§ 1.
Linear Associative Algebra (1882)
Context: The sphere of mathematics is here extended, in accordance with the derivation of its name, to all demonstrative research, so as to include all knowledge strictly capable of dogmatic teaching. Mathematics is not the discoverer of laws, for it is not induction; neither is it the framer of theories, for it is not hypothesis; but it is the judge over both, and it is the arbiter to which each must refer its claims; and neither law can rule nor theory explain without the sanction of mathematics. It deduces from a law all its consequences, and develops them into the suitable form for comparison with observation, and thereby measures the strength of the argument from observation in favor of a proposed law or of a proposed form of application of a law.
Mathematics, under this definition, belongs to every enquiry, moral as well as physical. Even the rules of logic, by which it is rigidly bound, could not be deduced without its aid. The laws of argument admit of simple statement, but they must be curiously transposed before they can be applied to the living speech and verified by, observation.
“All presentation, all demonstration—and the presentation of thought is demonstration—has, according to its original determination—and this is all that matters to us—the cognitive activity of the other person as its ultimate aim.”
Z. Hanfi, trans., in The Fiery Brook (1972), p. 67
Towards a Critique of Hegel’s Philosophy (1839)
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Ludwig Feuerbach 36
German philosopher and anthropologist 1804–1872Related quotes
Simpson in: Elie Alexis Shneour (1966) Extraterrestrial Life: An Anthology and Bibliography. p. 269
Speech https://api.parliament.uk/historic-hansard/commons/1935/oct/24/international-situation in the House of Commons (24 October 1935)
The 1930s
“They believe in the miracles of the past, and deny the demonstrations of the present”
The Truth (1896)
Context: These men are the enemies of science—of intellectual progress. They ridicule and calumniate the great thinkers. They deny everything that conflicts with the “sacred Scriptures.” They still believe in the astronomy of Joshua and the geology of Moses. They believe in the miracles of the past, and deny the demonstrations of the present. They are the foes of facts—the enemies of knowledge. A desire to be happy here, they regard as wicked and worldly—but a desire to be happy in another world, as virtuous and spiritual.
Source: The Limits of Evolution, and Other Essays, Illustrating the Metaphysical Theory of Personal Ideaalism (1905), The Harmony of Determinism and Freedom, p.353-4
" Thoughts about the Tasks of the Future https://books.google.com/books?id=fG_oAAAAIAAJ&pg=PA87", by Gregor Strasser - (1926 June 15)
Source: The Limits of Evolution, and Other Essays, Illustrating the Metaphysical Theory of Personal Ideaalism (1905), The Harmony of Determinism and Freedom, p.327
Source: 1920s, Science and the Modern World (1925), Ch. 11: "God"