Union
$$A \cup B =$$
{ agent, argument, dicent indexical legisign, dicent sinsign, dicent symbol, iconic legisign, iconic sinsign, other, product, qualisign, rhematic indexical, rhematic indexical legisign, rhematic symbol, truth }
Symmetric Difference
$$A \ominus B =$$
{ agent, argument, dicent indexical legisign, dicent sinsign, dicent symbol, iconic legisign, iconic sinsign, other, product, qualisign, rhematic indexical, rhematic indexical legisign, rhematic symbol, truth }
Difference
$$A - B =$$
{ argument, dicent indexical legisign, dicent sinsign, dicent symbol, iconic legisign, iconic sinsign, qualisign, rhematic indexical, rhematic indexical legisign, rhematic symbol }
Cartesian Product
$$A \times B =$$
{ (argument, agent),
(argument, other),
(argument, product),
(argument, truth),
(dicent indexical legisign, agent),
(dicent indexical legisign, other),
(dicent indexical legisign, product),
(dicent indexical legisign, truth),
(dicent sinsign, agent),
(dicent sinsign, other),
(dicent sinsign, product),
(dicent sinsign, truth),
(dicent symbol, agent),
(dicent symbol, other),
(dicent symbol, product),
(dicent symbol, truth),
(iconic legisign, agent),
(iconic legisign, other),
(iconic legisign, product),
(iconic legisign, truth),
(iconic sinsign, agent),
(iconic sinsign, other),
(iconic sinsign, product),
(iconic sinsign, truth),
(qualisign, agent),
(qualisign, other),
(qualisign, product),
(qualisign, truth),
(rhematic indexical, agent),
(rhematic indexical, other),
(rhematic indexical, product),
(rhematic indexical, truth),
(rhematic indexical legisign, agent),
(rhematic indexical legisign, other),
(rhematic indexical legisign, product),
(rhematic indexical legisign, truth),
(rhematic symbol, agent),
(rhematic symbol, other),
(rhematic symbol, product),
(rhematic symbol, truth) }
Charles Sanders Peirce