Of course. It is a matter of definition. Symbols stand for something, and the numbers we use are examples of symbols. You could very well develop a system (perhaps for the creation of codes?) where the sequence of symbols along the number line might be: 1, 2, 3, 5, 4. You could also assign the standard value of 2.5 to your special symbol "2". I often use a mnemonic device in which I can assign the word "one" to the numeric or alphanumeric symbol 2. Other mnemonics using the same system could be "any", "no", "awn", "Noah", "Owen". There are probably others. In the system, which I did not create, any of these words would represent the symbol "2".
there is one theory that has no mathematical fallacy:
F(1)=1/2=1-1/2=1-1/(2^1)
F(2)=1/2+1/4=3/4=1-1/4=1-1/(2^2)
F(3)=1/2+1/4+1/8=1/8=7/8=1-1/8=1-1/(2^3)
F(X)=1-1/(2^X)
suppose x=infinity
F(X)=1-1/(2^X)
(check:))
then
2(F(X))=1+1/2+1/4+1/8....
-(F(X))= 1/2+1/4+1/8....
add
F(X)=1
and
F(X)=1-1/(2^X)
remember:x=infinity
then 1=-1/(2^X)
subtract 1
multiply by 2 to the power of X
1=0
(absurd but logical)
add four
use additive theory
then
2+2=5
and
2+2=4
(absurd but logical)
It is plus 2,
5+5+5+2 = 17
No, 21- (5 plus 2) does NOT equal 23.
IN 1984
5 + 3 * ( 5 - 2) ^ 2
38
No, 1 + 2 + 3 + 4 + 5 = 15.
-5 + 3 = -2
-5-1 plus 4 plus 2-6 plus 4 is equal to -2
3....
Yes.
2+2 does equal 5, for large values of 2.