Are there sets that are not partitionable in certain ways? For exemple, can I partition [itex]\mathbb{R}[/itex] into a collection of singletons?(adsbygoogle = window.adsbygoogle || []).push({});

Can I partition [itex]\mathbb{R}^2[/itex] into a collection of lines of slope 2?

If so, how would you write each of those partitions?

Thx.

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# Are there sets that are not partitionable in certain ways?

**Physics Forums | Science Articles, Homework Help, Discussion**