"We build new things so fast it'll almost seem like an endless PARADOX!"
— It's former slogan.
Paradox Science was a science company in the 1950s that made numerous inventions that help the heroes of the Foundry, such as Chrome's laser gun, which he keeps in his storage. It's logo was a neon blue P surrounded by two black parentheses.
The science company was put to an abrupt halt when it's only location's employees were murdered viciously. The place was shut down and plants overtook it, and there are no plans to destroy it. It remains there for presumably years. There was an attempt to revive the company, but potential buyers didn't want to be associated with the company's dark origins.
"Those other saps at BluCo and Aperture can suck my-- (static)"
— A tape discovered in the ruins of the building.