Union
$$A \cup B =$$
{ argument, dicent indexical legisign, dicent sinsign, dicent symbol, glide reflection, iconic legisign, iconic sinsign, qualisign, reflection, rhematic indexical, rhematic indexical legisign, rhematic symbol, rotation, translation }
Symmetric Difference
$$A \ominus B =$$
{ argument, dicent indexical legisign, dicent sinsign, dicent symbol, glide reflection, iconic legisign, iconic sinsign, qualisign, reflection, rhematic indexical, rhematic indexical legisign, rhematic symbol, rotation, translation }
Difference
$$B - A =$$
{ argument, dicent indexical legisign, dicent sinsign, dicent symbol, iconic legisign, iconic sinsign, qualisign, rhematic indexical, rhematic indexical legisign, rhematic symbol }
Cartesian Product
$$A \times B =$$
{ (glide reflection, argument),
(glide reflection, dicent indexical legisign),
(glide reflection, dicent sinsign),
(glide reflection, dicent symbol),
(glide reflection, iconic legisign),
(glide reflection, iconic sinsign),
(glide reflection, qualisign),
(glide reflection, rhematic indexical),
(glide reflection, rhematic indexical legisign),
(glide reflection, rhematic symbol),
(reflection, argument),
(reflection, dicent indexical legisign),
(reflection, dicent sinsign),
(reflection, dicent symbol),
(reflection, iconic legisign),
(reflection, iconic sinsign),
(reflection, qualisign),
(reflection, rhematic indexical),
(reflection, rhematic indexical legisign),
(reflection, rhematic symbol),
(rotation, argument),
(rotation, dicent indexical legisign),
(rotation, dicent sinsign),
(rotation, dicent symbol),
(rotation, iconic legisign),
(rotation, iconic sinsign),
(rotation, qualisign),
(rotation, rhematic indexical),
(rotation, rhematic indexical legisign),
(rotation, rhematic symbol),
(translation, argument),
(translation, dicent indexical legisign),
(translation, dicent sinsign),
(translation, dicent symbol),
(translation, iconic legisign),
(translation, iconic sinsign),
(translation, qualisign),
(translation, rhematic indexical),
(translation, rhematic indexical legisign),
(translation, rhematic symbol) }
Charles Sanders Peirce