Symbol for null proposition in mathematical logic

246 Views Asked by At

Is there a symbol in mathematical logic expressing a null statement? That is an equivalent expression to: $$p\land\lnot p$$

1

There are 1 best solutions below

0
On

There are several. The ones I've seen most often are $\bot$ and $0.$ Ultimately, they all represent contradiction. The kicker is that the Principle of Explosion shows that a contradiction implies (or, from a Boolean algebra standpoint, is "less than or equal to") all other statements.