My Sweet Skullflower

My abject think-flesh, my sweet skullflower, what a wickedly noetic implement you are! This little thought factory inhabits a blessed vessel, a suit of meaty armour to reify its logical considerations.

How beautiful such a thing is, to produce such fine logic closed under extrinsic abstractions, when it is conceived not knowing of such rules. A transformative device, a relentless pursuer of world-borne knowledge. A biological whetstone, cyclically eliminating weakness and imperfection. Is this not the pinnacle of creation?

Bask in the brilliance of complication! Though beautiful, the wrinkled material by which our will is writ unto the universe is not flawless. The euclidian space upon which the skullflower blooms, R^∞, the artificial respite for the polymorphic mind-children, is tarnished. Frenetic thrall of moral opposition carve out chunks of the expanse with one immaterial hand, and sculpt bricks of black malice with the other. This immutable brickwork edifies violent reason. As such, the totality of misery endured by humans is on its immaterial hands!

I have suffered by it. Maddening pangs of obligation, driven by the think-engine, sought to drown me in an ocean of volumetric dejection. Thus the head is a divergent clump of matter. It is neither imperfect nor perfect; it is bitter and sweet, dirty and pure. I neither drown in the ocean nor rise from it. Fathom the permutations of this discord! Inescapable, endless limbo is our sublime prize.

For such divinity to be at odds with itself is maddening. We shall try to understand this.

\[ \begin{aligned} & \href{https://en.wikipedia.org/wiki/Set_(mathematics)}{\text{Sets:}} \\ & \mathcal{X}: \text{Set of all possible sensory inputs} \\ & \mathcal{S}: \text{Set of all possible internal states} \\ & \mathcal{T}: \text{Set of all possible thoughts} \\ & \mathcal{A}: \text{Set of all possible actions} \\ \\ & \href{https://en.wikipedia.org/wiki/Function_(mathematics)}{\text{Functions}}: \\ & T: \mathcal{X} \times \mathcal{S} \rightarrow \mathcal{T} \\ & A: \mathcal{T} \times \mathcal{X} \times \mathcal{S} \rightarrow \mathcal{A} \\ & S: \mathcal{S} \times \mathcal{T} \times \mathcal{A} \rightarrow \mathcal{S} \\ \\ & \href{https://math.libretexts.org/Bookshelves/Scientific_Computing_Simulations_and_Modeling/Introduction_to_the_Modeling_and_Analysis_of_Complex_Systems_(Sayama)/04%3A_DiscreteTime_Models_I__Modeling/401%3A_DiscreteTime_Models_with_Difference_Equations}{\text{At time step } t:} \\ & \text{Thought Generation } \href{#1}{[1]} \text{: } t_t = T(x_t, s_t) \\ & \text{Action Generation: } a_t = A(t_t, x_t, s_t) \\ & \text{State Transition: } s_{t+1} = S(s_t, t_t, a_t) \\ \\ & \text{Properties of functions:} \\ & \href{https://en.wikipedia.org/wiki/Surjective_function}{\text{Surjective}} \text{: For every } t \in \mathcal{T}, \text{ there exists } x \in \mathcal{X} \text{ and } s \in \mathcal{S} \text{ such that } T(x, s) = t \\ & \href{https://en.wikipedia.org/wiki/Bijective_function}{\text{Bijective}} \text{: For every } a \in \mathcal{A}, \text{ there exists } t \in \mathcal{T}, x \in \mathcal{X}, \text{ and } s \in \mathcal{S} \text{ such that } A(t, x, s) = a \\ & \href{https://en.wikipedia.org/wiki/Bijective_function}{\text{Bijective}} \text{: For every } s \in \mathcal{S}, \text{ there exists } t \in \mathcal{T}, a \in \mathcal{A} \text{ such that } S(s, t, a) = s' \\ \end{aligned} \]

Did you get all that? Good.