Python has semantics which has int * string to be a string repeated in times. However this is expansion rather than compression.
There + is concatenation so “hi”+”world” becomes “hiworld”. Which is somewhat compatible with “a”+”a”=”aa”=2*”a”.
However “a”+”b”!=”b”+”a”, it doesn’t naturally commute. So while you might get a system that is a lot like arithmetic it might be different. This difference migth or might not matter.
Sequences are not free of ontological package. It is not clear that if you have two apples nearby you that they are in any particular sequence. Sequences might be natural in that a brain usually goes from one state to another, that is a time series is often relevant. Another sense proessing alternative would be to say that a + b = ab means something like the big experience of ab holds as parts the experience of a and experience of b without there being a before or after relation between a and b.
Python has semantics which has int * string to be a string repeated in times. However this is expansion rather than compression.
There + is concatenation so “hi”+”world” becomes “hiworld”. Which is somewhat compatible with “a”+”a”=”aa”=2*”a”.
However “a”+”b”!=”b”+”a”, it doesn’t naturally commute. So while you might get a system that is a lot like arithmetic it might be different. This difference migth or might not matter.
Sequences are not free of ontological package. It is not clear that if you have two apples nearby you that they are in any particular sequence. Sequences might be natural in that a brain usually goes from one state to another, that is a time series is often relevant. Another sense proessing alternative would be to say that a + b = ab means something like the big experience of ab holds as parts the experience of a and experience of b without there being a before or after relation between a and b.
Well we could add another notion:
Which would stand for 3aa’s and 4bb’s but possibly interspersed in any order.