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" 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. "

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" Donald Trump called for the closing of borders to Muslims; John McCain said, in response to the President's address on the San Bernardino shooting, that 'this is the war of our time.' As that shooting shows, we react to terrorism with far more intensity than we do to an ordinary crime. "

Lawrence M. Krauss

Said

Closing

React

" 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. "

" Symmetries are the playing field on which the physical world works and which determine the rules of the game. The symmetries of nature determine for us things that remain constant, that can't be changed. Those are the guideposts in physics, the quantities like energy and momentum. "

Lawrence M. Krauss

Energy

Game

" Richard Nixon, famously, conducted his foreign policy according to the 'madman theory': he tried to convince enemy leaders that he was irrational and volatile in an attempt to intimidate them. But this was a potentially useful approach to foreign policy only because it was an act. "

" 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. "

" If I knew what the next big thing was, I'd be doing it now. "

Lawrence M. Krauss

Big Thing

Now

" 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

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

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

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

" 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. "

" Aside from communications satellites, space is devoid of industry. "

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

" When a person's religious beliefs cause him to deny the evidence of science, or for whom public policy morphs into a battle with the devil, shouldn't that be a subject for discussion and debate? "

" I don't know if science and reason will ultimately help guide humanity to a better and more peaceful future, but I am certain that this belief is part of what keeps the 'Star Trek' fandom going. "

" Either Trump only talks to those who play up to his delusion, or he simply doesn't listen to those who might burst his bubble. Either way, that is a cause for worry. "

" 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. "

" 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. "

" 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. "

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

" Whatever the evolutionary basis of religion, the xenophobia it now generates is clearly maladaptive. "

" 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. "

" 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. "

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

" 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.' "

" The notion that anyone in the 21st century could take seriously the notion that the sun orbits the Earth, or that the Earth is the center of the universe, is almost unbelievable. "

" For the record: Quantum mechanics does not deny the existence of objective reality. Nor does it imply that mere thoughts can change external events. Effects still require causes, so if you want to change the universe, you need to act on it. "

" 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

Ignorance

" We should teach kids how to question. Now having said that, of course, to be a productive adult, there are certain skills that are required - reading, writing, and, in the old-fashioned days, we used to say arithmetic. Now we say mathematics. "

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