Abstract
“Logic” entails both a toolkit for dealing with situations requiring precision, and a prescription for a type of public reasoning. A sufficiently extended society facing a stream of genuinely novel opportunities and challenges will benefit from an ability to generate and encourage the use of such reasoning systems to deal with these opportunities and challenges. The study of “logic” is the result of using the toolkit on itself, which would appear to be a necessary and not unnatural step for a society developing sufficient familiarity with the toolkit. Many societies have developed something like logic, and past and present use of logic-like toolkits in learning situations and transmission of skills suggests that many societies will develop something like logic.
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References
Bunt L.N.H., Jones P.S., Bedient J.D.: The Historical Roots of Elementary Mathematics. Dover, New York (1988)
Burke J., Ornstein R.: The Axemaker’s Gift: A Double-Edged History of Human Culture. G. P. Putnam, New York (1995)
Butterworth B.: What Counts: How Every Brain is Hardwired for Math. Simon & Schuster, New York (1999)
Chalmers S.: What is this thing called Science? 2nd edn. University of Queensland Press, Queensland (1976)
Davison P.: Catches of Breath, Breathing Room. Knopf, New York (2000)
Debaene S.: The Number Sense: How The Mind Creates Mathematics. Oxford University Press, Oxford (1997)
Devlin K.: The Math Gene: How Mathematical Thinking Evolved And Why Numbers Are Like Gossip. Basic, London (2001)
Fagan B.M.: People of the Earth. Little Brown, Boston (1986)
Filmore, C.: Frame semantics. In: Linguistics Society of Korea. Linguistics in the Morning Calm, pp. 111–138. Hanshin, Seoul (1982)
Fitts P.M.: Perceptual-motor skill learning. In: Melton, A.W. (eds) Categories of Human Learning, pp. 243–285. Academic Press, New York (1964)
Gallese V., Lakoff G.: The brain’s concepts: the role of the sensory-motor system in conceptual structure. Cogn. Neuropsychol. 22, 455–479 (2005)
Goffman E.: Frame Analysis: An Essay on the Organization of Experience. Harper & Row, New York (1974)
Herodotus, The Persian Wars (Project Gutenberg)
Hilbert D.: On the Infinite, repr. In: Benacerraf, P., Putnam, H. (eds) Philosophy of Mathematics, pp. 183–201. Cambridge University Press, Cambridge (1983)
Hobbes, T.: Leviathan (Project Gutenberg)
Hume, D.: An Enquiry Concerning Human Understanding (Project Gutenberg)
Joseph G.G.: The Crest of the Peacock: Non-European Roots of Mathematics, new ed. Princeton University Press, Princeton (2000)
Katz V.J.: A History of Mathematics: An Introduction. HarperCollins, New York (1993)
Lakoff G.: The Political Mind: A Cognitive Scientist’s Guide to Your Brain and its Politics. Penguin, London (2009)
Lakoff G., Nunez R.E.: Where Mathematics Comes From: How the Embodied Mind Brings Mathematics into Being. Basic, London (2000)
Leibniz G.: Of the Art of Combination, selection. In: Parkinson, G.H.R. (eds) Leibniz: Logical Papers, pp. 1–11. Clarendon Press, Oxford (1966)
McColm G.: A metaphor for mathematics education. Notices AMS 54(4), 499–502 (2007)
Beam Piper, H.: Omnilingual (Project Gutenberg)
Plutarch: Life of Marcellus, Lives (Project Gutenberg)
Rosenbaum D.A., Carlson R.A., Gilmore R.O.: Acquisition of intellectual and perceptual-motor skills. Ann. Rev. Psychol. 52, 453–470 (2001)
Sweller J.: Cognitive load during problem solving: effects on learning. Cogn. Sci. 12, 257–285 (1988)
Waterhouse W.C.: The discovery of the regular solids. Arch. Hist. Exact Sci. 9(3), 212–221 (1972)
Wheeler W.M.: The ant colony as a superorganism. J. Morphol. 22(2), 307–325 (1911)
Wilson E.O.: The Insect Societies. Belknap Press of Harvard University Press, Cambridge (1971)
Wittgenstein L.: Philosophical Investigations. Blackwell, New York (1953)
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McColm, G. Is Logic Necessary?. Log. Univers. 4, 241–254 (2010). https://doi.org/10.1007/s11787-010-0016-z
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DOI: https://doi.org/10.1007/s11787-010-0016-z