Field of Real Numbers has Characteristic Zero

Theorem

The field of real numbers has characteristic zero:

$\Char {\R, +, \times} = 0$

Proof

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Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): characteristic: 2.
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): characteristic: 2.