Mathematical  Culture and Thought

Mathematical Culture and Thought

On the Hardest Logic Puzzle Ever

Document Type : Original

Author
Department of Mathematics, University of Hormozgan, Iran
Abstract
Years ago, Raymond Smullyan, a logician and master of puzzles, raised a problem that George Boolos called ``the hardest logic puzzle ever".  We present a generalization of the puzzle in the form of a problem.
Keywords

Subjects


[۱] بولس، جی.، دشوارترین معمای منطقی همه دوران‌ها، ترجمۀ احسان ممتحن، فرهنگ و اندیشۀ ریاضی، ۳۷ (۱۳۹۷)، ۱۴۶-۱۴۱.
[٢] نبوى، لطف الله، مبانى منطق جدید، سمت، تهران، ١٣٨٩.
[3]    Boolos, G. , The hardest logic puzzle ever, The Harvard Review of Philosophy, 6 (1996), 62-65
[4]    Rabern, B., Rabern, L., A simple solution to the hardest logic puzzle ever, Analysis, 68 (2008), 105.
[5]    Rabern, B., Rabern, L., In defense of the two question solution to the hardest logic puzzle ever, available at https://brianrabern.net/landon-papers/defense_HLPE.pdf.
[6]    Roberts, T. S., Some Thoughts about the hardest logic puzzle ever, J. Philosophical Logic, 30 (2001), 609-612.
[7]    Smullyan, R., What is the Name of This Book?, Prentice Hall, New Jersey, 1978.
[8]    Smullyan, R., The Riddle of Scheherazade, A. A. Knopf, Inc, New York, 1997.
[9]    Uzquiano, G., How to solve the hardest logic puzzle ever in two questions,Analysis, 70 (2009), 39-44.
[10]    Wheeler, G., Barahona, P., Why the hardest logic puzzle ever cannot be solved in less than three questions, J. Philosophical Logic, 41 (2011), 493.
Volume 42, Issue 2 - Serial Number 73
December 2023
Pages 185-191

  • Receive Date 18 October 2021
  • Revise Date 05 October 2022
  • Accept Date 06 October 2022
  • Publish Date 22 December 2023