What is logic and what is mathematics?

The Merriam-Webster Dictionary defines logic as follows: a science that deals with the principles and criteria of inference and demonstration: the science of the formal principles of reasoning

mathematics is the science of abstract structures and patterns, constructed out of different statements, which need to be proven true

You are in possesion of a card set. On one side there is a shape, a circle or a triangle. On the other side there is a colour, blue or yellow. There is one rule: If there is a circle on one side of a card, then the other side is blue. You have four cards placed on a surface next to each other, one depicting a circle, one a triangle, one is blue and one is yellow.Which card or cards do you need to turn around in order to confirm the abovementioned rule?

bodily-kinesthetic:::linguistic:::visual-spatial:::personal intelligences:::musical