Zdroj: 1840s, The Mathematical Analysis of Logic, 1847, p. i: Lead paragraph of the Preface; cited in: R. H. Hutton, " Professor Boole http://books.google.com/books?id=pfMEAAAAQAAJ&pg=PA157," (1866), p. 157
Kontext: In presenting this Work to public notice, I deem it not irrelevant to observe, that speculations similar to those which it records have, at different periods, occupied my thoughts. In the spring of the present year my attention was directed to the question then moved between Sir W. Hamilton and Professor De Morgan; and I was induced by the interest which it inspired, to resume the almost-forgotten thread of former inquiries. It appeared to me that, although Logic might be viewed with reference to the idea of quantity, it had also another and a deeper system of relations. If it was lawful to regard it from without, as connecting itself through the medium of Number with the intuitions of Space and Time, it was lawful also to regard it from within, as based upon facts of another order which have their abode in the constitution of the Mind. The results of this view, and of the inquiries which it suggested, are embodied in the following Treatise.
George Boole: Citáty v angličtine
Zdroj: 1840s, The Mathematical Analysis of Logic, 1847, p. iii
Kontext: That to the existing forms of Analysis a quantitative interpretation is assigned, is the result of the circumstances by which those forms were determined, and is not to be construed into a universal condition of Analysis. It is upon the foundation of this general principle, that I purpose to establish the Calculus of Logic, and that I claim for it a place among the acknowledged forms of Mathematical Analysis, regardless that in its object and in its instruments it must at present stand alone.
Zdroj: 1850s, An Investigation of the Laws of Thought (1854), p. 12; Cited in: William Stanley Jevons (1887) The Principles of Science: : A Treatise on Logic and Scientific Method. p. 155
Letter to William Thomson (2 January 1851), indicating his early work on what has since become known as Boolean logic.
1850s
Kontext: I am now about to set seriously to work upon preparing for the press an account of my theory of Logic and Probabilities which in its present state I look upon as the most valuable if not the only valuable contribution that I have made or am likely to make to Science and the thing by which I would desire if at all to be remembered hereafter.
George Boole, quoted in Kenneth E. Iverson's 1979 Turing Award Lecture
Attributed from posthumous publications
Attributed to George Boole : Des MacHale (1985) George Boole: his life and work. p. 5
Attributed from posthumous publications
George Boole (1851), "The Claims of Science, especially as founded in its relation to Human Nature". Published in Boole, GeorgeStudies in Logic and Probability. 2002. p. 201-202
1850s
Kontext: The scepticism of the ancient world left no department of human belief unassailed. It took its chief stand upon the conflicting nature of the impressions of the senses, but threw the dark shade of uncertainty over the most settled convictions of the mind; over men's belief in an external world, over their consciousness of their own existence. But this form of doubt was not destined to endure. Science, in removing the contradictions of sense, and establishing the consistent uniformity of natural law, took away the main pillars of its support. The spirit, however, and the mental habits of which it was the roduct, still survive; but not among the votaries of science. For I cannot but regard it as the same spirit which, with whatever profession of zeal, and for whatever ends of supposed piety or obedience, strives to subvertthe natural evidences of morals, - the existence of a Supreme Intelligent Cause. There is a scepticism which repudiates all belief; there is also a scepticism which seeks to escape from itself by a total abnegation of the understanding, and which, in the pride of its new-found security, would recklessly destroy every internal ground of humant trust and hope... Now to this, as to a former development of the sceptical spirit, Science stands in implied but real antagonism.
“The general laws of Nature are not, for the most part, immediate objects of perception.”
Zdroj: 1850s, An Investigation of the Laws of Thought (1854), p. 4; Ch. 1. Nature And Design Of This Work
Kontext: The general laws of Nature are not, for the most part, immediate objects of perception. They are either inductive inferences from a large body of facts, the common truth in which they express, or, in their origin at least, physical hypotheses of a causal nature serving to explain phenomena with undeviating precision, and to enable us to predict new combinations of them. They are in all cases, and in the strictest sense of the term, probable conclusions, approaching, indeed, ever and ever nearer to certainty, as they receive more and more of the confirmation of experience. But of the character of probability, in the strict and proper sense of that term, they are never wholly divested. On the other hand, the knowledge of the laws of the mind does not require as its basis any extensive collection of observations. The general truth is seen in the particular instance, and it is not confirmed by the repetition of instances.
