diff --git a/Lib/inspect.py b/Lib/inspect.py
index f271992..022cc19 100644
--- a/Lib/inspect.py
+++ b/Lib/inspect.py
@@ -2402,6 +2402,16 @@
 _KEYWORD_ONLY            = _ParameterKind.KEYWORD_ONLY
 _VAR_KEYWORD             = _ParameterKind.VAR_KEYWORD
 
+_PARAM_NAME_MAPPING = {
+    _POSITIONAL_ONLY: 'positional-only',
+    _POSITIONAL_OR_KEYWORD: 'positional or keyword',
+    _VAR_POSITIONAL: 'variadic positional',
+    _KEYWORD_ONLY: 'keyword-only',
+    _VAR_KEYWORD: 'variadic keyword'
+}
+
+_get_paramkind_descr = _PARAM_NAME_MAPPING.__getitem__
+
 
 class Parameter:
     """Represents a parameter in a function signature.
@@ -2436,15 +2446,14 @@
     empty = _empty
 
     def __init__(self, name, kind, *, default=_empty, annotation=_empty):
-
-        if kind not in (_POSITIONAL_ONLY, _POSITIONAL_OR_KEYWORD,
-                        _VAR_POSITIONAL, _KEYWORD_ONLY, _VAR_KEYWORD):
-            raise ValueError("invalid value for 'Parameter.kind' attribute")
-        self._kind = kind
-
+        try:
+            self._kind = _ParameterKind(kind)
+        except ValueError:
+            raise ValueError(f'value {kind!r} is not a valid Parameter.kind')
         if default is not _empty:
-            if kind in (_VAR_POSITIONAL, _VAR_KEYWORD):
-                msg = '{} parameters cannot have default values'.format(kind)
+            if self._kind in (_VAR_POSITIONAL, _VAR_KEYWORD):
+                msg = '{} parameters cannot have default values'
+                msg = msg.format(_get_paramkind_descr(self._kind))
                 raise ValueError(msg)
         self._default = default
         self._annotation = annotation
@@ -2453,19 +2462,21 @@
             raise ValueError('name is a required attribute for Parameter')
 
         if not isinstance(name, str):
-            raise TypeError("name must be a str, not a {!r}".format(name))
+            msg = 'name must be a str, not a {}'.format(type(name).__name__)
+            raise TypeError(msg)
 
         if name[0] == '.' and name[1:].isdigit():
             # These are implicit arguments generated by comprehensions. In
             # order to provide a friendlier interface to users, we recast
             # their name as "implicitN" and treat them as positional-only.
             # See issue 19611.
-            if kind != _POSITIONAL_OR_KEYWORD:
-                raise ValueError(
-                    'implicit arguments must be passed in as {}'.format(
-                        _POSITIONAL_OR_KEYWORD
-                    )
+            if self._kind != _POSITIONAL_OR_KEYWORD:
+                msg = (
+                    'implicit arguments must be passed as '
+                    'positional or keyword arguments, not {}'
                 )
+                msg = msg.format(_get_paramkind_descr(self._kind))
+                raise ValueError(msg)
             self._kind = _POSITIONAL_ONLY
             name = 'implicit{}'.format(name[1:])
 
@@ -2736,8 +2747,12 @@
                     name = param.name
 
                     if kind < top_kind:
-                        msg = 'wrong parameter order: {!r} before {!r}'
-                        msg = msg.format(top_kind, kind)
+                        msg = (
+                            'wrong parameter order: {} parameter before {} '
+                            'parameter'
+                        )
+                        msg = msg.format(_get_paramkind_descr(top_kind),
+                                         _get_paramkind_descr(kind))
                         raise ValueError(msg)
                     elif kind > top_kind:
                         kind_defaults = False