Nullity and dividing by zero by professor James Anderson
Recently this was highlighted at Slashdot and Digg.com both. A math professor James Anderson has made a new 'number' or entity that he calls NULLITY, in order to solve problems such as 0/0, which traditionally is left undefined. Basically he first defined 1/0 as infinity, -1/0 as negative infinity, and 0/0 as nullity, using Φ (Phi) as a symbol for it. He said this nullity lies outside our normal number line, not on it. I watched the video shown on BBC news , and there he went on to show what happens with the "age-old" problem of 0 0 , (zero to zeroth power) using just normal rules of arithmetic plus these definitions: 0 0 = 0 (1 − 1) = 0 1 × 0 -1 =(0/1) 1 × (0/1) -1 Now, for every number, the 1st power is the number itself, while the -1 power is its reciprocal: = (0/1) × (1/0) = (0 × 1) / (1 × 0 ) = 0/0 = Nullity. Anderson said in the comments following the main article on BBC that two other professors have helped him develop axioms for this...