Can you play a playstation 3 on a R14 Philips 42 LCD TV?

Yes very likely. If you can connect the PS3 to your TV or HDTV you can play on it. It's all about what inputs are on the TV. Look on back of the set if there are 3 (for standard 480i) to 5 (for component HD) color coded RCA inputs or an HDMI input you can use the PS3. Most HDTVs have more than one set of available inputs and some even have them on the front or side as well as the back