
Re: 1 x 1 ?
Posted:
Sep 20, 1999 6:37 PM


> Here's something I've always wondered (perhaps in my naivety). Why > should 1 x 1 = 1?
Consider the following situation. Suppose you had a prison which costs the tax payers $1000 per inmate per day in taxes. Thus the daily "revenue" to the community is $1000. Now, let's say one of those inmates escaped. The total change in revenue is:
1 prisoner X $1000 per day = +$1000 per day.
Something more mathematically concrete:
1. 0 X 1 = 0 // 0 times anything (finite) is 0 2. (11) X 1 = 0 // substitute 0 for 11 3. (1 + 1) X 1 = 0 // subtracting = adding a negative 4. (1 X 1) + (1 X 1) = 0 // distribution of mult. over add. 5. 1 + (1 X 1) = 0 // 1 X anything is that anything 6. 1 + 1 + (1 X 1) = 1 + 0 // Add 1 to both sides 7. 1 X 1 = 1 // Q.E.D.
Someone could probably demonstrate this in less than 7 steps, but this will. In any case, one of the above mathematical steps must become invalid (DMA, multiplicative identity, etc.) if 1 X 1 were not 1.

