George Boole proposed something similar in The Laws of Thought: he considered a definition of c = a/b where a = c AND b (even if he didn't write it like that).
Thus, 0/0 was an indeterminate value, and 1/0 was seen as an impossibility.
Boole's example: if m means "is mortal" and h means "is human", then saying "there is no immortal humans" is h AND NOT m = 0, and Boole explains that from it you could deduce:
m = h + 0/0 and not h
meaning "mortals are humans and something indeterminate which is not human"
here it's still George Boole trying to cram normal arithmetics into logic, but still.
I'm also appalled by why they even need to recode a radix tree themselves to filter out a DDOS, considering the many options available without reimplementing the wheel.
any serious hoster filter out ddos with a router. routers are basically build to test IP against subnets, so they can basically run each IP address against a million of hardware subnet testers all running in parallel and decide what to do depending on the result.
And if you don't have a router, any OS worth its salt already have a radix tree implementation for its routing table. The only thing you need to turn a Linux routing table into a ddos filter is to enable reverse path filtering and then add blackhole routes with iproute2.
Thus, 0/0 was an indeterminate value, and 1/0 was seen as an impossibility.
Boole's example: if m means "is mortal" and h means "is human", then saying "there is no immortal humans" is h AND NOT m = 0, and Boole explains that from it you could deduce: m = h + 0/0 and not h meaning "mortals are humans and something indeterminate which is not human"
here it's still George Boole trying to cram normal arithmetics into logic, but still.