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Philosophy
Quick fact
Gödel proved his first incompleteness theorem by constructing a statement that essentially says 'This statement cannot be proved' within arithmetic—a mathematical version of the liar paradox.
Why this is interesting
You rely on logic every day—but what if the most rigorous logical system couldn't prove all its own truths? Gödel's theorems show that mathematics has unavoidable blind spots.
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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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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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