Clergyman's

It is absurd to assume that upon the rigid earth-crust the organic originated from the inorganic. In order to explain the nascence of the lowest organisms on the earth-crust, one must assume an already existing organising principle or a thought-process, under conditions that would render organic combinations impossible. We must accordingly assume that these conditions are valid only for the life-process in the actual state of the earth's surface, and only so far as we can explain them may we estimate the possibility of life-processes under other conditions.
- Bernhard Riemann

With every simple act of thinking, something permanent, substantial, enters our soul. This substantial somewhat appears to us as a unit but it seems to contain an inner manifoldness; I therefore name it ""mind-mass."" All thinking is, accordingly, formation of new mind masses.
- Bernhard Riemann

The different thought-processes seem to differ chiefly in respect to their temporal rhythm. If plants have souls, then hours and days must be for them what seconds are for us. The corresponding period for the earth-soul, at least for its outward activity, possibly embraces many thousands of years.
- Bernhard Riemann

Definite portions of a manifoldness, distinguished by a mark or by a boundary, are called Quanta. Their comparison with regard to quantity is accomplished in the case of discrete magnitudes by counting, in the case of continuous magnitudes by measuring. Measure consists in the superposition of the magnitudes to be compared; it therefore requires a means of using one magnitude as the standard for another. In the absence of this, two magnitudes can only be compared when one is a part of the other; in which case also we can only determine the more or less and not the how much. The researches which can in this case be instituted about them form a general division of the science of magnitude in which magnitudes are regarded not as existing independently of position and not as expressible in terms of a unit, but as regions in a manifoldness.
- Bernhard Riemann

There remains only the assumption that the ponderable masses within the rigid earth-crust are supporters of the soul-life of the earth.
- Bernhard Riemann

There remains only the assumption that the ponderable masses within the rigid earth-crust are supporters of the soul-life of the earth.
- Bernhard Riemann

I. Thesis. Finite elements of Space and Time. Antithesis. Continuity.
- Bernhard Riemann

I. Thesis. Finite elements of Space and Time. Antithesis. Continuity.
- Bernhard Riemann

I. Thesis. Finite elements of Space and Time. Antithesis. Continuity.
- Bernhard Riemann

I. Thesis. Finite elements of Space and Time. Antithesis. Continuity.
- Bernhard Riemann