Union
$$A \cup B =$$
{ Biochemistry, Biology/Microbiology, Botany, Chemistry, Earth Science/Life Science, Ecology, Geology, Meteorology, Oceanography, Physics/Cosmology, Space Science, Zoology, interval, nominal, ordinal, ratio }
Symmetric Difference
$$A \ominus B =$$
{ Biochemistry, Biology/Microbiology, Botany, Chemistry, Earth Science/Life Science, Ecology, Geology, Meteorology, Oceanography, Physics/Cosmology, Space Science, Zoology, interval, nominal, ordinal, ratio }
Cartesian Product
$$A \times B =$$
{ (Biochemistry, interval),
(Biochemistry, nominal),
(Biochemistry, ordinal),
(Biochemistry, ratio),
(Biology/Microbiology, interval),
(Biology/Microbiology, nominal),
(Biology/Microbiology, ordinal),
(Biology/Microbiology, ratio),
(Botany, interval),
(Botany, nominal),
(Botany, ordinal),
(Botany, ratio),
(Chemistry, interval),
(Chemistry, nominal),
(Chemistry, ordinal),
(Chemistry, ratio),
(Earth Science/Life Science, interval),
(Earth Science/Life Science, nominal),
(Earth Science/Life Science, ordinal),
(Earth Science/Life Science, ratio),
(Ecology, interval),
(Ecology, nominal),
(Ecology, ordinal),
(Ecology, ratio),
(Geology, interval),
(Geology, nominal),
(Geology, ordinal),
(Geology, ratio),
(Meteorology, interval),
(Meteorology, nominal),
(Meteorology, ordinal),
(Meteorology, ratio),
(Oceanography, interval),
(Oceanography, nominal),
(Oceanography, ordinal),
(Oceanography, ratio),
(Physics/Cosmology, interval),
(Physics/Cosmology, nominal),
(Physics/Cosmology, ordinal),
(Physics/Cosmology, ratio),
(Space Science, interval),
(Space Science, nominal),
(Space Science, ordinal),
(Space Science, ratio),
(Zoology, interval),
(Zoology, nominal),
(Zoology, ordinal),
(Zoology, ratio) }