Is mathematics an exact science?

In many sciences, we conduct experiments many times and hypothesize or  make conclusions. We can grow two groups of plants, place one group in a room with no sunlight, and place the other group outdoors. The plants inside a dim room die, and the plants in the garden live. We conclude that plants need sunlight.

But are we absolutely sure that our conclusion or hypothesis true? What about the plants under the caves that live despite the lack of sunlight? What about the plants under the sea? » Read more