Geometer Quotes (2)
The Geometer has the special privilege to carry out, by abstraction, all constructions by means of the intellect.
In Paolo Mancosu, Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century (1999), 138-139.
The new painters do not propose, any more than did their predecessors, to be geometers. But it may be said that geometry is to the plastic arts what grammar is to the art of the writer. Today, scholars no longer limit themselves to the three dimensions of Euclid. The painters have been lead quite naturally, one might say by intuition, to preoccupy themselves with the new possibilities of spatial measurement which, in the language of the modern studios, are designated by the term fourth dimension.
The Cubist Painters: Aesthetic Meditations (1913) translated by Lionel Abel (1970), 13. Quoted in Michele Emmer, The Visual Mind II (2005), 352.
