It is very probable we will discover that intelligence is likewise not a foundational singular element, but a derivative compound composed of multiple cognitive elements, combined in a complex system unique to each species of mind. The result that we call intelligence emerges from many different cognitive primitives such as long-term memory, spatial awareness, logical deduction, advance planning, pattern perception, and so on. There may be dozens of them, or hundreds. We currently don’t have any idea of what these elements are. We lack a periodic table of cognition.
The cognitive elements will more resemble the heavier elements in being unstable and dynamic. Or a better analogy would be to the elements in a biological cell. The primitives of cognition are flow states that appear in a thought cycle. They are like molecules in a cell which are in constant flux, shifting from one shape to another. Their molecular identity is related to their actions and interactions with other molecules. Thinking is a collective action that happens in time (like temperature in matter) and every mode can only be seen in relation to the other modes before and after it. It is a network phenomenon that makes it difficult to identify its borders. So each element of intelligence is embedded in a thought cycle, and requires the other elements as part of its identity. So each cognitive element is described in context of the other cognitive modes adjacent to it.