English Language · Reading Comprehension
Based on the passage, which statement best characterizes the relationship between Hilbert's 'crushed' programme and the subsequent emergence of modern computation?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The failure of Hilbert's programme proved that Leibniz's dream of mechanizing thought was a logical impossibility that should have been abandoned earlier.
- 2Gödel and Turing's dismissal of Hilbert's goals acted as a 'creative destruction' that defined the functional boundaries necessary to build actual computing systems.✓
- 3The transition from Hilbert's theoretical mathematics to Turing's practical computation was a direct result of ignoring the philosophical constraints of Leibniz.
- 4Turing's undecidability proof served as a literal implementation of Hilbert's original algorithm, thereby fulfilling the programme in an unexpected manner.
Correct answer
Gödel and Turing's dismissal of Hilbert's goals acted as a 'creative destruction' that defined the functional boundaries necessary to build actual computing systems.
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