The difference between Axiom and Axiom of power set
Axiom is also noun with the meaning: a seemingly self-evident or necessary truth which is based on assumption.
Axiom of power set is also proper_noun with the meaning: the axiom that the power set of any set exists and is a valid set, which appears in the standard axiomatisation of set theory, zfc.
check bellow for the other definitions of Axiom and Axiom of power set
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Axiom as a noun (philosophy):
A seemingly self-evident or necessary truth which is based on assumption; a principle or proposition which cannot actually be proved or disproved.
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Axiom as a noun (logic, mathematics, proof theory):
A fundamental assumption that serves as a basis for deduction of theorems; a postulate (sometimes distinguished from postulates as being universally applicable, whereas postulates are particular to a certain science or context).
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Axiom as a noun:
An established principle in some artistic practice or science that is universally received.
Examples:
"The axioms of political economy cannot be considered absolute truths."