※ 引述《Gikber (Gikber)》之铭言：
: 大家都知道1乘以任何数字都会等于被乘数
: 而0被任何数字乘就会等于0
: 这数学界两个最强的矛与盾碰在一起时
: 到底是因为1乘以0所以等于0
: 还是因为0被1乘了所以等于0呢？
: 有没有卦？
https://mathworld.wolfram.com/FieldAxioms.html
By field axiom, for all x in F,
0x = 0x+0 (by identity for addition)
= 0x+[0x+(-0x)] (by addition inverse)
= (0x+0x)+(-0x) (by associativity)
= (0+0)x+(-0x) (by distributivity for multiplication)
= 0x+(-0x) (by identity for addition)
= 0 (by addition inverse)
0x = x0 (by commutativity for multiplication)
所以1*0=0*1=0