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<p>theory  is then called a <a href="page.php?w=theorem">theorem</a> of the theory. In many deductive systems there is usually a subset  that is called "the set of <a href="page.php?w=Axiom">axioms</a>" of the theory <a href="page.php?w=Axiom"><math>T</math></a>, in which case the deductive system is also called an "<a href="page.php?w=axiomatic_system">axiomatic system</a>". By definition, every axiom is automatically a theorem. A <b>first-order theory</b> is a set of <a href="page.php?w=first-order_logic">first-order</a> sentences (theorems) <a href="page.php?w=Recursion">recursively</a></p><p>
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