Formalism and intuition in computability

@article{Soare2012FormalismAI,
  title={Formalism and intuition in computability},
  author={Robert Irving Soare},
  journal={Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences},
  year={2012},
  volume={370},
  pages={3277 - 3304}
}
  • R. Soare
  • Published 28 July 2012
  • Philosophy
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
The model of recursive functions in 1934–1936 was a deductive formal system. In 1936, Turing and in 1944, Post introduced more intuitive models of Turing machines and generational systems. When they both died prematurely in 1954, their informal approach was replaced again by the very formal Kleene T-predicate for another decade. By 1965, researchers could no longer read the papers. A second wave of intuition arose with the book by Rogers and Lachlan's revealing papers. A third wave of intuition… 
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