Equality
$$A \neq B$$
A is not equal to B
Subset
$$A \not\subseteq B$$
A is not a subset of or equal to B
Superset
$$A \not\supseteq B$$
A is not a superset of or equal to B
Intersection
$$A \cap B =$$
{ }
Union
$$A \cup B =$$
{ Correlation isn’t causation, Extraordinary claims need extraordinary evidence, Falsifiablity, Occam’s Razor, Replicability, Rule out rival hypotheses, liberty, life, pursuit of happiness }
Symmetric Difference
$$A \ominus B =$$
{ Correlation isn’t causation, Extraordinary claims need extraordinary evidence, Falsifiablity, Occam’s Razor, Replicability, Rule out rival hypotheses, liberty, life, pursuit of happiness }
Difference
$$A - B =$$
{ liberty, life, pursuit of happiness }
Difference
$$B - A =$$
{ Correlation isn’t causation, Extraordinary claims need extraordinary evidence, Falsifiablity, Occam’s Razor, Replicability, Rule out rival hypotheses }
Cartesian Product
$$A \times B =$$
{ (liberty, Correlation isn’t causation),
(liberty, Extraordinary claims need extraordinary evidence),
(liberty, Falsifiablity),
(liberty, Occam’s Razor),
(liberty, Replicability),
(liberty, Rule out rival hypotheses),
(life, Correlation isn’t causation),
(life, Extraordinary claims need extraordinary evidence),
(life, Falsifiablity),
(life, Occam’s Razor),
(life, Replicability),
(life, Rule out rival hypotheses),
(pursuit of happiness, Correlation isn’t causation),
(pursuit of happiness, Extraordinary claims need extraordinary evidence),
(pursuit of happiness, Falsifiablity),
(pursuit of happiness, Occam’s Razor),
(pursuit of happiness, Replicability),
(pursuit of happiness, Rule out rival hypotheses) }
Life, Liberty and the pursuit of Happiness