One factor that has remained constant through all the twists and turns of the history of physical science is the decisive importance of the mathematical imagination.
Freeman DysonRead
The fundamental reason why carbon dioxide in the atmosphere is critically important to biology is that there is so little of it. A field of corn growing in full sunlight in the middle of the day uses up all the carbon dioxide within a meter of the ground in about five minutes. If the air were not constantly stirred by convection currents and winds, the corn would stop growing.
Interpretation
Carbon dioxide is essential for plant growth, but its scarcity makes it vital for survival.
This quote emphasizes the critical role of carbon dioxide in the process of photosynthesis for plants, highlighting how its limited presence in the atmosphere is a driving force behind biological processes. It illustrates the interconnectedness of natural phenomena, such as wind and convection, which allow plants like corn to thrive by replenishing CO2 levels necessary for their growth.
In practice
In a discussion about environmental science, to illustrate the importance of carbon dioxide for plants.
One factor that has remained constant through all the twists and turns of the history of physical science is the decisive importance of the mathematical imagination.
Biology is now bigger than physics, as measured by the size of budgets, by the size of the workforce, or by the output of major discoveries; and biology is likely to remain the biggest part of science through the twenty-first century.
As a working hypothesis to explain the riddle of our existence, I propose that our universe is the most interesting of all possible universes, and our fate as human beings is to make it so
It's not going to be just humans colonizing space, it's going to be life moving out from the Earth, moving it into its kingdom. And the kingdom of life, of course, is going to be the universe.
The bottom line for mathematicians is that the architecture has to be right. In all the mathematics that I did, the essential point was to find the right architecture. It's like building a bridge. Once the main lines of the structure are right, then the details miraculously fit. The problem is the overall design.
For some days I quietly worked out in my own mind the metaphysics of Cosmic Unity. The more I thought about it, the more convinced I became that it was the living truth. It was logically incontrovertible. It provided for the first time a firm foundation for ethics. It offered mankind the radical change of heart and mind that was our only hope of peace at a time of desperate danger. Only one small problem remained. I must find a way to convert the world to my way of thinking.
Science proceeds more by what it has learned to ignore than what it takes into account.
Every work of science great enough to be well remembered for a few generations affords some exemplification of the defective state of the art of reasoning of the time when it was written; and each chief step in science has been a lesson in logic.
The strongest arguments prove nothing so long as the conclusions are not verified by experience. Experimental science is the queen of sciences and the goal of all speculation.
There is a great difference between discoveries and inventions. With discoveries, one can always be skeptical, and many surprises can take place. In the case of inventions, surprises can really only occur for people who have not had anything to do with it.
When a scientist doesn't know the answer to a problem, he is ignorant. When he has a hunch as to what the result is, he is uncertain. And when he is pretty darn sure of what the result is going to be, he is in some doubt.
There's no such thing as saying that we'll ever find the ultimate cause of stuff. We can only work to push our understanding one step further.
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