(CNN) Wisconsin Gov. Scott Walker dismissed critics who contend his lack of a college degree could be a potential liability in the White House.

The push back comes after former Democratic National Committee Chairman and Vermont Gov. Howard Dean called Walker "unknowledgeable" and said he worried about "people being president of the United States not knowing much about the world."

"That's the kind of elitist, government knows best, top-down approach we've heard for years," Walker said Tuesday during an appearance on Fox News.

The Republican's education background has been the subject of recent media reports in The Washington Post and Boston Globe , among other outlets. Walker left Marquette University in the spring of his senior year and started a job with the American Red Cross.

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