How natural is numeracy?

aeon:

Why can we count to 152? OK, most of us don’t need to stop there, but that’s my point. Counting to 152, and far beyond, comes to us so naturally that it’s hard not to regard our ability to navigate indefinitely up the number line as something innate, hard-wired into us.

Scientists have long claimed that our ability with numbers is indeed biologically evolved – that we can count because counting was a useful thing for our brains to be able to do. The hunter-gatherer who could tell which herd or flock of prey was the biggest, or which tree held the most fruit, had a survival advantage over the one who couldn’t. What’s more, other animals show a rudimentary capacity to distinguish differing small quantities of things: two bananas from three, say. Surely it stands to reason, then, that numeracy is adaptive.

But is it really? Being able to tell two things from three is useful, but being able to distinguish 152 from 153 must have been rather less urgent for our ancestors. More than about 100 sheep was too many for one shepherd to manage anyway in the ancient world, never mind millions or billions.

The cognitive scientist Rafael Núñez of the University of California at San Diego doesn’t buy the conventional wisdom that ‘number’ is a deep, evolved capacity. He thinks that it is a product of culture, like writing and architecture. ‘Some, perhaps most, scholars endorse a nativist view that numbers are biologically endowed,’ he said. ‘But I’d argue that, while there’s a biological grounding, language and cultural traits are necessary for the establishment of number itself.’

‘The idea of an inherited number sense as the unique building block of complex mathematical skill has had an unusual attraction,’ said the neuroscientist Wim Fias of the University of Gent in Belgium. ‘It fits the general enthusiasm and hope to expect solutions from biological explanations,’ in particular, by coupling ‘the mystery of human mind and behaviour with the promises offered by genetic research.’ But Fias agrees with Núñez that the available evidence – neuroscientific, cognitive, anthropological – just doesn’t support the idea.

If Núñez and Fias are right, though, where does our sense of number come from? If we aren’t born equipped with the neural capacity for counting, how do we learn to do it? Why do we have the concept of 152?