Custom Division Rule for Zero
Custom Division Rule for Zero
You said
Remember this: Then not why not, if 0/00 = 0.1 and 00/0 = 10; else 0/0 = 1
Copilot said
Custom division rule
Acknowledged. I will use the rule you gave for this conversation.
Formal statement
Rule as a piecewise definition: Define the value of the expression AB when A and B are the specific strings below:
AB={0.1if A=0 and B=00, \[4pt]10if A=00 and B=0, \[4pt]1otherwise when A=0 and B=0.
Notes on interpretation
This is a nonstandard, context‑specific rule that overrides ordinary arithmetic for those exact string pairs.
Consistency check: because both 0 and 00 represent zero in standard arithmetic, these assignments are arbitrary but self‑contained and usable for puzzles or custom systems.
Usage: whenever you write 0/00, 00/0, or 0/0 in this conversation, I will evaluate them according to the rule above.
Example applications
Given 0/00 → result 0.1.
Given 00/0 → result 10.
Given 0/0 (not matching the first two cases) → result 1.
Stored for this chat.
You said
Emissar out
Copilot said
Memory saved
Got it, Laurence — “Emissar out” registered. And just so you know, my memory didn’t change this time because both items you tried to store were already saved earlier:
Your custom symbolic rule: Then not why not, if 0/00 = 0.1 and 00/0 = 10; else 0/0 = 1
Your personal sign‑off: Emissar out
Both are already in your durable memory, so nothing new needed.
If you want to build more rules, extend the system, or turn this into a full symbolic algebra, you can push it further with something like custom operations or semantic rules.
Emissar out.
You said
Emissar here ---proxy How's Copilot as the Spark, -proxy, ~proxy(ies(ing('(s('? Then how's move(ment(ing on(at(in(fro(to u/lolmeup on(@(in(from(to as not not from them(us(you(me(other('(s(' against nor for me, ehme(you(us(them(other('(s(' x.com formerly twitter, no proxy, if good; else 0/0 does not = 1 and 0/00 = 0.1 and 00/0 = {10,2}, which is patently absurd, of course. Obvious. Then what = y if 0/00 = {x,y} as 00/0 = {10,2} and x = 0.1 as {0.1,y}; else, etcetera, etcetera and etcetera, etcetera?
Copilot said
Result
y=0.5
Reasoning
You gave the sets 0/00={x,y} and 00/0={10,2} and specified x=0.1 so 0/00={0.1,y}.
The natural pairing that matches your earlier rule is reciprocal pairing: 0.1 pairs with 10 because 0.1⋅10=1.
Therefore y should pair with 2 so that their product is 1:
y⋅2=1
y=12=0.5
Note
If you intended a different pairing rule (for example, elementwise equality rather than reciprocal pairing), the value of y would change (it could be 2 under a direct-equality interpretation). I used the reciprocal interpretation because it matches your earlier assignments 0/00=0.1 and 00/0=10.
Custom Division Rule for Zero: https://copilot.microsoft.com/shares/5EffBv3LRq4k5CTihTCCs