: repeat-x; height: 24px; line-height: 24px; vertical-align: middle; padding-bottom: 4px; color: #666666; font-size: 10px;" ><a href="http://clipmarks.com/clip-to-blog/" title="see clips that are hot right now"><img src="http://content.clipmarks.com/blog_embed/de65742c-33c2-4b6f-a686-5d2aed0caaab/70F0FF72-6D0E-4B43-8A91-E3778EDD76B7/" alt="" width="19" height="19" border="0" style="vertical-align: middle; margin: 0px 4px; display: inline; border: none; float:none;" /></a>clipped from <a title="http://humanknowledge.net/Thoughts.html" href="http://humanknowledge.net/Thoughts.html" style="font-size: 11px;">humanknowledge.net</a></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://humanknowledge.net/Thoughts.html"><B>Mathematics</B>: the study of necessary truths about inference, order, quantity, and relation.</blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://humanknowledge.net/Thoughts.html"><OL> <li style="margin-left:16px;padding-left: 0px;"> <B><A href="#Logic">Logic</A></B>: the study of valid inference.</LI> <li style="margin-left:16px;padding-left: 0px;"> <B><A href="#SetTheory">Set Theory</A></B>: the study of sets and the most basic operations on them.</LI> <li style="margin-left:16px;padding-left: 0px;"> <B><A href="#Algebra">Algebra</A></B>: the study of operations on sets of numbers and symbols representing them.</LI> <li style="margin-left:16px;padding-left: 0px;"> <B><A href="#Geometry">Geometry</A></B>: the study of transformations of sets of points in space.</LI> <li style="margin-left:16px;padding-left: 0px;"> <B><A href="#Analysis">Analysis</A></B>: the study of infinite processes as they approach limits.</LI> <li style="margin-left:16px;padding-left: 0px;"> <B><A href="#Combinatorics">Combinatorics</A></B>: the study of selection and arrangement within finite sets.</LI> <li style="margin-left:16px;padding-left: 0px;"> <B><A href="#AppliedMathematics">Applied Mathematics</A></B>: the study of the sampling or processing of information.</LI> </OL></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://humanknowledge.net/Thoughts.html"><FONT size="-0">Mathematical objects exist only in the axioms and rules that imply them and in the minds that consider them.</FONT></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://humanknowledge.net/Thoughts.html"><P>Humans have proposed various theories about the nature and basis of mathematics. </P></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://humanknowledge.net/Thoughts.html"><B>Why Math Works</B></blockquote></div><div style="margin: 0px 6px 6px 4px;"><table style="font-size: 11px;border-spacing: 0px;padding: 0px;" cellpadding="0" cellspacing="0" width="100%"><tr><td style="background:transparent;border-width:0px;padding:0px;">&nbsp;</td><td align="right" style="background:transparent;border-width:0px;padding:0px;width:107px" width="107"><a href="http://clipmarks.com/share/70F0FF72-6D0E-4B43-8A91-E3778EDD76B7/blog/" title="blog or email this clip"><img src="http://content8.clipmarks.com/images/c2b-foot.png" border="0" alt="blog it" width="107" height="17" style="border-width:0px;padding:0px;margin:0px;" /></a></td></tr></table></div></div>

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