>> If anyone does disagree, please explain why. >> Original =A0 =A0 =A0 =A0 =A0 =A0 =A0 =A0 =A0 =A0 =A0 =3D =A0 =A0 =A0 =A0= =A0 =A0 =A0Transposed version >> A =3D 6 / 2 * (1 + 2) =A0 =A0 =A0 =A0 =A0 =A0 =A0 =A0 =A0 =A0 =A0 =A0 = =A0A =3D (1 + 2) * 6 / 2 > This interchange is only correct if the intention of the original equatio= n is A =3D (6/2)*(1+2). > > If the intention of the original equation is A =3D 6/(2 * (1 + 2)) then R= ussells interchange does not work, and this could well be the intention of = the original equation, as someone else noted a hand written version would h= ave made this a lot clearer. Intentions are of no consequence in determining mathematical truth :-) I argued that multiplication is commutative - as it is in our universally accepted mathematical system. . To "intend" that an equation breaks this rule is to utilise "the new mathematics". Russell --=20 http://www.piclist.com PIC/SX FAQ & list archive View/change your membership options at http://mailman.mit.edu/mailman/listinfo/piclist .