This is one, from http://www.apple.com/opensource:
As the first major computer company to make Open Source development a key part of its ongoing software strategy, Apple remains committed to the Open Source development model.
Not only is the overall statement false, but so is each component.
Apple believes that using Open Source methodology makes Mac OS X a more robust, secure operating system, as its core components have been subjected to the crucible of peer review for decades. Any problems found with this software can be immediately identified and fixed by Apple and the Open Source community.
If you believe this (which you should), then please apply the same lesson to the iPhone and iPad, which currently threaten people with jail time under the DMCA if they attempt to fix a bug.