Any author who uses mathematics should always express in ordinary language the meaning of the assumptions he admits, as well as the significance of the results obtained. The more abstract his theory, the more imperative this obligation. In fact, mathematics are and can only be a tool to explore reality. In this exploration, mathematics do not constitute an end in itself, they are and can only be a means.
Maurice AllaisRelated topics
abstract end exploration explore imperative language mathematics meaning should significance well means usesRelated quotes
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
I always get into arguments with people who want to retain the old values in painting - the humanistic values that they... find on the canvas. If you pin them down, they always end up asserting that there is something there besides the paint on the canvas. My painting is based on the fact that only what can be seen there is there... What you see is what you get.
Frank Stella
In the form of the oeuvre, the actual circumstances are placed in another dimension where the given reality shows itself as that which it is. Thus it tells the truth about itself; its language ceases to be that of deception, ignorance, and submission. Fiction calls the facts by their name and their reign collapses; fiction subverts everyday experience and shows it to be mutilated and false.
Herbert Marcuse
When you are insulted by someone or humiliated, guard against angry thoughts, lest they arouse a feeling of irritation, and so cut you off from love and place you in the realm of hatred. You should know that you have been greatly benefited when you have suffered deeply because of some insult or indignity; for by means of the indignity self-esteem has been driven out of you.
Maximus the Confessor
An engineering science aims to organize the design principles used in engineering practice into a discipline and thus to exhibit the similarities between different areas of engineering practice and to emphasize the power of fundamental concepts. In short, an engineering science is predominated by theoretical analysis and very often uses the tool of advanced mathematics.
Qian Xuesen