George Boole (1854), "Address at Cork" as cited in: R. H. Hutton, " Professor Boole http://books.google.com/books?id=pfMEAAAAQAAJ&pg=PA165," (1866), p. 165; Also cited in: Boole, George. Studies in Logic and Probability. 2002. Courier Dover Publications. p. 451
1850s
Kontext: Perhaps it is in the thought that there does exist an Intelligence and Will superior to our own,—that the evolution of the destinies of our species is not solely the product either of human waywardness or of human wisdom; perhaps, I say, it is in this thought, that the conception of humanity attains its truest dignity. When, therefore, I use this term, I would be understood to mean by it the human race, viewed in that mutual connexion and dependence which has been established, as I firmly believe, for the accomplishment of a purpose of the Divine mind... One eminent instance of that connexion and dependence to which I have referred is to be seen in the progression of the arts and sciences. Each generation as it passes away bequeaths to its successor not only its material works in stone and marble, in brass and iron, but also the truths which it has won, and the ideas which it has learned to conceive; its art, literature, science, and, to some extent, its spirit and morality. This perpetual transmission of the light of knowledge and civilisation has been compared to those torch-races of antiquity in which a lighted brand was transmitted from one runner to another until it reached the final goal. Thus, it has been said, do generations succeed each other, borrowing and conveying light, receiving the principles of knowledge, testing their truth, enlarging their application, adding to their number, and then transmitting them forward to coming generations
“I firmly believe, for the accomplishment of a purpose of the Divine mind…”
George Boole (1854), "Address at Cork" as cited in: R. H. Hutton, " Professor Boole http://books.google.com/books?id=pfMEAAAAQAAJ&pg=PA165," (1866), p. 165; Also cited in: Boole, George. Studies in Logic and Probability. 2002. Courier Dover Publications. p. 451
1850s
Kontext: Perhaps it is in the thought that there does exist an Intelligence and Will superior to our own,—that the evolution of the destinies of our species is not solely the product either of human waywardness or of human wisdom; perhaps, I say, it is in this thought, that the conception of humanity attains its truest dignity. When, therefore, I use this term, I would be understood to mean by it the human race, viewed in that mutual connexion and dependence which has been established, as I firmly believe, for the accomplishment of a purpose of the Divine mind... One eminent instance of that connexion and dependence to which I have referred is to be seen in the progression of the arts and sciences. Each generation as it passes away bequeaths to its successor not only its material works in stone and marble, in brass and iron, but also the truths which it has won, and the ideas which it has learned to conceive; its art, literature, science, and, to some extent, its spirit and morality. This perpetual transmission of the light of knowledge and civilisation has been compared to those torch-races of antiquity in which a lighted brand was transmitted from one runner to another until it reached the final goal. Thus, it has been said, do generations succeed each other, borrowing and conveying light, receiving the principles of knowledge, testing their truth, enlarging their application, adding to their number, and then transmitting them forward to coming generations
these, though but the feeble steps of an understanding limited in its faculties and its materials of knowledge, are of more avail than the ambitious attempt to arrive at a certainty unattainable on the ground of natural religion. And as these were the most ancient, so are they still the most solid foundations, Revelation being set apart, of the belief that the course of this world is not abandoned to chance and inexorable fate.
Also found in Boole, George (1851). The claims of science, especially as founded in its relations to human nature; a lecture, Volume 15. p. 24
Zdroj: 1850s, An Investigation of the Laws of Thought (1854), p. 217: Ch. 13. Clarke and Spinoza : Concluding remarks of the chapter
“They are in all cases, and in the strictest sense of the term, probable conclusions”
Zdroj: 1850s, An Investigation of the Laws of Thought (1854), p. 4; Ch. 1. Nature And Design Of This Work
Kontext: The general laws of Nature are not, for the most part, immediate objects of perception. They are either inductive inferences from a large body of facts, the common truth in which they express, or, in their origin at least, physical hypotheses of a causal nature serving to explain phenomena with undeviating precision, and to enable us to predict new combinations of them. They are in all cases, and in the strictest sense of the term, probable conclusions, approaching, indeed, ever and ever nearer to certainty, as they receive more and more of the confirmation of experience. But of the character of probability, in the strict and proper sense of that term, they are never wholly divested. On the other hand, the knowledge of the laws of the mind does not require as its basis any extensive collection of observations. The general truth is seen in the particular instance, and it is not confirmed by the repetition of instances.
