We continue the journey through dimensional mechanics by uncovering a deeper layer of analysis. Pairs gave us regimes; trios gave us events, which we could use to establish objective systems of units. It is now time to explore how mechanics can free us from an even more pervasive bias: our arbitrary choice of number base.
From the beginning of this series, we have been using base 10 by default—simply because we have ten fingers. But our fingers are no more legitimate than our feet to quantifying the world around us. To reach a deeper understanding of the connections between mechanics and kinematics, we must progressively move beyond subjective standards, both in how we measure and how we count. We must move past this reliance on finger-counting and instead adopt the index as our radix.