The sculptor, and the painter also, should be trained in these liberal arts: grammar, geometry, philosophy, medicine, astronomy, perspective, history, anatomy, theory of design, arithmetic.
Architects should be educated, skillful with the pencil, instructed in geometry, know much history, have followed the philosophers with attention, understand music, have some knowledge of medicine, know the opinions of the jurists, and be acquainted with astronomy and the theory of the heavens
Those arts which are, to be sure, not finite, as geometry and arithmetic, do not suffer adornment; others, contrarily, are rather subject to division and embellishment, such as astronomy and jurisprudence.
In fact, Gentlemen, no geometry without arithmetic, no mechanics without geometry... you cannot count upon success, if your mind is not sufficiently exercised on the forms and demonstrations of geometry, on the theories and calculations of arithmetic ... In a word, the theory of proportions is for industrial teaching, what algebra is for the most elevated mathematical teaching.
So if the worth of the arts were measured by the matter with which they deal, this art-which some call astronomy, others astrology, and many of the ancients the consummation of mathematics-would be by far the most outstanding. This art which is as it were the head of all the liberal arts and the one most worthy of a free man leans upon nearly all the other branches of mathe matics. Arithmetic, geometry, optics, geodesy, mechanics, and whatever others, all offer themselves in its service.
At the Egyptian city of Naucratis there was a famous old god whose name was Theuth; the bird which is called the Ibis was sacred to him, and he was the inventor of many arts, such as arithmetic and calculation and geometry and astronomy and draughts and dice, but his great discovery was the use of letters.
In creating the world, God used arithmetic, geometry, and likewise astronomy.
Astronomy was born of superstition; eloquence of ambition, hatred, falsehood, and flattery; geometry of avarice; physics of an idle curiosity; and even moral philosophy of human pride. Thus the arts and sciences owe their birth to our vices.
Geometry is to the plastic arts what grammar is to the art of the writer.
No person who is not a great sculptor or painter can be an architect. If he is not a sculptor or painter, he can only be a builder.
My dad's wife, my stepmom, is a serious painter. My dad also paints. My mother is a brilliant sculptor, and her husband is a sculptor.
Is it not evident, in these last hundred years (when the Study of Philosophy has been the business of all the Virtuosi in Christendome) that almost a new Nature has been revealed to us? that more errours of the School have been detected, more useful Experiments in Philosophy have been made, more Noble Secrets in Opticks, Medicine, Anatomy, Astronomy, discover'd, than in all those credulous and doting Ages from Aristotle to us? So true it is that nothing spreads more fast than Science, when rightly and generally cultivated.
I am coming more and more to the conviction that the necessity of our geometry cannot be demonstrated, at least neither by, nor for, the human intellect. . . Geometry should be ranked, not with arithmetic, which is purely aprioristic, but with mechanics.
Grammar is to a writer what anatomy is to a sculptor, or the scales to a musician. You may loathe it, it may bore you, but nothing will replace it, and once mastered it will support you like a rock.
Medicine rests upon four pillars - philosophy, astronomy, alchemy, and ethics.
A couturier must be an architect for design, a sculptor for shape, a painter for color, a musician for harmony, and a philosopher for temperance.
Where philosophy ends, poetry must commence. There should not be a common point of view, a natural manner of thinking which standsin contrast to art and liberal education, or mere living; that is, one should not conceive of a realm of crudeness beyond the boundaries of education. Every conscious link of an organism should not perceive its limits without a feeling for its unity in relation to the whole. For example, philosophy should not only be contrasted to non-philosophy, but also to poetry.