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" There are areas of philosophy that are important, but I think of them as being subsumed by other fields. In the case of descriptive philosophy, you have literature or logic, which, in my view, is really mathematics. "

Lawrence M. Krauss

You

Think

Mathematics

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" As a physicist, I've always found cosmology to be a rational elixir; it distances me from ordinary concerns. "

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" I was most eager to see how Trump would respond to the climate-change question. "

" For all of his bravado, obnoxiousness, hatred, and vitriol, the scariest thing about Trump, to me, is his unique combination of ignorance about the world, convolved with ignorance about himself. "

Lawrence M. Krauss

Hatred

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" Empirical explorations ultimately change our understanding of which questions are important and fruitful and which are not. "

" Teaching and writing, to me, is really just seduction; you go to where people are and you find something that they're interested in and you try and use that to convince them that they should be interested in what you have to say. "

" Science is only truly consistent with an atheistic worldview with regards to the claimed miracles of the gods of Judaism, Christianity and Islam. "

" It's all too easy to imagine Trump issuing an ultimate, thermonuclear 'You're fired!' to China, Iran, or another nation - and perhaps to the whole human race. "

" Imagining living in a universe without purpose may prepare us to better face reality head on. I cannot see that this is such a bad thing. "

" Philosophy used to be a field that had content, but then 'natural philosophy' became physics, and physics has only continued to make inroads. Every time there's a leap in physics, it encroaches on these areas that philosophers have carefully sequestered away to themselves, and so then you have this natural resentment on the part of philosophers. "

" It never ceases to amaze me that every second of every day, more than 6,000 billion neutrinos coming from nuclear reactions inside the sun whiz through my body, almost all of which will travel right through the earth without interruption. "

Lawrence M. Krauss

Day

Earth

" The illusion of purpose and design is perhaps the most pervasive illusion about nature that science has to confront on a daily basis. "

" The biggest conceptual change over the last 100 years in the way physicists think about the world is symmetry. "

" When it comes to the things that people really want in science fiction - like space travel - the simplest things end up causing them not to happen. Humans are 100-pound bags of water, built to live on Earth. "

" Organized religion, wielding power over the community, is antithetical to the process of what modern democracy should define as liberty. The sooner we are without it, the better. "

" If innovations were predictable, they wouldn't be discoveries. "

" On the question of preserving public lands, Trump replies that our elected officials have spent too long rewarding 'special interests,' by which I assume he doesn't mean petroleum companies and the Bundy family. "

" We should provide the meaning of the universe in the meaning of our own lives. So I think science doesn't necessarily have to get in the way of kind of spiritual fulfillment. "

" I cannot stress often enough that what science is all about is not proving things to be true but proving them to be false. "

" By his own admission, Carson's remarkable hand-eye coordination allowed him to soar as a surgeon, and he used that success to build a lucrative reputation as a purveyor of advice for young and old. His book for young people is titled 'You Have a Brain.' "

" We need to walk into the future, no matter how unnerving, with open eyes if society is to keep pace with technology. "

" The root cause of the looming energy problem - and the key to easing environmental, economic and religious tensions while improving public health - is to address the unending, and unequal, growth of the human population. And the one proven way to reduce fertility rates is to empower young women by educating them. "

" Symmetry does mean something different for physicists than for members of the public. It means that an object or a theory does not change when you make some transformation - either rotating or moving it or doing something to the equations. "

" On the question of information security, he claims that, in a Trump Administration, the U.S. government will not spy on its own citizens. If true, this would represent a turn away from the strong language that he has used about identifying terrorists on our soil. "

" Education is far less about a set of facts than a way of thinking, than learning how to critically think. And therefore, what I always think should be the basis of education is not answers but questions. "

" To the extent that we even understand string theory, it may imply a massive number of possible different universes with different laws of physics in each universe, and there may be no way of distinguishing between them or saying why the laws of physics are the way they are. And if I can predict anything, then I haven't explained anything. "

" I can't prove that God doesn't exist, but I'd much rather live in a universe without one. "

" For a physicist or a mathematician, the most symmetrical object you could think about would be a sphere, because it looks identical no matter what you do to it, however you rotate it in any given direction. "

" Donald Trump's candidacy has been a source of anxiety for many reasons, but one stands out: the ability of the president to launch nuclear weapons. When it comes to starting a nuclear war, the president has more freedom than he or she does in, say, ordering the use of torture. "

" A snowflake is another beautifully ordered example of what simple, natural meteorological processes can produce. Stars form by gravity, collapsing into spherically ordered structures that can remain in this form only if they release tremendous heat energy into the environment. "

" Neutrinos alone, among all the known particles, have ethereal properties that are striking and romantic enough both to have inspired a poem by John Updike and to have sent teams of scientists deep underground for 50 years to build huge science-fiction-like contraptions to unravel their mysteries. "