diff -r c82e3a6553fc Lib/socket.py
--- a/Lib/socket.py	Fri Sep 07 08:34:23 2012 +0200
+++ b/Lib/socket.py	Sun Sep 09 00:47:54 2012 +0100
@@ -324,12 +324,23 @@
     def readable(self):
         """True if the SocketIO is open for reading.
         """
-        return self._reading and not self.closed
+        if self.closed:
+            raise ValueError("I/O operation on closed socket.")
+        return self._reading
 
     def writable(self):
         """True if the SocketIO is open for writing.
         """
-        return self._writing and not self.closed
+        if self.closed:
+            raise ValueError("I/O operation on closed socket.")
+        return self._writing
+
+    def seekable(self):
+        """True if the SocketIO is open for seeking.
+        """
+        if self.closed:
+            raise ValueError("I/O operation on closed socket.")
+        return super().seekable()
 
     def fileno(self):
         """Return the file descriptor of the underlying socket.
diff -r c82e3a6553fc Lib/test/test_socket.py
--- a/Lib/test/test_socket.py	Fri Sep 07 08:34:23 2012 +0200
+++ b/Lib/test/test_socket.py	Sun Sep 09 00:47:54 2012 +0100
@@ -1245,6 +1245,17 @@
             fp.close()
             self.assertEqual(repr(fp), "<_io.BufferedReader name=-1>")
 
+    def test_unusable_closed_socketio(self):
+        with socket.socket() as sock:
+            fp = sock.makefile("rb", buffering=0)
+            self.assertTrue(fp.readable())
+            self.assertFalse(fp.writable())
+            self.assertFalse(fp.seekable())
+            fp.close()
+            self.assertRaises(ValueError, fp.readable)
+            self.assertRaises(ValueError, fp.writable)
+            self.assertRaises(ValueError, fp.seekable)
+
     def test_pickle(self):
         sock = socket.socket()
         with sock: