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" 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. "

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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

" Scientists don't read theology; they don't read philosophy. It doesn't make any difference to what they're doing - for better or worse, it may not be a value judgment, but it's true. "

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

" 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. "

" When it comes to the real operational issues that govern our understanding of physical reality, ontological definitions of classical philosophers are, in my opinion, sterile. "

" 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. "

" Parents, of course, have concerns and 'say,' but they don't have the right to shield their children from knowledge. That is not a right, any more than they have the right to shield their children from healthcare or medicine. "

" Empty space is a boiling, bubbling brew of virtual particles that pop in and out of existence in a time scale so short that you can't even measure them. "

" The Bible is full of dubious scientific impossibilities, from Jonah living inside a whale, to the sun standing still in the sky for Joshua. "

" For many, to live in a universe that may have no purpose, and no creator, is unthinkable. "

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

" The rise of a ubiquitous Internet, along with 24-hour news channels has, in some sense, had the opposite effect from what many might have hoped such free and open access to information would have had. It has instead provided free and open access, without the traditional media filters, to a barrage of disinformation. "

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

Lawrence M. Krauss

Found

Ordinary

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

" 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. "

" Formal logic is mathematics, and there are philosophers like Wittgenstein that are very mathematical, but what they're really doing is mathematics - it's not talking about things that have affected computer science; it's mathematical logic. "

" The universe has a much greater imagination than we do, which is why the real story of the universe is far more interesting than any of the fairy tales we have invented to describe it. "

" These days, gun violence can strike anywhere, from a church hall in Charleston to a movie theatre or a Planned Parenthood office in Colorado. But our response to it depends on whether that violence is understood to be terrorism. "

" 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. "

" 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. "

" 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. "

" One thing I cannot understand - and people are probably going to be upset about this - is why local school boards have control over educational content. "

" I used to read a lot of science fiction when I was younger. "

" To me, what philosophy does best is reflect on knowledge that's generated in other areas. "

" I have always felt that, aside from research that violates universal human mores, when it comes to technological applications, that which can be done will be done. "

" What we can do is provide the tools, through our educational system, for people to be able to tell sense from nonsense. These tools include the scientific method, skeptical questioning, empirical evidence, verifying sources, etc. "

" Local order in parts of the universe is always possible at the expense of heat and disorder dissipated to the external environment. The human body is one example: we take in energy from our environment to build up complex molecules that help power our bodies, and, in doing so, we release heat to the world around us. "

" Keeping religion immune from criticism is both unwarranted and dangerous. "

" If our species is to survive, our future will probably require outposts beyond our own planet. "

" Cabinet members may disagree and even resign in protest, but, ultimately, they must obey the order of the Commander-in-Chief. "