The ratio of the number of real to rational numbers is about 5

How can this be claimed? Rational numbers can be sorted and even counted. But real numbers can also be sorted and counted - in practice. If we do not want to take them as mere symbols, but relate them to the rest of the world, so that we can do calculations with them, we use … Continue reading The ratio of the number of real to rational numbers is about 5

The Heat Death of Interest Rates

Global development of interest rates since 1350 The "Zeit" reports on the study by Paul Schmelzing from Yale University about the long-term decrease in lending rates. The low interest rates run parallel to another development: productivity growth in the OECD countries is only just above zero. OECD yearly labour productivity growth (source) Interest on loans … Continue reading The Heat Death of Interest Rates

Does CO2 fertilization make the world greener – or not?

Credit: NASA There are many news about the decrease of the earth's forest area, but there are also a number of publications documenting a greening due to the CO2 fertilization effect and other human influences such as nitrogen fertilization. As one example I give a paper from 2013, the title of which gives hope: "Deserts … Continue reading Does CO2 fertilization make the world greener – or not?

Illusive Numbers

Spontaneous mathematical speculation. Irrational numbers are characterized by the fact that they can only be described as the limiting value of a sequence. I wondered if there are numbers that cannot even be described that way. I would call them "illusive numbers". The sequences that describe the known irrational numbers, arise from recursive instructions, that … Continue reading Illusive Numbers

Some basic concepts of climate neutral building

As construction and use of buildings is one of the largest contributors of GHGs, this sector has to undergo a major transformation to achieve climate neutrality. use wood Concerning construction, the use of concrete has to be avoided, because the production of cement is a particularly emission intensive process (see e.g. here). The best solution … Continue reading Some basic concepts of climate neutral building