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  <id>6686</id>
  <path>/www/nrich/html/content/id/6686/</path>
  <resourceTypeID>1</resourceTypeID>
  <last_published>2011-06-14T13:13:21</last_published>
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&lt;mdoxml version=&quot;1.0&quot;&gt;&lt;p&gt;This resource has been moved to &lt;a href=&quot;http://nrich.maths.org/6384&quot;&gt;http://nrich.maths.org/6384&lt;/a&gt;&lt;/p&gt;&lt;/mdoxml&gt;</indexXML>
  <solutionXML/>
  <noteXML/>
  <clueXML/>
  <canonXML/>
  <end_user_role>2</end_user_role>
  <difficulty>3</difficulty>
  <keystage1>0</keystage1>
  <keystage2>0</keystage2>
  <keystage3>0</keystage3>
  <keystage4>0</keystage4>
  <keystage4plus>1</keystage4plus>
  <title>Dodgy proofs</title>
  <description>What is wrong with these dodgy proofs?</description>
  <spec_group>Using, Applying and Reasoning about Mathematics
    <specifier>Proof by exhaustion</specifier>
  </spec_group>
  <spec_group>Using, Applying and Reasoning about Mathematics
    <specifier>Proof by contradiction</specifier>
  </spec_group>
  <spec_group>Using, Applying and Reasoning about Mathematics
    <specifier>Disproof by counterexample</specifier>
  </spec_group>
  <spec_group>Using, Applying and Reasoning about Mathematics
    <specifier>Converse of theorem and inverse</specifier>
  </spec_group>
  <spec_group>Using, Applying and Reasoning about Mathematics
    <specifier>Mathematical reasoning &amp; proof</specifier>
  </spec_group>
</resource>