I do not accept your concept of "1-0" as being a number.
The 1-0 you are using is a notation used on different numbers. So, as special the number 10decimal is, the notation 1-0 is not a special number.
To me, it is a special notation.
1-0 is the notation for the number 10decimal.
1-0 is the notation for the number 2binary
1-0 is the notation for the number 8octal
1-0 is the notation for the number 12radix12
1-0 is the notation for the number 13radix13
1-0 is the notation for the number 14radix14
1-0 is the notation for the number 15radix15
1-0 is the notation for the number 16hexadec
So, calling number 10dec a special number because the notation 1-0 is special would be akin to expressing the correlation
cows eat corn. cows are stupid.
Mary eats corn. And therefore, Mary is stupid.
However, you could say that the notation 1-0 denotes a number that is special within each radix. That is saying that every number is a special number in the set of all radix systems.
- There are innumerable radix systems.
- There are innumerable numbers.
- A radix system is denoted by radix(n)
- where n is a special number within the set of numbers in radix(n) because it is denoted by the notation 1-0radix(n)
- Therefore, every number is a special number within the radix denoted by that number.
- So is the notation 1-0-0 special, as is the notation 1-0-0-.......-0
The notation 1-9 is also a special notation, for all radix systems greater than radix(8), because it signifies the special occasion when the number mutates from 1-8 to 1-9 or from 1-A to 1-9
In fact, every notation member of the sets of all possible notations is special, by the virtue that that notation signifies a transition from a lesser value to a greater value, vice versa.
The notation A is also special notation, for all radix systems greater than radix(9).
Because it signifies the transition from a numeral digit procession to an alphabetic procession.
Therefore, the number 10dec is indeed a special number not by the virtue of the notation 1-0, but by the virtue of the notation A. Because for all radix systems greater than radix(10), the value 10dec is always denoted by the special notation A. Where A is special because it is a consequence of the end of numeric digit procession into an alphabetic one.
That is like every parent in the world saying "My kid is special".