The science or art of exact reasoning, or of pure and formal thought, or of the laws according to which the processes of pure thinking should be conducted; the science of the formation and application of general notions; the science of generalization, judgment, classification, reasoning, and systematic arrangement; correct reasoning.
Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality. Richard Courant
Logic will get you from A to B. Imagination will take you everywhere. Albert Einstein
When dealing with people, remember you are not dealing with creatures of logic, but creatures of emotion. Dale Carnegie
We especially need imagination in science. It is not all mathematics, nor all logic, but it is somewhat beauty and poetry. Maria Montessori