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.

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⁻