Quotes About Mathematical

this is mathematical speculation by a bunch of overcaffeinated theorists.

I'd be perfectly happy with a mathematically precise description of how time began. I see science and religion as being two completely different things. I don't see science as relevant to the question of whether or not there's a God.

Through the very culture of representation through form, we have come to see that the abstract - like the mathematical - is actually expressed in and through all things, although not determinately.

His life, like every other life, could be graphed: an ascent that rises to a peak, pauses at a particular node, and then descends. Only the gradient changes in any particular case: this child's was steeper than most, his descent swifter. We all ripen. We are all bound by the same ineluctable law, the same mathematical certainty.

My intention here is to make it clear that not a single cell of my composition, here in regard to The Raven, is found by chance or intuition, that the composition moved towards perfection with the precision and inevitability of a mathematical equation.

Archimedes will be remembered when Aeschylus is forgotten, because languages die and mathematical ideas do not. 'Immortality' may be a silly word, but probably a mathematician has the best chance of whatever it may mean. G.H. Hardy 23

Our study of the various methods has led us to suggest a foreshortened and quite simple formula for the valuation of growth stocks, which is intended to produce figures fairly close to those resulting from the more refined mathematical calculations. Our formula is: Value = Current (Normal) Earnings × (8.5 plus twice the expected annual growth rate) The growth figure should be that expected over the next seven to ten years.

Since all terms that are defined are defined by means of other terms, it is clear that human knowledge must always be content to accept some terms as intelligible without definition, in order to have a starting point for its definitions...[and] since human powers are finite, the definitions known to us must always begin somewhere, with terms undefined for the moment, though perhaps not permanently. - Introduction to Mathematical Philosophy

The key to our problem lies in mathematical induction. It will be remembered that, in Chapter I., this was the fifth of the five primitive propositions which we laid down about the natural numbers. It stated that any property which belongs to 0, and to the successor of any number which has the property, belongs to all the natural numbers. This was then presented as a principle, but we shall now adopt it as a definition.

Physics is mathematical not because we know so much about the physical world, but because we know so little: it is only its mathematical properties that we can discover.

Any theory on the principles of mathematics must always be inductive i.e. it must lie in the fact that the theory in question enables us to deduce ordinary mathematics.

every progression verifies Peano's five axioms.

I would finally renounce my delusional hypotheses and revert to thinking of myself as a human of more conventional circumstances and return to mathematical research.

The immediacy of mystic experience simply means that we know God just as we know other objects. God is not a mathematical entity or a system of concepts mutually related to one another and having no reference to experience.

His leap was exact, mathematical. The initial arc - head tucked between taut arms that spread out gradually like wings - was as graceful as a swan dive.

She was his comet, his shooting star. She sparkled like the heavens, and when she smiled it felt like mathematical equations sliding into place. The world in balance, each side properly weighted. She was everything that was beauty, and everything that was brilliant, and he was – He was not well.

Leonardo Fibonacci, the great 13th century Italian mathematician (1175-1250) created the 'Fibonacci sequence' to explain behavior in nature mathematically. History has it that the first question he posed was how many rabbits would be created in one year starting with one pair.

Learning certain things purely through memory is related to the developmental forces that are present between the sixth or seventh year and the fourteenth year of life. This quality of human nature is what mathematical instruction should be based on.

Bitcoin may herald the dawning of a new age in currency. It holds superior traits as a form of 'good money.' As a tangible form of asset (its core tangibility being its mathematical basis), it could become an incredibly important building block for the 21st century's global economy.

In some strata of Greek and Roman society the engineer was actually denigrated, higher esteem being accorded to poets, playwrights and sculptors. According to Plutarch, Archimedes was praised for refusing to contaminate his theoretical and mathematical science with practical applications, although under extreme pressure at the siege of Syracuse in Sicily he did design practical machinery.

Then suddenly, he was struck by a powerful but simple little truth, and it was this: that English grammar is governed by rules that are almost mathematical in their strictness!

How can you design for people if you don't know history and psychology? You can't. Because your mathematical formulas may be perfect, but the people will screw it up. And if that happens, it means you screwed it up.

Physics was the first of the natural sciences to become fully modern and highly mathematical. Chemistry followed in the wake of physics, but biology, the retarded child, lagged far behind. Even in the time of Newton and Galileo, men knew more about the moon and other heavenly bodies than they did about their own.

Experimentation without mathematical explanation is blind; mathematical explanation without experimentation is empty.