France covered with digits [La France recouverte de chiffres].




Let's imagine the covering of France with digits. The surface of France is about 550.000 km2. Each digit will be inside a 1 cm2 square. Then there will be about 550.000 x (1000 x 1000) x (100 x 100) = 5.500.000.000.000 such digits. An arbitrary concatenation of these digits (assuming that the first one is not a "0") gives birth to a huge integer number N1. But N1 is very small compared to N2=N1N1 and for any integer number n, Nn is very small compared to Nn+1=NnNn and so on...


[See the Peano axioms.]


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