Defending Joe Wilson's outburst (content, at least) in a syllogism:
1) Obama said "the reforms I’m proposing would not apply to those who are here illegally."
2) Obama's proposal, from his own website, states: "Barack Obama and Joe Biden will guarantee affordable, accessible health care coverage for all Americans. Currently, there are over 45 million Americans lacking health insurance."
3) The U.S. Census Bureau report on Income, Poverty, and Health Insurance Coverage in the United States: 2007 lists 45.6 million Americans without health insurance, including illegal immigrants. (This is the report that the Obama document references, by the way.)
4) Looking at the numbers, it is clear that illegal immigrants are counted under Obama's definition of "Americans."
Obama promises health care coverage for all Americans.
Those who are here illegally are considered Americans.
Therefore, Obama promises health care coverage for those who are here illegally.