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The common notion 5 "The whole is greater than the part"

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Discuss Euclid's Common Notion 5, which states that the whole is greater than the parts, and discuss whether or not it is true.

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Euclid's Common Notion 5, "The whole is greater than the part" is clarified and assessed.

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The common notion 5 "The whole is greater than the part" is convincing if we apply it to the intuitive notion of positive finite magnitude or size:
positive integers and fractions,
line segments (ordered by length),
plane figures (ordered by area),
solids (ordered by volume),
angles (ordered by angular magnitude).

For example, since 9 can be ...

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