Sure, be careful to an extent, but make every attempt to stay informed lest you fall prey to the Ostrich Effect.
I hope that instead of Ostriches we become Meerkats (from Wikipedia on the Ostrich effect)
(And I hope no one else has beaten me to this gem)
A study by Gherzi et al. (2014) showed no perceivable attempt by investors to ignore or avoid negative information, but instead found that "investors increase their portfolio monitoring following both positive and daily negative market returns, behaving more like hyper-vigilant meerkats than head-in-the-sand ostriches". They dubbed this phenomenon "meerkat effect".