# Georg Friedrich Bernhard Riemann idézet

## Georg Friedrich Bernhard Riemann

**Születési dátum:** 17. szeptember 1826**Halál dátuma:** 20. július 1866

Georg Friedrich Bernhard Riemann német matematikus, aki rövid élete ellenére úttörő munkát végzett a matematikai analízis, differenciálgeometria, matematikai fizika és analitikus számelmélet területén. Wikipedia

### Idézetek Georg Friedrich Bernhard Riemann

### „II. Thesis. In order that decision by arbitrary power may be possible in spite of completely definite laws of the action of ideas, one must assume that the psychic mechanism itself has, or at least in its development acquires, the peculiar property of inducing the necessity of these laws. Antithesis.“

No one can, in case of affairs, abandon the conviction that the future is co-determined by his transactions.

Antimonies

Gesammelte Mathematische Werke (1876)

### „II. Thesis. Freedom, i. e., not the power absolutely to originate, but to pass judgement between two or more possibilities. Antithesis.“

Determinism.

Antimonies

Gesammelte Mathematische Werke (1876)

### „The souls of perished creatures shall… form the elements of the soul-life of the earth.“

Gesammelte Mathematische Werke (1876)

### „Forming mind-masses amalgamate, combine or compound themselves in definite degree, partly with each other, partly with older mind-masses. The manner and strength of these combinations depend on conditions which are but imperfectly recognised by Herbart… They depend chiefly upon the inner relationship of the mind-masses.“

Gesammelte Mathematische Werke (1876)

### „Nevertheless, it remains conceivable that the measure relations of space in the infinitely small are not in accordance with the assumptions of our geometry [Euclidean geometry], and, in fact, we should have to assume that they are not if, by doing so, we should ever be enabled to explain phenomena in a more simple way.“

Memoir (1854) Tr. William Kingdon Clifford, as quoted by A. D'Abro, The Evolution of Scientific Thought from Newton to Einstein https://archive.org/details/TheEvolutionOfScientificThought (1927) p. 55.

### „Magnitude-notions are only possible where there is an antecedent general notion which admits of different specialisations. According as there exists among these specialisations a continuous path from one to another or not, they form a continuous or discrete manifoldness; the individual specialisations are called in the first case points, in the second case elements, of the manifoldness.“

On the Hypotheses which lie at the Bases of Geometry (1873)

### „III. Thesis. A God working in Time. (Government of the world). Antithesis. A timeless, personal, omniscient, al-mighty, all-benevolent God“

Providence

Antimonies

Gesammelte Mathematische Werke (1876)

### „As is known, scientific physics dates its existence from the discovery of the differential calculus. Only when it was learned how to follow continuously the course of natural events, attempts, to construct by means of abstract conceptions the connection between phenomena, met with success. To do this two things are necessary: First, simple fundamental concepts with which to construct; second, some method by which to deduce, from the simple fundamental laws of the construction which relate to instants of time and points in space, laws for finite intervals and distances, which alone are accessible to observation“

can be compared with experience

Die partiellen Differentialgleichungen der mathematischen Physik (1882) as quoted by Robert Édouard Moritz, Memorabilia Mathematica; Or, The Philomath's Quotation-book https://books.google.com/books?id=G0wtAAAAYAAJ (1914) p. 239