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		<title>Logic/Necessity and sufficiency - Revision history</title>
		<link>http://en.iwschool.org/wiki/index.php?title=Logic/Necessity_and_sufficiency&amp;action=history</link>
		<description>Revision history for this page on the wiki</description>
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			<title>Admin at 08:36, 23 May 2014</title>
			<link>http://en.iwschool.org/wiki/index.php?title=Logic/Necessity_and_sufficiency&amp;diff=3340&amp;oldid=prev</link>
			<description>&lt;p&gt;&lt;/p&gt;

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		&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;← Older revision&lt;/td&gt;
		&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Revision as of 08:36, 23 May 2014&lt;/td&gt;
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		&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 6:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 6:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* [[wikipedia:Propositional_calculus|Propositional calculus]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* [[wikipedia:Propositional_calculus|Propositional calculus]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* [[wikipedia:Necessary_and_sufficient_conditions|Necessary and sufficient conditions]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* [[wikipedia:Necessary_and_sufficient_conditions|Necessary and sufficient conditions]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;== Overview ==&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;* Necessary : If &amp;quot;α→β&amp;quot; then &amp;quot;β is necessary for α&amp;quot;.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;* Sufficient : If &amp;quot;α→β&amp;quot; then &amp;quot;α is sufficient for β&amp;quot;.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;* Necessary and sufficient : If &amp;quot;α⇔β&amp;quot; then &amp;quot;α is necessary and sufficient for β&amp;quot;.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;== CAI Exercise ==&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;== CAI Exercise ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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			<pubDate>Fri, 23 May 2014 08:36:36 GMT</pubDate>			<dc:creator>Admin</dc:creator>			<comments>http://en.iwschool.org/wiki/Talk:Logic/Necessity_and_sufficiency</comments>		</item>
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			<title>Admin:&amp;#32;Created page with 'Logic &gt; Necessity and sufficiency  == Contents ==  * Category:Mathematical logic（Wikipedia）   * [[wikipedia:Propositional_calcul…'</title>
			<link>http://en.iwschool.org/wiki/index.php?title=Logic/Necessity_and_sufficiency&amp;diff=3324&amp;oldid=prev</link>
			<description>&lt;p&gt;Created page with &amp;#39;&lt;a href=&quot;/wiki/Logic&quot; title=&quot;Logic&quot;&gt;Logic&lt;/a&gt; &amp;gt; Necessity and sufficiency  == Contents ==  * &lt;a href=&quot;http://en.wikipedia.org/wiki/Category:Mathematical_logic&quot; class=&quot;extiw&quot; title=&quot;wikipedia:Category:Mathematical logic&quot;&gt;Category:Mathematical logic（Wikipedia）&lt;/a&gt;   * [[wikipedia:Propositional_calcul…&amp;#39;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;[[Logic]] &amp;gt; Necessity and sufficiency&lt;br /&gt;
&lt;br /&gt;
== Contents ==&lt;br /&gt;
&lt;br /&gt;
* [[wikipedia:Category:Mathematical logic|Category:Mathematical logic（Wikipedia）]]  &lt;br /&gt;
* [[wikipedia:Propositional_calculus|Propositional calculus]]&lt;br /&gt;
* [[wikipedia:Necessary_and_sufficient_conditions|Necessary and sufficient conditions]]&lt;br /&gt;
&lt;br /&gt;
== CAI Exercise ==&lt;br /&gt;
&lt;br /&gt;
*[[cai_en:EDULOG00010008|Go to CAI Exercise page]]&lt;br /&gt;
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[[en:Logic/Necessity and sufficiency]]&lt;br /&gt;
[[ja:論理学/必要条件と十分条件]]&lt;/div&gt;</description>
			<pubDate>Fri, 23 May 2014 04:28:59 GMT</pubDate>			<dc:creator>Admin</dc:creator>			<comments>http://en.iwschool.org/wiki/Talk:Logic/Necessity_and_sufficiency</comments>		</item>
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