On the Subject of Worse Venn Diagrams

Bigger Venn diagrams? Check. Weirder symbols? Check. Uncertainty?.. Maybe.

  • A standard Boolean Venn Diagram consists of three intersecting circles, each representing distinct triples of truth values with A at the top, B to the left, and C to the right, as well as an outer circle denoting falsehood of all three.
    However here, each circle has a larger concentric circle around it, denoting an Unknown value.
  • The diagram below shows the triplets of truth values each area represents.
  • The screen displays an expression combining various binary and unary logical operators in one of three colours.
  • Select all areas that represent truth values that, when input into the expression, return the value corresponding to its colour where:
    Green corresponds to True, Red corresponds to False, and Blue corresponds to Unknown.
  • The Venn diagrams below use the above colour scheme to show the outputs of the operators that can appear on the screen.
FFF FFU FFT FUF FUU FUT FTF FTU FTT UFF UFU UFT UUF UUU UUT UTF UTU UTT TFF TFU TFT TUF TUU TUT TTF TTU TTT

Binary Operators

A ∧ B A ∨ B A ⊻ B A ↦ B
A ⊥ B A × B A △ B A ⇥ B
A & B A + B A ⊕ B A ⇨ B

Unary Operators

!A A⁺ A⁻
!A⁺ !A⁻