Math 4 Wisdom. "Mathematics for Wisdom" by Andrius Kulikauskas.

Understand finite fields and what {$F_{1^n}$} could mean.

Understand the structure of finite fields

Relate them to Lyndon words and symmetric functions of eigenvalues.
Consider what "infinity" Q means in a finite field. Then consider what happens to Q as we take q to infinity.
In the equation for the Riemann formula, where it allows for powers of prime and weights them, is it related to finite fields?

Compare finite field behavior (division winding around) with complex number behavior (winding around).
Sieja nepažymėtą priešingybę (+) -1, 0, 1 ir pažymėtą priešingybę (x) -1, 1.
W: Field with one element
The nonexistent element of {$F_1$} may be considered to not exist, or imagined to exist, but regardless, I expect that cognitively there are three ways to interpret it as 0, 1, ∞, which thereby expand upon the duality between existence and nonexistence and make it structurally richer.
Relate elliptic transforms to God's dance {0, 1, ∞} and {$F_1$}: There are 3 representatives fixing {0, 1, ∞}, which are the three transpositions in the symmetry group of these 3 points: {$1 / z$}, which fixes 1 and swaps 0 with ∞ (rotation by 180° about the points 1 and −1), {$1 − z$} which fixes ∞ and swaps 0 with 1 (rotation by 180° about the points 1/2 and ∞), and {$z / ( z − 1 )$} which fixes 0 and swaps 1 with ∞ (rotation by 180° about the points 0 and 2). Note that this relates pairs from: 1, z, z-1.
Study how turning the counting around relates to cycles - finite fields.