What is the ontological status of numbers in ontology?

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What is the ontological status of numbers in ontology?

The ontological status of numbers in ontology is a subject of debate among philosophers. There are different philosophical positions regarding the nature of numbers. Some philosophers argue that numbers have an objective existence and are independent of human thought or perception. This view is known as Platonism, which posits that numbers exist in a non-physical realm. On the other hand, other philosophers argue that numbers are constructs of human thought and language, and therefore have a subjective or conceptual existence. This view is known as nominalism or conceptualism. Additionally, there are also intermediate positions, such as fictionalism, which suggests that numbers are useful fictions or abstract entities that do not have a concrete existence but are still valuable for mathematical reasoning. Ultimately, the ontological status of numbers remains a complex and ongoing philosophical inquiry.