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Proofs And Refutations




the progress of Mathematics . The book is written as a series of Socratic dialogues involving a group of students. A central theme is that Definition s are not carved in stone, but
often have to be patched up in the light of later insights, in particular failed Proof s.
This gives mathematics a somewhat experimental flavour.

In computer science, proofs and refutations were further developed in the Scientific Community Metaphor by Bill Kornfeld and Carl Hewitt building on the work of Lakatos {Link without Title}


REFERENCES

  • Lakatos (1976). ''Proofs and Refutations''. Cambridge: Cambridge University Press. ISBN 0521290384

  • William Kornfeld and Carl Hewitt. [https://dspace.mit.edu/handle/1721.1/5693 "The Scientific Community Metaphor"] IEEE Transactions on Systems, Man and Cybernetics, SMC-11. 1981

  • Bill Kornfeld. "The Use of Parallelism to Implement a Heuristic Search" IJCAI 1981.

  • Bill Kornfeld. ''Parallelism in Problem Solving'' MIT EECS Doctoral Dissertation. August 1981.

  • Bill Kornfeld. "Combinatorially Implosive Algorithms" CACM. 1982.