Final answer:
Mathematics and logic are both studies of possibilities and reasoning, but they have distinct focuses. Mathematics is the study of numbers and mathematical relations, while logic is the study of proper reasoning.
Step-by-step explanation:
Mathematics and logic are both studies of possibilities and involve reasoning, but they have distinct focuses. Mathematics is the study of numbers, quantities, and mathematical relations, and it uses logic to deduce and prove mathematical truths. Logic, on the other hand, is the study of proper reasoning and can be applied to various subjects, including mathematics, to derive better answers and discover truth.
While mathematics relies heavily on logical reasoning, it also involves specific rules and functions for calculations. Logic, on the other hand, deals with reasoning in a broader sense and encompasses various forms of reasoning, including induction, deduction, and abduction. So, while both subjects involve studying possibilities and reasoning, mathematics is more focused on numerical relationships and calculations, while logic provides the tools for proper reasoning across different domains.