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Over the last five years, I've been researching the question of where our numerals come from, including the Eastern (as contrasted with the older Maya) zero, which has taken me to Cambodia.
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As the result, the following issue was clarified in our numeral simulations.
Like this chart, it is difficult to obtain a better Pareto front which has enough quality in aspects of "convergence", "uniformity" and "extensity" in our numeral simulations with these simulations.
India, as many Indians will readily brag, was once a huge world power, one of the most advanced cultures on the planet, the discoverer of zero, the creator of our numeral system, the inventor of chess.
But our approximate number sense remains non-linear even though our understanding of numerals is linear.
Adult humans estimating large numbers of items show increasing errors for proportionately smaller differences, but our accuracy using numerals is almost entirely independent of number magnitude, i.e. it is linear.
Our linear understanding of numerals is distinct from our approximate number sense in other ways: Most of us know instantly that 99 cents is more than 98 cents without imagining two piles of pennies and mentally comparing them that kind of associative link would be less accurate and slower than people normally are.
The second posterior positivity (P2p) component showed a greater positivity for Arabic numerals closer to our comparison numerical standard of five as compared to those further away, replicating previous findings [ 12, 20].
The omission of numerals on our coins is extremely unfriendly to visitors to the United States.
Instead of a wedding ring, my wife and I both have the date tattooed in Roman numerals on our wrists.
Our monkeys' associations between numerals and numerosities show some of the same hallmarks of the link between humans' approximate and symbolic number systems.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com