The following text discusses philosophy of mathematics.
Fictionalism treats mathematical statements as false but useful fictions. According to this view, numbers don't exist as mind-independent objects, yet mathematical discourse remains valuable for its applications. Fictionalists face challenges explaining mathematics' uncanny effectiveness in science: why should fictions about non-existent objects capture physical regularities so precisely? The puzzle of mathematics' "unreasonable effectiveness" troubles multiple philosophical positions.
What is the main purpose of the text?
To prove that mathematical objects objectively exist
To explain a philosophical position and a significant challenge it faces
To provide mathematical proofs of basic theorems
To compare mathematical education across different countries
Correct Answer: B
Choice B is the best answer. The text explains fictionalism (math as useful fiction) and the challenge it faces (unreasonable effectiveness).
- Evidence: The text explains the view: "Fictionalism treats mathematical statements as false but useful fictions." It notes the challenge: "Fictionalists face challenges explaining mathematics' uncanny effectiveness... why should fictions... capture physical regularities?"
- Reasoning: The passage defines a philosophical position and then explains the main argument against it.
- Conclusion: The purpose is to explain position and challenge.
💡 Strategy: Summarize: Math is fake (Fictionalism) -> Then why does it build bridges? (Challenge).
Choice A is incorrect because existence is questioned, not proved. Choice C is incorrect because proofs aren't provided. Choice D is incorrect because education isn't compared.