And it may be a just so story, but I see it as eminently plausible that humans primarily work in base 10 because, for the most part, we have 10 digits, which again would be dictated by the evolutionary process.
It sounds like a true story (note etymology of the word “digit”). But lots of human cultures used other bases (some of them still exist). Wikipedia lists examples of bases 4, 5, 8, 12, 15, 20, 24, 27, 32 and 60. Many of these have a long history and are (or were) fully integrated into their originating language and culture. So the claim that “humans work in base 10 because we have 10 digits” is rather too broad—it’s at least partly a historical accident that base 10 came to be used by European cultures which later conquered most of the world.
That’s a good point, Dan. I guess we’d have to check what the number of base 10 systems were vs. overall systems. Though I would continue to see that as again demonstrating an evolution of complex number theory, as multiple strands joined together as systems interacted with one another. There were probably plenty of historical accidents at work, like you mention, to help bring about the current system of natural numbers.
It sounds like a true story (note etymology of the word “digit”). But lots of human cultures used other bases (some of them still exist). Wikipedia lists examples of bases 4, 5, 8, 12, 15, 20, 24, 27, 32 and 60. Many of these have a long history and are (or were) fully integrated into their originating language and culture. So the claim that “humans work in base 10 because we have 10 digits” is rather too broad—it’s at least partly a historical accident that base 10 came to be used by European cultures which later conquered most of the world.
That’s a good point, Dan. I guess we’d have to check what the number of base 10 systems were vs. overall systems. Though I would continue to see that as again demonstrating an evolution of complex number theory, as multiple strands joined together as systems interacted with one another. There were probably plenty of historical accidents at work, like you mention, to help bring about the current system of natural numbers.