Conceptual Development Quotes

The idea should come first, the startup should come second.

Philosophy is tested and characterised by the way in which it appropriates its history.

Every science begins as philosophy and ends as art; it arises in hypothesis and flows into achievement.

The law is this: that each of our leading conceptions-each branch of our knowledge-passes successively through three different theoretical conditions: the Theological, or fictitious: the Metaphysical, or abstract; and the Scientific, or positive.

Thus with every advance in our scientific knowledge new elements come up, often forcing us to recast our entire picture of physical reality. No doubt, theorists would much prefer to perfect and amend their theories rather than be obliged to scrap them continually. But this obligation is the condition and price of all scientific progress.

Whenever we proceed from the known to the unkown we may hope to understand, but we may have to learn at the same time a new meaning of the word 'understanding'

The life of a thinking man will probably be divided into two parts -- the first in which he desires to exterminate modern thinkers, and the second in which he desires to watch them exterminating each other. ... Suppose, for instance, there is an old story and a new skeptic who is skeptical of the story. We have only to wait a little while for a yet newer skeptic who is skeptical of the skeptic. He will probably find the old notion actually a help in his new notion. This process is an abstract truth applying to anything, apart from agreement or disagreement.

Production is not something physical, material, and external; it is a spiritual and intellectual phenomenon.

I presume that few who have paid any attention to the history of the Mathematical Analysis, will doubt that it has been developed in a certain order, or that that order has been, to a great extent, necessary -- being determined, either by steps of logical deduction, or by the successive introduction of new ideas and conceptions, when the time for their evolution had arrived.

I believe that science is best left to scientists, that you cannot have managers or directors of science, it's got to be carried out and done by people with ideas, people with concepts, people who feel in their bones that they want to go ahead and develop this, that, or the other concept which occurs to them.

I have a few songs that I'm figuring out and writing. I'm still figuring out the whole concept and how it's gonna connect to Cry Baby, but I have some ideas, yes.

I would rather have ideas and some difficulties of technique than a perfect technique and no ideas.

Creation begins with vision.

What I do is very theoretical. It won't necessarily have implications for anything anyone is doing tomorrow, yet you know that there's a sense of progress in science, and as we understand more, it just turns out that, somehow, the world evolves with us.

Science advances, not by the accumulation of new facts, but by the continuous development of new concepts.

Ideas alone can be works of art; they are in a chain of development that may eventually find some form. All ideas need not be made physical.

All intervening steps, scribbles, sketches, drawings, failed work models, studies thoughts, conversations, are of interest. Those that show the thought process of the artist are sometimes more interesting than the final product

Ideas are information taking shape.

I like to know what the gestation of the idea is, I like to know the foundation, and I do a lot of reading and research.

The building blocks of mathematical thinking are requisite for more advanced conceptualization. If a student is not ready to move on, then the teacher must take time to assist that learner.