OK, I get that this is a wildly crazily speculative discussion but how does anyone imagine intelligent life that doesn't have a concept of pi in some form? Pi is everywhere in math and science.
Maybe you imagine an alien life far more advanced than I do.
Before then we didn't know Pi.
Do do we currently know Pi? Even that might be arguable?
https://en.m.wikipedia.org/wiki/Bailey%E2%80%93Borwein%E2%80...
In the case of 4/6 and 6/9 there is an agreed canonical way of designating that value, namely 2/3. In the case of pi there is similarly an agreed canonical way of designating the value, namely the symbol π.
Pi is just our name for the ratio of a circle's circumference to its diameter regardless of the base.
This is why it doesn't make sense for an intelligent species not to know what 'pi' is. It's an important concept that pops up immediately in basic geometry and just keeps popping up over and over all the way to general relativity and beyond.
Yes, an intelligent species may not know pi but they would not have progressed even to the point of basic geometry in the maths and sciences.
Number theory and set theory is pretty agnostic to any preconceptions of what we would call numbers in the day to day life.
People mistake the value of a certain constant in decimal which is what we use to the meaning behind the constant itself.
After an hour on HN there are 44k responses in so far. Here is a summary sorted the percentage that agree/answered "yes".
23% Is gold valuable to them?
25% Do they eat aliens (i.e cannibalism)?
25% Can they time travel?
29% Do they have political parties?
31% Do they use base 10 maths?
31% Do they have compulsory taxation?
32% Do they have a United Nations?
34% Are there countries?
35% Do they have elections?
37% Do they have mobile phones?
38% Do they have insurance?
40% Do they have slavery?
40% Is there unemployment?
41% Do they have brands?
41% Is there advertising?
42% Do they have poverty?
43% Do they use money?
44% Do they have religion?
45% Is there a world leader?
45% Do they have double helix DNA?
48% Do they have private property?
52% Do they have corruption?
53% Do they wear clothes?
54% Is there theft?
54% Is there a market for second hand goods?
55% Do they have pills/oral medicine?
56% Do they have male & female?
58% Are there jails/prisons?
58% Do they eat animals?
60% Do they have pets?
60% Do they have shops?
61% Do they have governments with authority over individuals?
62% Do they have wars?
62% Do they have judges or courts to adjudicate disputes?
64% Do they use recreational drugs?
65% Do they have police?
65% Are there roads?
67% Do they practice euthanasia?
68% Do they have electronic computers?
69% Have they developed Artificial Intelligence?
69% Do they have fiction (books and movies)?
71% Do they live in multistory buildings?
71% Do they know about and agree with our periodic table of the elements?
72% Do they have a sewage system?
73% Do they know about and agree with the theory of relativity?
73% Do they sleep?
73% Do they have doctors and hospitals?
74% Do they have something like cement/concrete?
75% Do they have space travel?
78% Do they eat plants?
82% Do they grow old and die?
84% Do they have standardised weights and measures?
84% Do they have eyes?
85% Do they have something like the internet?
87% Do aliens know about Pi?
88% Are there cities?
89% Do they eat?
89% Do they have reading and writing?
92% Are there animals and plants (other than the aliens)?