Definition:Order Type of Real Numbers/Historical Note

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Historical Note on Order Type of Real Numbers

The use of $\lambda$ to denote the order type of $\struct {\R, \le}$ dates back to the writings of Georg Cantor and Felix Hausdorff.

According to Winfried Just and Martin Weese in their Discovering Modern Set Theory. I: The Basics of $1996$, this order type, along with that for $\struct {\Q, \le}$, has not been greatly studied in recent years.

$\lambda$ is in fact far more often used to denote an infinite cardinal.