Richard Hamming suggested that, like sounds we cannot hear, there could be thoughts we cannot think.
But how do we even know about such sounds? We build tools which adapt unhearable sounds to our human senses.
Likewise, thinking tools adapt unthinkable thoughts to our human minds. Two of the greatest such tools are writing and mathematical notation.
To build a thinking tool, it helps to understand how people think. Jerome Bruner considered three mentalities — interactive, visual, and symbolic.
Pencil-and-paper constrained us to mostly simple symbolic representations. In the new medium, representations can draw on all three mentalities simultaneously.