Do you find the following sentence highly ambiguous?
This code cannot correct any pairs of errors.
Does this mean:
1. This code cannot correct any (none at all) pairs of errors.
2. This code cannot correct any (arbitrary) pairs of errors.
Similarly, the following sentence has the same problem:
This code cannot correct all pairs of errors.
1. This code cannot correct all pairs (100% of them) of errors.
2. This code cannot correct all pairs (it can correct some, but there are exceptions) of errors.
Do you find this highly restricting? Although it's not surprising because I guess that is what they invented ∀ and ∃ for! I wonder if it's the same in other tongues...
This code cannot correct any pairs of errors.
Does this mean:
1. This code cannot correct any (none at all) pairs of errors.
2. This code cannot correct any (arbitrary) pairs of errors.
Similarly, the following sentence has the same problem:
This code cannot correct all pairs of errors.
1. This code cannot correct all pairs (100% of them) of errors.
2. This code cannot correct all pairs (it can correct some, but there are exceptions) of errors.
Do you find this highly restricting? Although it's not surprising because I guess that is what they invented ∀ and ∃ for! I wonder if it's the same in other tongues...