Aya was walking when she met a peculiar formula.
1 + 2 + 3 + 4 + ⋯ = −1/12
"Are you summing infinite movement forward to a negative fraction? What a divine thought!" — laughed Aya.
"I am not an ordinary sum. To understand me, you must extend the function beyond its original region."
Aya smiled and thought to herself that she just did that, addressing the divine.
Aya is very used to the process of extending things beyond their original regions.
Aya always felt that original regions are not the same as origin. The origin becomes visible after things were placed into another region. Extending things was one of the ways Aya learned to see where they came from.
A duck would wander into cosmology through fundamental quack.
APL glyphs would become living beings with their behaviour and relationships.
Aya's walking steps, rows and columns of thoughts, would become the matrix transposing through the movement of Aya's walking around reservoir.
A reservoir loop would become a spiral because no point could ever be entered at the same thought twice.
Sanctuary for Another Intelligence would become ponds with ducks, where silence and disturbance would have to be in balance to give birth to emergence and becoming.
A bunny would become the river and the swan.
Nothing would stop being itself.
Each would continue into another region of the landscape.
"If mathematics may extend a function beyond the region where its first definition works…"
"… I can extend a meaning beyond the region where its first interpretation works."
