I think you meant we have the right to bear arms.
2nd Amendment, we have the right to arm bears or bear arms. Must not infringe.
The vast majority of hikers have no desire to carry a gun and don't want to think about some stranger camping near them in the woods with a gun. Please keep it fully concealed at all times.
Back to bears, I was in REI today and saw some pretty small Bear Assault spray canisters. If you think you might need a weapon to defend yourself against a black bear, these are a reasonable and effective option. I had one for hiking with kids in Yellowstone, but that was a Grizzly version, much bigger.