— Henri Poincaré, libro Science and Hypothesis
Ch. I: On the Nature of Mathematical Reasoning (1905) Tr. https://books.google.com/books?id=5nQSAAAAYAAJ George Bruce Halstead
Science and Hypothesis (1901)
Contesto: 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
„If anything, Theory of the Subject is a work of Marxist philosophy that contains all of the contradictions reached by Marxism-Leninism, while being, at the same time, aware that these contradictions are contradictions insofar as they point to the necessity of a new rupture in revolutionary science.“
— J. Moufawad-Paul Canadian academic and writer
Continuity and Rupture:Philosophy in the Maoist Terrain (2016)
— Claude Cohen-Tannoudji French physicist 1933
Quantum Physics: From Basic Concepts to Applications. Honeywell-Nobel Laureate Lecture Series at the Jawaharlal Nehru Technological University, Hyderabad (September 15, 2008), at 1:52 http://www.honeywellscience.com/virtual_lab/default.sps?categoryname=Claude%20Cohen-Tannoudji&videoid=.
„It is the business of the future to be dangerous; and it is among the merits of science that it equips the future for its duties.“
— Alfred North Whitehead English mathematician and philosopher 1861 - 1947
Ch. 13: Requisites for Social Progress.
1920s, Science and the Modern World (1925)
„Do not mathematics and all sciences seem full of contradictions and impossibilities to the ignorant, which are all resolved and cleared to those that understand them?“
— Richard Baxter English Puritan church leader, poet, and hymn-writer 1615 - 1691
Reported in Josiah Hotchkiss Gilbert, Dictionary of Burning Words of Brilliant Writers (1895), p. 36.
„Perhaps an underlying cause [of doubt as to the future of information science] is in some cases… the apprehension that information science may become “submerged” in the larger field of computer science.“
— Brian Campbell Vickery British information theorist 1918 - 2009
p. xxviii; As cited in: Lyn Robinson and David Bawden (2011).
Meeting the challenge (2009)
„Science can never grapple with the irrational. That is why it has no future before it, in this world.“
— Oscar Wilde, Un marito ideale
Mrs Cheveley, Act I
An Ideal Husband (1895)
„The science fiction approach doesn't mean it's always about the future; it's an awareness that this is different.“
— Neal Stephenson American science fiction writer 1959
A Conversation With Neal Stephenson http://www.sfsite.com/10b/ns67.htm
„As soon as an Analytical Engine exists, it will necessarily guide the future course of the science.“
— Charles Babbage mathematician, philosopher, inventor and mechanical engineer who originated the concept of a programmable computer 1791 - 1871
Passages from the Life of a Philosopher (1864), ch. 8 "Of the Analytical Engine"
Passages from the Life of a Philosopher (1864)
Contesto: As soon as an Analytical Engine exists, it will necessarily guide the future course of the science. Whenever any result is sought by its aid, the question will then arise — by what course of calculation can these results be arrived at by the machine in the shortest time?
„As opposed to science ideology has the precise function of hiding the real contradictions and of reconstituting on an imaginary level a relatively coherent discourse which serves as the horizon of agents' experience.“
— Terry Eagleton British writer, academic and educator 1943
1990s, Ideology (1991)
„With the ever-growing impact of science on our lives, religion and spirituality have a greater role to play by reminding us of our humanity. There is no contradiction between the two.“
— Tenzin Gyatso spiritual leader of Tibet 1935
Nobel acceptance speech (1989)
Contesto: With the ever-growing impact of science on our lives, religion and spirituality have a greater role to play by reminding us of our humanity. There is no contradiction between the two. Each gives us valuable insights into the other. Both science and the teachings of the Buddha tell us of the fundamental unity of all things. This understanding is crucial if we are to take positive and decisive action on the pressing global concern with the environment. I believe all religions pursue the same goals, that of cultivating human goodness and bringing happiness to all human beings. Though the means might appear different the ends are the same.
„The man who blames the supreme certainty of mathematics feeds on confusion, and can never silence the contradictions of sophistical sciences which lead to an eternal quackery.“
— Leonardo Da Vinci Italian Renaissance polymath 1452 - 1519
XIX Philosophical Maxims. Morals. Polemics and Speculations.
„Science fiction encourages us to explore… all the futures, good and bad, that the human mind can envision.“
— Marion Zimmer Bradley Novelist, editor 1930 - 1999
As quoted in The Faces of Science Fiction (1984) by Patti Perret
„Our strongest ally in the battle against death is the combination of futurism, transhumanism, science, technology, philosophy, and politics.“
— Newton Lee American computer scientist
Google It: Total Information Awareness, 2016
„Science fiction pretends to look into the future but it’s really looking at a reflection of what is already in front of us.“
— Ray Bradbury American writer 1920 - 2012
The Paris Review interview (2010)
Contesto: I often use the metaphor of Perseus and the head of Medusa when I speak of science fiction. Instead of looking into the face of truth, you look over your shoulder into the bronze surface of a reflecting shield. Then you reach back with your sword and cut off the head of Medusa. Science fiction pretends to look into the future but it’s really looking at a reflection of what is already in front of us.
„Does there truly exist an insuperable contradiction between religion and science? Can religion be superseded by science? The answers to these questions have, for centuries, given rise to considerable dispute and, indeed, bitter fighting. Yet, in my own mind there can be no doubt that in both cases a dispassionate consideration can only lead to a negative answer.“
— Albert Einstein German-born physicist and founder of the theory of relativity 1879 - 1955
1940s, Religion and Science: Irreconcilable? (1948)
Contesto: Does there truly exist an insuperable contradiction between religion and science? Can religion be superseded by science? The answers to these questions have, for centuries, given rise to considerable dispute and, indeed, bitter fighting. Yet, in my own mind there can be no doubt that in both cases a dispassionate consideration can only lead to a negative answer. What complicates the solution, however, is the fact that while most people readily agree on what is meant by "science," they are likely to differ on the meaning of "religion."
„Everything tends to make us believe that there exists a certain point of the mind at which life and death, the real and the imagined, past and future, the communicable and the incommunicable, high and low, cease to be perceived as contradictions.“
— André Breton, libro Manifestoes of Surrealism
Origine: Manifestoes of Surrealism
„I must hold in balance the sense of the futility of effort and the sense of the necessity to struggle; the conviction of the inevitability of failure and still the determination to "succeed" — and, more than these, the contradiction between the dead hand of the past and the high intentions of the future.“
— F. Scott Fitzgerald American novelist and screenwriter 1896 - 1940
Quoted, The Crack-Up (1936)