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.
Logic will get you from A to B. Imagination will take you everywhere. Albert Einstein
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
People who lean on logic and philosophy and rational exposition end by starving the best part of the mind. William Butler Yeats
The human brain works as a binary computer and can only analyze the exact information-based zeros and ones (or black and white). Our heart is more like a chemical computer that uses fuzzy logic to analyze information that can't be easily defined in zeros and ones. Naveen Jain
The fact that logic cannot satisfy us awakens an almost insatiable hunger for the irrational. A. N. Wilson