How did the abstract idea of a number develop separately from counting particular objects?

The development of the abstract concept of number was a gradual process that occurred long after humans first learned to count. Initially, counting was tied to physical objects; early records relied on tally systems using pebbles, sticks, or notches on bones and stones.12

In these early stages, vocal sounds used to designate quantities were likely specific to the type of object being counted. The transition to an abstract notion of number—where a sound or symbol represents a quantity independent of any specific object—occurred very late in human history.1

As societies became more complex, the need for more sophisticated systems grew, leading to the development of numeral systems that could represent larger quantities. However, even as these systems evolved, a clear distinction between numbers and physical magnitudes persisted for centuries. It was not until much later, through the work of mathematicians like Simon Stevin, that the distinction between number and magnitude was fully abolished, allowing for a unified, abstract conception of numbers applicable across diverse fields.134