I mean not really cause base one would just be 111 + 111 = 111111. On the other hand if its baseless it still doesnt work cause then its 3 + 6 = 9? But with that it could just be base 10. One thing that could work is that its actually a split base 4 and 8 system where the first 3 digits of a number are base 4 and the rest are base 8 but this is a very confusing system and the opposite of what is usual. It could also be a system where 1, 2, 3 are used for whole parts of numbers and 4, 5, 6 were added when they inveneted fractions so they represent the fractional part of numbers? Thats what im gonna put my money on tho im probably ignoring something obvious.
I mean not really cause base one would just be 111 + 111 = 111111. On the other hand if its baseless it still doesnt work cause then its 3 + 6 = 9? But with that it could just be base 10. One thing that could work is that its actually a split base 4 and 8 system where the first 3 digits of a number are base 4 and the rest are base 8 but this is a very confusing system and the opposite of what is usual. It could also be a system where 1, 2, 3 are used for whole parts of numbers and 4, 5, 6 were added when they inveneted fractions so they represent the fractional part of numbers? Thats what im gonna put my money on tho im probably ignoring something obvious.
I think they just meant modulo 1 instead
I disagree with you definition of base 1. Since base 10 is 0 through 9, and base 2 is 0 and 1, therefor base 1 must be only 0.
The real question is: How do we continue?
What is base 0?
Is that equal to base 1?
Are the negative bases?
Base 1 is a tally system. The symbol can be anything as long as it’s discrete.
Base 1 is just run length encoding.
1: 1 2: 11 3: 111 ... 10: 1111111111That would be reverse run length encoding. Also, Base 1 is just zero, everything equals zero.
123 = 000 = 0
456 = 000 = 0
123456 = 000000 = 0
123 + 456 = 123456
0 + 0 = 0
69 + 420 = 42069
Base-n is a numeral positioning system where the value of each digit is n times the value of the dight directly to its right.
We typically don’t let the maximum digit we use to be greater than or equal to n because then there would be multiple ways to express the same number.
However when working with weird bases, sometimes it’s useful to forgo this convention.
Base 0 has zero digits, so it would just be blank
And what about base e or fractional bases?
You can read all about those in The Lesser Key of Solomon