Logical Intuition, or mathematical intuition or rational intuition, is a series of instinctive foresight, know-how, and savviness often associated with the ability to perceive logical or mathematical truth—and the ability to solve mathematical challenges efficiently.[1] Humans apply logical intuition in proving mathematical theorems,[2] validating logical arguments,[3] developing algorithms and heuristics,[4] and in related contexts where mathematical challenges are involved.[5] The ability to recognize logical or mathematical truth and identify viable methods may vary from person to person, and may even be a result of knowledge and experience, which are subject to cultivation.[6] The ability may not be realizable in a computer program by means other than genetic programming or evolutionary programming.[7]
- ^ Parsons, Charles (1980). "X - Mathematical Intuition". Proceedings of the Aristotelian Society. 80 (New Series): 145–168. doi:10.1093/aristotelian/80.1.145. JSTOR 4544956.
- ^ Lipton, Richard (2010). "Mathematical Intuition—What Is It?".
- ^ Nakamura, Hiroko; Kawaguchi, Jun (2016). "People Like Logical Truth: Testing the Intuitive Detection of Logical Value in Basic Propositions". PLOS ONE. 11 (12): e0169166. doi:10.1371/journal.pone.0169166. PMC 5201307. PMID 28036402.
- ^ "Intuitive way to understand tree recursion". StackOverflow.com. 2014.
- ^ "Godel and the Nature of Mathematical Truth - A Talk with Rebecca Newberger Goldstein". Edge Foundation, Inc. 2005.
- ^ "Developing Your Intuition For Math". BetterExplained.com.
- ^ Rucker, Rudy. Infinity and the Mind. Princeton University Press., section 330 "Artificial Intelligence via Evolutionary Processes"