Changes

::<big><math>7 ! = 1\cdot 2 \cdot 3 \cdot 4 \cdot 5 \cdot 6 \cdot 7= 5040 \ </math></big>

::<big><math>7 ! = 1\cdot 2 \cdot 3 \cdot 4 \cdot 5 \cdot 6 \cdot 7= 5040 \ </math></big>

The ideal state is to contain exactly 5040 citizens. His reason is that this number can be divided exactly by every number from 1 to 10 which he seems to think is important:

The ideal state is to contain exactly 5040 citizens. His reason is that this number can be divided exactly by every number from 1 to 10, as well as 12, 20, 21, and 144, which he seems to think is important:

:We will fix the number of citizens at 5040, to which the number of houses and portions of land shall correspond. Let the number be divided into two parts and then into three; for it is very convenient for the purposes of distribution, and is capable of fifty-nine divisions, ten of which proceed without interval from one to ten. Here are numbers enough for war and peace, and for all contracts and dealings. These properties of numbers are true, and should be ascertained with a

:We will fix the number of citizens at 5040, to which the number of houses and portions of land shall correspond. Let the number be divided into two parts and then into three; for it is very convenient for the purposes of distribution, and is capable of fifty-nine divisions, ten of which proceed without interval from one to ten. Here are numbers enough for war and peace, and for all contracts and dealings. These properties of numbers are true, and should be ascertained with a view to use.<ref>Plato, ''Laws'', Book VI, tr. Benjamin Jowett</ref>

view to use.<ref>Plato, ''Laws'', Book VI, tr. Benjamin Jowett</ref>

==References==

==References==

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