Ignoramus et ignorabimus

Emil du Bois-Reymond first used the words and at the close of his keynote address to the 1872 Congress of German Scientists and Physicians. As he saw it, science was bounded by two limits: the ultimate nature of matter and the enigma of consciousness. Eight years later, in a speech before the Prussian Academy of Sciences, he expanded his list of conundrums to seven "world riddles" or "shortcomings" of science. Three of these he declared to be "transcendent", or permanently unknowable: "1. the ultimate nature of matter and energy, 2. the origin of motion, ... 5. the origin of simple sensations." == Hilbert's reaction ==

David Hilbert, a widely respected German mathematician, suggested that such a conceptualization of human knowledge was too pessimistic, and that by considering questions unsolvable we limit our understanding. In 1900, during an address to the International Congress of Mathematicians in Paris, Hilbert suggested that answers to problems of mathematics are possible with human effort. He declared, "in mathematics there is no ", and he worked with other formalists to establish foundations for mathematics during the early 20th century. On 8 September 1930, Hilbert elaborated his opinion in a celebrated address to the Society of German Scientists and Physicians, in Königsberg: As this excludes the possibility of an absolute proof of consistency, there must always remain an ineliminable degree of insecurity about the foundations of mathematics: we will never be capable of knowing, once and for all, with a certainty unimpeachable even by the most stout skepticism, that there is no contradiction in our basic theories. (Note that this does not mean that such skepticism is rational; it only means that it cannot be refuted with absolute rigour.) == Other responses ==

The sociologist Wolf Lepenies discussed the with the opinion that du Bois-Reymond was not really pessimistic about science: This was in regards to Friedrich Wolters, one of the members of the literary group "George-Kreis". Lepenies thought that Wolters misunderstood the degree of pessimism being expressed about science, but understood the implication that scientists themselves could be trusted with self-criticism. Lepenies was repeating the criticism, first leveled in 1874 by du Bois-Reymond's rival Ernst Haeckel, that the "seemingly humble but actually presumptuous is the of the infallible Vatican and of the 'Black International' which it heads." Haeckel overstated his charge: du Bois-Reymond had never supported the Catholic Church, and far from professing humility he reminded his audience that while our knowledge was indeed bounded by mysteries of matter and mind, within these limits "the man of science is lord and master; he can analyze and synthesize, and no one can fathom the extent of his knowledge and power". In response to his critics du Bois-Reymond modified his watchword in "The Seven World Riddles" (1880) to that of ("We doubt it.") William James referred to "Ignoramus, ignorabimus" in his lecture "Reflex Action and Theism" (1881) as an expression of agnosticism, which gives man no practical tools for his volitions. James had attended du Bois-Reymond's lectures in Berlin.To the average citizen who reads as he runs, and who is unacquainted with any tongue save his native British, it may well appear that the Gospel of Unbelief, preached among us during the last half-century, has had its four Evangelists–the Quadrilateral, as they have been called, whose works and outworks, demilunes and frowning bastions, take the public eye, while above them floats the agnostic banner with its strange device, "Ignoramus et Ignorabimus." The issue of whether science has limits continues to attract scholarly attention. ==See also==