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[[File:Recursion ploy - Doctor Who Castrovalva - BBC|thumb|Recursion explained in [[Castrovalva]]]]
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'''Recursion''' was the concept that ideas and concepts, as [[Nyssa]] put it, "fold back on themselves". Trying to come to grips with the concept, [[Tegan]] surmised that "if we had an [[index file]] we could look it up in the index file under 'index file'".  
{{you may|Recursive}}
{{video|Recursion ploy - Doctor Who Castrovalva - BBC|thumb|align=right|Recursion explained. ([[TV]]: [[Castrovalva (TV story)|''Castrovalva'']])}}
'''Recursion''' was the concept that ideas and concepts, as [[Nyssa]] put it, "fold back on themselves". Trying to come to grips with the concept, [[Tegan]] surmised that "if we had an [[index file]] we could look it up in the index file under 'index file'".


Later, the [[Fifth Doctor]] called this exchange with [[Mergrave]] a "perfect example of recursion":
When [[Mergrave]] assured the [[Fifth Doctor]] that he was telling the truth because "I maintain that I am, and I am a man of my word," the Doctor called it a "perfect example of recursion".
::Doctor: How do I know you're telling the truth?
::Mergrave: Because, sir, I maintain that I am. And I am a man of my word.


The Doctor later realised that [[Castrovalva]] itself was — as a mathematical construct of {{ainley}} — inherently recursive. The Master intended to trap the Doctor there as the recursion folded in on itself and the reality collapsed. ([[TV]]: ''[[Castrovalva (TV story)|Castrovalva]]'')
The Doctor later realised that [[Castrovalva]] itself was — as a [[math]]ematical construct of {{ainley}} — inherently recursive. The Master intended to trap the Doctor there as the recursion folded in on itself and the reality collapsed. ([[TV]]: {{cs|Castrovalva (TV story)}})
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[[Category:Theories and concepts]]
[[pt:Recursão]]
[[Category:Concepts]]
[[Category:Logic]]

Latest revision as of 12:55, 4 November 2024

Recursion
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Recursion explained. (TV: Castrovalva)

Recursion was the concept that ideas and concepts, as Nyssa put it, "fold back on themselves". Trying to come to grips with the concept, Tegan surmised that "if we had an index file we could look it up in the index file under 'index file'".

When Mergrave assured the Fifth Doctor that he was telling the truth because "I maintain that I am, and I am a man of my word," the Doctor called it a "perfect example of recursion".

The Doctor later realised that Castrovalva itself was — as a mathematical construct of the Tremas Master — inherently recursive. The Master intended to trap the Doctor there as the recursion folded in on itself and the reality collapsed. (TV: Castrovalva [+]Loading...["Castrovalva (TV story)"])