Axiom
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| - | # A [[self-evident]] and necessary [[truth]]; a [[proposition]] which it is necessary to take for granted; a proposition whose truth is so evident that no reasoning or [[demonstration]] can make it plainer. For example, "The whole is greater than a part." | + | An '''axiom''' is a [[self-evident]] and necessary [[truth]]; a [[proposition]] which it is necessary to take for granted; a proposition whose truth is so evident that no reasoning or [[demonstration]] can make it plainer. It can also refer to an [[unproved]] [[theorem]] that serves as a basis for [[deduction]] of other theorems. E.g., "A point has no mass; a line has no width. A plane is a flat surface with no mass and contains an infinity of points and lines". Thirdly, it can refer to a an established [[principle]] in some art or science that is universally received. |
| - | :# The [[Romantic movement]] held that not all truth could be deduced from [[axiom]]s, that there were inescapable realities in the world which could only be reached through [[emotion]], [[feeling]] and [[intuition]]. | + | |
| - | # An [[unproved]] [[theorem]] that serves as a basis for [[deduction]] of other theorems. E.g., "A point has no mass; a line has no width. A plane is a flat surface with no mass and contains an infinity of points and lines". | + | |
| - | # An established [[principle]] in some art or science that is universally received. | + | |
| - | :: ''The '''axioms''' of political economy cannot be considered absolute truths. | + | |
| == See also == | == See also == | ||
| - | * [[Vico]]'s [[114 axioms]] | + | * [[Giambattista Vico]]'s [[114 axioms]] |
| * [[Axiomatic philosophy]] | * [[Axiomatic philosophy]] | ||
| * [[Regulæ Juris]] | * [[Regulæ Juris]] | ||
| * [[Theorem]] | * [[Theorem]] | ||
| * [[Dogma]] | * [[Dogma]] | ||
| + | * [[Axiom (record label) ]] | ||
| {{GFDL}} | {{GFDL}} | ||
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An axiom is a self-evident and necessary truth; a proposition which it is necessary to take for granted; a proposition whose truth is so evident that no reasoning or demonstration can make it plainer. It can also refer to an unproved theorem that serves as a basis for deduction of other theorems. E.g., "A point has no mass; a line has no width. A plane is a flat surface with no mass and contains an infinity of points and lines". Thirdly, it can refer to a an established principle in some art or science that is universally received.
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