diff --git a/docs/paths.md b/docs/paths.md
index 2bfc9b0..ac60d86 100644
--- a/docs/paths.md
+++ b/docs/paths.md
@@ -64,7 +64,7 @@ intended. Paths can be created from text with slashes using
 - [`func owner(path: Path, follow_symlinks=yes -> Text?)`](#owner)
 - [`func parent(path: Path -> Path)`](#parent)
 - [`func read(path: Path -> Text?)`](#read)
-- [`func read_bytes(path: Path -> [Byte]?)`](#read_bytes)
+- [`func read_bytes(path: Path, limit: Int? = none -> [Byte]?)`](#read_bytes)
 - [`func relative_to(path: Path, relative_to=(./) -> Path)`](#relative_to)
 - [`func remove(path: Path, ignore_missing=no -> Void)`](#remove)
 - [`func resolved(path: Path, relative_to=(./) -> Path)`](#resolved)
@@ -726,10 +726,11 @@ Reads the contents of the file at the specified path or a null value if the
 file could not be read.
 
 ```tomo
-func read_bytes(path: Path -> [Byte]?)
+func read_bytes(path: Path, limit: Int? = none -> [Byte]?)
 ```
 
 - `path`: The path of the file to read.
+- `limit`: A limit to how many bytes should be read.
 
 **Returns:**  
 The byte contents of the file. If the file cannot be read, a null value will be
diff --git a/src/typecheck.c b/src/typecheck.c
index e417650..4341748 100644
--- a/src/typecheck.c
+++ b/src/typecheck.c
@@ -108,12 +108,13 @@ type_t *parse_type_ast(env_t *env, type_ast_t *ast)
         arg_t *type_args = NULL;
         for (arg_ast_t *arg = fn->args; arg; arg = arg->next) {
             type_args = new(arg_t, .name=arg->name, .next=type_args);
-            if (arg->type) {
+            if (arg->type)
                 type_args->type = parse_type_ast(env, arg->type);
-            } else {
-                type_args->default_val = arg->value;
+            else if (arg->value)
                 type_args->type = get_type(env, arg->value);
-            }
+
+            if (arg->value)
+                type_args->default_val = arg->value;
         }
         REVERSE_LIST(type_args);
         return Type(ClosureType, Type(FunctionType, .args=type_args, .ret=ret_t));
diff --git a/test/nums.tm b/test/nums.tm
index e36ae57..285614d 100644
--- a/test/nums.tm
+++ b/test/nums.tm
@@ -22,34 +22,36 @@ func main():
 	>> Num.INF:isinf()
 	= yes
 
-	>> nan : Num = none
+	>> none_num : Num? = none
 	= none
-	>> nan == nan
+	>> none_num == none_num
 	= yes
-	>> nan < nan
+	>> none_num < none_num
 	= no
-	>> nan > nan
+	>> none_num > none_num
 	= no
-	>> nan != nan
+	>> none_num != none_num
 	= no
-	>> nan <> nan
+	>> none_num <> none_num
 	= Int32(0)
-	>> nan == 0.0
+	>> none_num == 0.0
 	= no
-	>> nan < 0.0
+	>> none_num < 0.0
 	= yes
-	>> nan > 0.0
+	>> none_num > 0.0
 	= no
-	>> nan != 0.0
+	>> none_num != 0.0
 	= yes
-	>> nan <> 0.0
+	>> none_num <> 0.0
 	= Int32(-1)
 
-	>> nan + 1
-	= none
+	# >> nan + 1
+	# = none
 
 	>> 0./0.
-	= none
+
+	# >> 0./0.
+	# = none
 
 	>> Num.PI:cos()!:near(-1)
 	= yes
diff --git a/test/paths.tm b/test/paths.tm
index 4f05348..72cac24 100644
--- a/test/paths.tm
+++ b/test/paths.tm
@@ -36,9 +36,9 @@ func main():
         fail("Couldn't read lines in $tmpfile")
 
     >> (./does-not-exist.xxx):read()
-    = none : Text
+    = none
     >> (./does-not-exist.xxx):read_bytes()
-    = none : [Byte]
+    = none
     if lines := (./does-not-exist.xxx):by_line():
         fail("I could read lines in a nonexistent file")
     else: