“‘And all arithmetic and calculation have to do with number?’ ‘Yes.’ ‘And they both appear to lead the mind towards truth?’ ‘Yes, in a very remarkable manner.’ Then this is knowledge of the kind for which we are seeking, having a double use, military and philosophical; for the soldier must learn the art of number or he will not know how to organize his army, and the philosopher also, because he has to rise out of the transient world and grasp reality, and therefore he must be an arithmetician.”
“Then my noble friend, geometry will draw the soul towards truth, and create the spirit of philosophy, and raise up that which is now unhappily allowed to fall down. Nothing will be more than likely to have such an effect.”–Plato,
The Republic One of the reasons why mathematics is interesting most particularly geometry is that it enables individuals to make logical deductions and connections.For example, if both pairs of opposite angles of a quadrilateral are congruent, then it follows logically that the quadrilateral is a parallelogram.
If one angle is supplementary to both consecutive angles in a quadrilateral, the quadrilateral is a parallelogram. If the diagonals of a quadrilateral bisect each other, the quadrilateral is a parallelogram. If one pair of opposite sides of a quadrilateral are both parallel and congruent, the quadrilateral is a parallelogram…………….