Source: Science and Hypothesis (1901), Ch. I: On the Nature of Mathematical Reasoning (1905) Tr. https://books.google.com/books?id=5nQSAAAAYAAJ George Bruce Halstead
Context: The very possibility of the science of mathematics seems an insoluble contradiction. If this science is deductive only in appearance, whence does it derive that perfect rigor no one dreams of doubting? If, on the contrary, all the propositions it enunciates can be deduced one from another by the rules of formal logic, why is not mathematics reduced to an immense tautology? The syllogism can teach us nothing essentially new, and, if everything is to spring from the principle of identity, everything should be capable of being reduced to it. Shall we then admit that the enunciations of all those theorems which fill so many volumes are nothing but devious ways of saying A is A!... Does the mathematical method proceed from particular to the general, and, if so, how can it be called deductive?... If we refuse to admit these consequences, it must be conceded that mathematical reasoning has of itself a sort of creative virtue and consequently differs from a syllogism.<!--pp.5-6
“The divine tape recorder holds a million scenarios, each perfectly sensible. Little quirks at the outset, occurring for no particular reason, unleash cascades of consequences that make a particular feature seem inevitable in retrospect. But the slightest early nudge contacts a different groove, and history veers into another plausible channel, diverging continually from its original pathway. The end results are so different, the initial perturbation so apparently trivial.”
Source: Wonderful Life (1989), pp. 320–321
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Source: Steps to an Ecology of Mind (1972), p. 459, Chapter " Form, Substance and Difference http://www.rawpaint.com/library/bateson/formsubstancedifference.html#Anchor-39583"
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Letter to John Croker (8 August 1815), as quoted in The History of England from the Accession of James II (1848) by Thomas Babington Macaulay, Volume I Chapter 5 http://www.worldwideschool.org/library/books/hst/european/TheHistoryofEnglandfromtheAccessionofJamesIIVol1/chap5.html, p. 180.; and in The Waterloo Letters (1891) edited by H. T. Sibome
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