diff --git a/papers/paper.tex b/papers/paper.tex
index 59f8177..de5c8c8 100644
--- a/papers/paper.tex
+++ b/papers/paper.tex
@@ -129,7 +129,7 @@
     Another important problem is defining the word "effective".
     I suppose that "effective" would mean capable of solving fluid analogy problems, producing similar answers to an identically biased human.
     However, it isn't clear to me that removing temperature increases the ability to solve problems effectively.
-    Is this because models are aloud to have centralized structures, or because temperature isn't the only centralized structure?
+    Is this because models are allowed to have centralized structures, or because temperature isn't the only centralized structure?
 
     Clearly, creating a model of copycat that doesn't have centralized structures will take an excessive amount of effort.
 
@@ -199,8 +199,6 @@ Values beneath $1.05$ essentially leave probabilities unaffected, producing no s
 
 \lstinputlisting[language=Python]{formulas/best.py}
 
-\newline
-
 Random thought:
 It would be interesting to not hardcode the value of $r$, but to instead leave it as a variable between $0$ and $2$ that changes depending on frustration.
 However, this would be much like temperature in the first place....?