Zdroj: 1840s, The Mathematical Analysis of Logic, 1847, p. ii: Lead paragraph of the Introduction
George Boole, " Solution of a Question in the Theory of Probabilities http://books.google.nl/books?id=9xtDAQAAIAAJ&pg=PA32" (30 November 1853) published in The London, Edinburgh and Dublin Philosophical Magazine and Journal of Science (January 1854), p. 32
1850s
George Boole " Mr Boole on a General Method in Analysis http://books.google.com/books?id=aGwOAAAAIAAJ&pg=PA279," Philosophical Transactions, Vol. 134 (1844), p. 279, Footnote
1840s
Zdroj: 1850s, An Investigation of the Laws of Thought (1854), p. 375, as cited in: Lev D. Beklemishev (2000) Provability, Computability and Reflection, p. 432
Boole to De Morgan, 19 June 1843; in: G.C. Smith. The Boole-DeMorgan Correspondence 1842-1864 https://archive.org/stream/TheBoole-demorganCorrespondence1842-1864/Smith-TheBoole-demorganCorrespondence1842-1864#page/n17/mode/2u, Oxford University Press 1982. p. 10
1840s
George Boole, An Investigation of the Laws of Thought (1854) Ch. 13. Clarke and Spinoza, pp. 216-217. https://books.google.com/books?id=DqwAAAAAcAAJ&pg=PA216
A - F
Zdroj: 1850s, An Investigation of the Laws of Thought (1854), p. 6; As cited in: Leandro N. De Castro, Fernando J. Von Zuben, Recent Developments in Biologically Inspired Computing, Idea Group Inc (IGI), 2005 p. 236
Zdroj: 1840s, The Mathematical Analysis of Logic, 1847, p. 5
Zdroj: 1850s, A treatise on differential equations (1859), p. v; cited in: Quotations by George Boole http://www-history.mcs.st-and.ac.uk/Quotations/Boole.html, MacTutor History of Mathematics, August 2010.
George Boole in letter to a friend, 1840, cited in: R. H. Hutton, " Professor Boole http://books.google.com/books?id=pfMEAAAAQAAJ&pg=PA147," in: The British Quarterly Review. (1866), p. 147; Cited in Des MacHale. George Boole: his life and work, Boole Press, 1985. p. 52
1840s
Zdroj: 1850s, An Investigation of the Laws of Thought (1854), p. 165; As cited in: James Joseph Sylvester, James Whitbread Lee Glaisher (1910) The Quarterly Journal of Pure and Applied Mathematics. p. 350
Attributed to George Boole in: Des MacHale (1993) Comic sections: the book of mathematical jokes, humour, and wisdom. p, 107
Attributed from posthumous publications
Zdroj: 1850s, An Investigation of the Laws of Thought (1854), p. 3: as cited in: John Cohen (1966) A new introduction to psychology. p. 121
Zdroj: 1850s, An Investigation of the Laws of Thought (1854), p. 37; Cited in: William Torrey Harris (1879) The Journal of Speculative Philosophy, p. 109
Zdroj: 1850s, An Investigation of the Laws of Thought (1854), p. 49: as cited in: " Professor Boole's Mathematical theory http://books.google.com/books?id=tBNLAAAAYAAJ&pg=PA62" in: Henry Longueville Manse, Philosophical pamphlets, (1853), p. 6
Zdroj: 1850s, An Investigation of the Laws of Thought (1854), p. 243-4; As cited in: "George Boole (1815–64)" in: Oxford Dictionary of Scientific Quotations, Edited by W. F. Bynum and Roy Porter, January 2006
Zdroj: 1850s, An Investigation of the Laws of Thought (1854), p. 244; Cited in: Michael J. Katz (1986) Templets and the Explanation of Complex Patterns, p. 123
“It is not of the essence of mathematics to be conversant with the ideas of number and quantity.”
Zdroj: 1850s, An Investigation of the Laws of Thought (1854), p. 12; Cited in: Alexander Bain (1870) Logic, p. 191