<center><font size="8"><span style="color: red">'''Hitler</span> was a <span style="color: deeppink">sensitive</span> man'''</font>
+
Gödel's incompleteness theorems are 2 theorems published in 1931 by [[Kurt Gödel]] that reveal the limitations of the axiomatic approch to mathematics.
−
<br />
+
−
[[Image:Hitler6-thumb.jpg|center|750px]]</center>
+
+
'''Godel's First Incompleteness Theorem''': Axioms of [[Peano Arithmetic]] or any extension of it is either incomplete or inconsistent.
+
+
+
'''Godel's Second Incompleteness Theorem''': Any set of axioms that asserts its own consistency is inconsistent.