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Logic is usually understood nowadays as a study of certain formal systems, though in former times there were philosophers who held that the subject matter of logic was the formal rules of human thought.

— Hans Freudenthal

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Mind

More quotes by Hans Freudenthal

Horizontal mathematising leads from the world of life to the world of symbols.

Revisiting Mathematics Education (1991)

Angles are measured by arcs, such that 360° and 2π correspond to each other.

Mathematics as an Educational Task (1973)

Vertical mathematising is the most likely part of the learning process for the bonds with reality to be loosened and eventually cut.

Revisiting Mathematics Education (1991)

Educational technique needs a philosophy, which is a matter of faith rather than of science.

Hans Freudenthal (1977)

No scientist is as model minded as is the statistician; in no other branch of science is the word model as often and consciously used as in statistics.

The Concept and the Role of the Model in Mathematics and Natural and Social Sciences (1961)

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The most merciful thing in the world, I think, is the inability of the human mind to correlate all its contents.

H. P. Lovecraft The Call of Cthulhu (1926)

Anyone who believes exponential growth can go on forever in a finite world is either a madman or an economist.

Kenneth Boulding to Kenneth Boulding in: United States. Congress. House (1973)

The greater part of humanity is too much harassed and fatigued by the struggle with want, to rally itself for a new and sterner struggle with error.

Friedrich Schiller On the Aesthetic Education of Man (1794)

The reasonable man adapts himself to the world: the unreasonable one persists in trying to adapt the world to himself. Therefore all progress depends on the unreasonable man.

George Bernard Shaw Maxims for Revolutionists (1903)

Attribution

Quote text and notes from Wikiquote: Hans Freudenthal (page history), available under CC BY-SA 4.0. Source quality and labels are our own summary of what Wikiquote records.