[Tripple Seven]

Originally Posted by ndigila

Its not any fancy theory. Its just simply playing around with form 1 (or possibly form 2) algebra.

Ok, now pay close attention!

We start with the equation

a = b

multiply both sides by a

a^2 = ab

subtract b^2 from both sides

a^2 - b^2 = ab - b^2

Now, if you remember form 2 algebra a^2 - b^2 = (a-b) (a+b). So do that on the left side and factor out b on the right side

(a+b) (a-b) = b (a-b)

(a-b) is common on both sides. so it cancels out.

(a+b) = b

So if a = b = 1, then 1+1 = 1.

And there you have it.

Note that the algebra is flawless. There are objections (all of which I'm well aware) but you cannot dispute the algebra. As one of my professors always says, "We [engineers] own the Math, the Math doesn't own us."

Yes I totally agree with your assumption that 1+1=1 only and only if A=1 or B=1. Now you and I both know that formulas should work for any number and to achieve a goal. On your way you played around with a difference of two terms and the product of the sum etc. Anyway the formula lacks identity which should work with all real numbers. Engineers try to calculate a compromise that should be powerful enough but at the same time not too complex to be prohibitive, which explains why I quit in my 2nd year. I was better off believing in a formula when A or B = 0. The Algebra is only flawless when putting forward an acceptable formula and as some of my professors often teased, ‘those of us who are non engineering majors do not own the math, the math always owns us’.
On a lighter note, I am an English major, you do the MATH. Wish you all the best in your career