But Hermotimus, the Colophonian, rendered more abundant what was formerly published by Eudoxus and Theætetus, and invented a multitude of elements, and wrote concerning some geometrical places. But Philippus the Mendæan, a disciple of Plato, and by him inflamed in the mathematical disciplines, both composed questions, according to the institutions of Plato, and proposed as the object of his enquiry whatever he thought conduced to the Platonic philosophy.
ProclusRelated topics
concerning disciple enquiry multitude object philosophy platonic thought whatever elements colophonian plato questionsRelated quotes
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Jennifer Beals
Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality. Though different traditions may emphasize different aspects, it is only the interplay of these antithetic forces and the struggle for their synthesis that constitute the life, usefulness, and supreme value of mathematical science.
Richard Courant
At the classical origins of philosophic thought, the transcending concepts remained committed to the prevailing separation between intellectual and manual labor to the established society of enslavement. ... Those who bore the brunt of the untrue reality and who, therefore, seemed to be most in need of attaining its subversion were not the concern of philosophy. It abstracted from them and continued to abstract from them.
Herbert Marcuse
Geometry is of much assistance in architecture, and in particular it teaches us the use of the rule and compasses, by which especially we acquire readiness in making plans for buildings in their grounds, and rightly apply the square, the level, and the plummet. By means of optics the light in buildings can be drawn from fixed quarters of the sky. Difficult questions involving symmetry are solved by means of geometrical theories and methods.
Vitruvius
The philosopher ... subjects experience to his critical judgment, and this contains a value judgment namely, that freedom from toil is preferable to toil, and an intelligent life is preferable to a stupid life. It so happened that philosophy was born with these values. Scientific thought had to break this union of value judgment and analysis, for it became increasingly clear that the philosophic values did not guide the organisation of society.
Herbert Marcuse
