Every one who understands the subject will agree that even the basis on which the scientific explanation of nature rests is intelligible only to those who have learned at least the elements of the differential and integral calculus, as well as analytical geometry.

Felix Klein

Categorized in : Elements Calculus Geometry

The greatest mathematicians, as Archimedes, Newton, and Gauss, always united theory and applications in equal measure.

Felix Klein

mathematician newton theory

Everyone knows what a curve is, until he has studied enough mathematics to become confused through the countless number of possible exceptions.

Felix Klein

confused math numbers

Regarding the fundamental investigations of mathematics, there is no final ending ... no first beginning.

Felix Klein

finals fundamentals firsts

Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs.

Felix Klein

intuition sensual math

Mathematics in general is fundamentally the science of self-evident things.

Felix Klein

evident mathematics self

The presentation of mathematics in schools should be psychological and not systematic. The teacher, so to speak, should be a diplomat. He must take account of the psychic processes in the boy in order to grip his interest, and he will succeed only if he presents things in a form intuitively comprehensible. A more abstract presentation is only possible in the upper classes.

Felix Klein

teacher boys school

It is well known that the central problem of the whole of modern mathematics is the study of transcendental functions defined by differential equations.

Felix Klein

ontology logic study

The developing science departs at the same time more and more from its original scope and purpose and threatens to sacrifice its earlier unity and split into diverse branches.

Felix Klein

unity sacrifice purpose

The teacher manages to get along still with the cumbersome algebraic analysis, in spite of its difficulties and imperfections, and avoids the smooth infinitesimal calculus, although the eighteenth century shyness toward it had long lost all point.

Felix Klein

teacher science long

Among mathematicians in general, three main categories may be distinguished; and perhaps the names logicians, formalists, and intuitionists may serve to characterize them.

Felix Klein

three names may

Projective geometry has opened up for us with the greatest facility new territories in our science, and has rightly been called the royal road to our particular field of knowledge.

Felix Klein

royal territory fields

I call on all citizens of Berlin and across Germany to wear the yarmulke( as the skullcap is known in Yiddish) next Saturday if there are new, intolerable attacks targeting Israel and Jews on the occasion of Al-Quds Day in Berlin, by doing this we can show a great sign of solidarity with the Jewish community and make a statement for the freedom of religion and the diversity of our society.

Felix Klein

top-news

The word Jew as an insult was not common when I went to school, now it is, and it's even an insult at schools where there are no Jewish students. That's a problem.

Felix Klein

world

When we talk about Muslim-originated anti-Semitism, I think we can only win that battle with the help of the moderate Muslims, without them, this won't be a successful fight.

Felix Klein

world

I don't want to say the AfD is anti-Semitic, per se, but it tolerates representatives who are demanding a new policy of remembrance, they initiated this discussion about drawing a line (under the Holocaust) and that is very dangerous because it helps make anti-Semitism presentable again.

Felix Klein

world

This would not only send an important signal, but would allow Muslim groups to ask for solidarity when a mosque or a woman wearing a head covering are attacked.

Felix Klein

world