Union
$$A \cup B =$$
{ Correlation isn’t causation, Extraordinary claims need extraordinary evidence, Falsifiablity, Occam’s Razor, Replicability, Rule out rival hypotheses, to not commit adultery, to not intoxicate, to not kill, to not lie, to not steal }
Symmetric Difference
$$A \ominus B =$$
{ Correlation isn’t causation, Extraordinary claims need extraordinary evidence, Falsifiablity, Occam’s Razor, Replicability, Rule out rival hypotheses, to not commit adultery, to not intoxicate, to not kill, to not lie, to not steal }
Cartesian Product
$$A \times B =$$
{ (Correlation isn’t causation, to not commit adultery),
(Correlation isn’t causation, to not intoxicate),
(Correlation isn’t causation, to not kill),
(Correlation isn’t causation, to not lie),
(Correlation isn’t causation, to not steal),
(Extraordinary claims need extraordinary evidence, to not commit adultery),
(Extraordinary claims need extraordinary evidence, to not intoxicate),
(Extraordinary claims need extraordinary evidence, to not kill),
(Extraordinary claims need extraordinary evidence, to not lie),
(Extraordinary claims need extraordinary evidence, to not steal),
(Falsifiablity, to not commit adultery),
(Falsifiablity, to not intoxicate),
(Falsifiablity, to not kill),
(Falsifiablity, to not lie),
(Falsifiablity, to not steal),
(Occam’s Razor, to not commit adultery),
(Occam’s Razor, to not intoxicate),
(Occam’s Razor, to not kill),
(Occam’s Razor, to not lie),
(Occam’s Razor, to not steal),
(Replicability, to not commit adultery),
(Replicability, to not intoxicate),
(Replicability, to not kill),
(Replicability, to not lie),
(Replicability, to not steal),
(Rule out rival hypotheses, to not commit adultery),
(Rule out rival hypotheses, to not intoxicate),
(Rule out rival hypotheses, to not kill),
(Rule out rival hypotheses, to not lie),
(Rule out rival hypotheses, to not steal) }