The phrase "at that level of intellect" is correct and usable in written English.
It can be used when discussing someone's cognitive abilities or the complexity of a subject in relation to intelligence.
Example: "The problem was too complex for the students at that level of intellect to grasp fully."
Alternatives: "at that degree of intelligence" or "at that intellectual capacity".
As teachers, we often focus on the lowest level of intellect, that of knowledge or "recall".
That's a huge, untapped demographic for us and it'd be nice to write for people at or around our same level of intellect, maturity, and tableside manners.
He tells of his stint at "probably the best-managed bank in the world," where he learned from people "with a different level of intellect" who did not care what party anyone belonged to.
Likewise, expensive educations from Ivy League schools represented not just a level of intellect or achievement, but an aura of excellence one can derive from investing in a trusted academic institution that came with a built-in reputation.
"They [the followers of Alexander] maintain that the material intellect is capable of immortality and subsistence when it reaches that level of perfection where the objects of knowledge that it apprehends are themselves intellects, in particular the Agent Intellect…[material intellect] is immortal when it is united with the Agent Intellect" (Wars, I.8, p. 170).
It means that Catholic ideas do not stay at the level of the intellect, they animate behavior; they enable critical thinking about actual human questions, such as how you spend your money, manage your hurt feelings, direct your desires, how you vote.
The other major difference with a city job is that you have to learn to interact with all levels of intellect and ability.
"The levels of intellect and talent in that team are catastrophic," the former France captain Jean-Michel Larqué commented.
We live in a moment of levelling: levelling of intellect, of politics, of discourse.
