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Mathematics
Quick fact
The Cantor set contains uncountably many points, yet its total length is exactly zero—a striking demonstration that uncountability is not about filling space but about the number of points.
Why this is interesting
You know that the real numbers are uncountable, but can an uncountable set still be so small that it has no length at all? Meet the Cantor set, a set of infinitely many points that takes up zero space on the number line.
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Subjects · study & training · careers
Choose something you are considering. FACTREE will give you a clear picture of what it contains, how its main parts connect and where it could lead.
This private catalogue connects 31 subjects, study routes and careers across six broad areas. Public Maps and learner routes remain off.
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Open a subject to see its complete shape at a glance. You can always return here and choose something else.
See what programming involves, how its main areas connect, and whether you find the knowledge interesting enough to take it further.
Structuring the Programming Map…
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