Identifying the Author of the Problem-Solving Statement

The question asks us to identify the person who made the specific statement: "A problem that has been presented represents an outpost where the unknown has to be reached after a simple battle." This statement describes a view on the nature of a problem, suggesting it's a point from which we venture into the unknown, facing challenges ('a simple battle') to reach a solution.

Let's look at the provided options and consider who might be associated with such a perspective on problems:

• George Polya: Known for his work on problem-solving strategies, particularly in mathematics. His book "How to Solve It" is famous for outlining steps like understanding the problem, devising a plan, carrying out the plan, and looking back.
• N. J Fine: An American mathematician known for his work in various areas including number theory and analysis. He is also associated with discussions on the nature of mathematical problems and problem-solving.
• Jean Piaget: A developmental psychologist known for his theory of cognitive development in children. His work focuses on how children construct knowledge and understanding of the world through stages.
• Richard Skamp: An educator known for his work in science education, particularly focusing on teaching strategies and inquiry-based learning.

The statement provided is a specific quote attributed to N. J Fine. This quote is sometimes used in discussions about problem-solving, especially in mathematics or education contexts, to illustrate the challenging but traversable nature of a problem.

Therefore, based on the attribution of this particular statement, the correct author is N. J Fine.