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	<entry>
		<id>https://tcs.nju.edu.cn/wiki/index.php?title=Consistency_proof&amp;diff=7818</id>
		<title>Consistency proof</title>
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		<updated>2015-11-13T16:40:37Z</updated>

		<summary type="html">&lt;p&gt;217.122.85.22: contect -&amp;gt; context&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;In [[mathematics]], a [[theory]] is called &#039;&#039;&#039;consistent&#039;&#039;&#039;, if does not contain any [[contradiction]]s. In the context of [[predicate logic]] it is impossible to deduce both  &amp;lt;math&amp;gt; \varphi&amp;lt;/math&amp;gt; as well as &amp;lt;math&amp;gt;\neg \varphi&amp;lt;/math&amp;gt; from &amp;lt;math&amp;gt;\Phi&amp;lt;/math&amp;gt;&lt;br /&gt;
{{math-stub}}&lt;br /&gt;
[[Category:Logic]]&lt;/div&gt;</summary>
		<author><name>217.122.85.22</name></author>
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