In a posting to Twitter's official blog, Stone dismissed the reports of an imminent acquisition with the phrase "sometimes we talk".
"It should come as no surprise that Twitter engages in discussions with other companies regularly and on a variety of subjects," wrote Stone. "Our goal is to build a profitable, independent company and we're just getting started."
Reports last week claimed that Twitter was in the late stages of working out a deal with Google. The figure involved was upwards of $250m (£170m).
Twitter has enjoyed a meteoric rise to become one of the most popular social networking sites on the web, but many in the industry have questioned the company's revenue model.
In an effort to generate more revenue, the company has undertaken a number of new projects such as improving search results and tracking topic trends.
So-called ghost galaxies aren't necessarily small but can be difficult to detect due to their very low star power
Ironically, solar panels installed in the colder north are the most affected by hot spots
The Mars Opportunity rover captured the images on its 5,000th day on the Red Planet
The galaxy is losing its hydrogen and the ability to form new stars