Final answer:
Philosophy is best associated with the Logical Faculty due to its critical thinking and reasoning, while Engineering aligns with the Poetic Faculty, highlighting its creativity and innovation.
Step-by-step explanation:
Based on the Greek way of thinking, the faculties that philosophy and engineering should be associated with are different due to their distinct purposes and methodologies. Philosophy, which includes the study of ethics, metaphysics, epistemology, and logic, is more suitably placed in the Logical Faculty. This is because philosophy engages in critical thinking, the pursuit of knowledge, and the formulation of reasoned arguments. On the other hand, Engineering, which applies scientific and mathematical principles to design and build structures, machines, and systems, is more aligned with the Poetic Faculty, as it requires creativity and innovation in problem-solving alongside technical proficiency. Therefore, the correct pairing would be:
Philosophy: Logical Faculty,
Engineering: Poetic Faculty
These pairings reflect the nature of both disciplines. The logical aspects of philosophy interrogate the validity and soundness of arguments, ensuring that their conclusions follow from their premises. Engineering's poetic element captures the inventive and design-oriented aspects of the field, which go beyond mere function and include elements of form and ingenuity, sometimes bordering on the aesthetic.