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Logic Quotes

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Logic Quotes

“Since I found that one could make a case shadow from a three-dimensional thing, any object whatsoever - just as the projecting of the sun on the earth makes two dimensions - I thought that by simple intellectual analogy, the fourth dimension could project an object of three dimensions, or, to put it another way, any three-dimensional object, which we see dispassionately, is a projection of something four-dimensional, something we are not familiar with.”

“When the boy begins to understand that the visible point is preceded by an invisible point, that the shortest distance between two points is conceived as a straight line before it is ever drawn with pencil and paper...the fountain of all thought has been opened to him...the philosopher can reveal him nothing new, as a geometrician he has discovered the basis of all thought.”

“We think of the number "five" as applying to appropriate groups of any entities whatsoever - to five fishes, five children, five apples, five days... We are merely thinking of those relationships between those two groups which are entirely independent of the individual essences of any of the members of either group. This is a very remarkable feat of abstraction; and it must have taken ages for the human race to rise to it”

“"There is one basis of science," says Descartes, "one test and rule of truth, namely, that whatever is clearly and distinctly conceived is true." A profound psychological mistake. It is true only of formal logic, wherein the mind never quits the sphere of its first assumptions to pass out into the sphere of real existences; no sooner does the mind pass from the internal order to the external order, than the necessity of verifying the strict correspondence between the two becomes absolute. The Ideal Test must be supplemented by the Real Test, to suit the new conditions of the problem.”

“The ontological concept of truth is in the centre of a logic which may serve as a model of pre- technological rationality. It is the rationality of a two-dimensional universe of discourse which, contrasts with the of thought and behavior that develop in the execution of the technological project.”

“it was the United States which first established general suffrage for men upon the two principles that 'taxation without representation is tyranny' and that governments to be just should 'derive their consent from the governed.' The unanswerable logic of these two principles is responsible for the extension of suffrage to men and women the world over. In the United States, however, women are still taxed without 'representation' and still live under a government to which they have given no 'consent.”

“From the empty grave of Jesus the enemies of the cross turn away in unconcealable dismay. Those whom the force of no logic can convince, and whose hearts are steeled against the appeal of almighty love from the cross itself, quail before the irresistible power of this simple fact. Christ has risen from the dead! After two thousand years of the most determined assault upon the evidence which demonstrates it, that fact stands. And so long as it stands Christianity, too, must stand as the one supernatural religion.”

“Water is two parts hydrogen and one part oxygen. What if someone says, “Well, that’s not how I choose to think about water.”? All we can do is appeal to scientific values. And if he doesn’t share those values, the conversation is over. If someone doesn’t value evidence, what evidence are you going to provide to prove they should value it? If someone doesn’t value logic, what logical argument could you provide to show the importance of logic?”

“People knew there were two ways of coming at truth. One was science, or what the Greeks called Logos, reason, logic. And that was essential that the discourse of science or logic related directed to the external world. The other was mythos, what the Greeks called myth, which didn't mean a fantasy story, but it was a narrative associated with ritual and ethical practice but it helped us to address problems for which there were no easy answers, like mortality, cruelty, the sorrow that overtakes us all that's part of the human condition. And these two were not in opposition, we needed both.”

“I guess the hard part is more in the development stage when we're writing it. The logic is hard. You come up with a great idea and you get all excited that it's going to work and then you go down two hours and then one guy turns to everyone and goes, 'Wait, that makes absolutely no sense because if he was there, then this wouldn't have happened, then this,' and it completely implodes.”

“Well, I kind of split my life into two pieces. One was where my chess career lies. There, I kept my sanity, so to speak, and my logic. And the other was my religious life. I tried to apply what I learned in the church to my chess career too. But I still was studying chess. I wasn't just "trusting in God" to give me the moves.”

“As the great naturalist Charles Darwin saw clearly, individual and collective interests often coincide, as in the invisible hand narrative. But he also saw that in many other cases, interests at the two levels are squarely in conflict, and that in those cases, individual interests generally trump. That simple observation suggests that market failure is often the result not of insufficient competition (the traditional charge from social critics on the Left), but of the very logic of competition itself.”

“You can define a net two ways, depending on your point of view. Normally you would say it is a meshed instrument designed to catch fish. But you could, with no great injury to logic, reverse the image and define the net as a jocular lexicographer once did: he called it a collection of holes tied together with string.”

“The situation was extraordinary. How someone like Evangeline Jenner could have wrought such a change in St. Vincent, the most worldly of men, was difficult to understand. However, Westcliff had learned that the mysteries of attraction could not always be explained through logic. Sometimes the fractures in two separate souls became the very hinges that held them together.”

“As is so often the case with a legend, every incident has two possible interpretations, the plausible and the one that is molded to suit the making of the myth. Man is a romantic at heart and will always put aside dull, plodding reason for the excitement of an enigma. As Doc had pointed out, mystery, not logic, is what gives us hope and keeps us believing in a force greater than our own insignificance.”

“So,” Marasi said, “you traded a dead man’s scarf for another dead man’s gun. But…the gun itself belonged to someone dead, so by the same logic—” “Don’t try,” Waxillium said. “Logic doesn’t work on Wayne.” “I bought a ward against it off a traveling fortune-teller,” Wayne explained. “It lets me add two ’n’ two and get a pickle.”

“To know and not to know, to be conscious of complete truthfulne­ss while telling carefully constructe­d lies, to hold simultaneo­usly two opinions which cancelled out, knowing them to be contradict­ory and believing in both of them, to use logic against logic, to repudiate morality while laying claim to it, to believe that democracy was impossible and that the Party was the guardian of democracy.”

“Ordinarily logic is divided into the examination of ideas, judgments, arguments, and methods. The two latter are generally reduced to judgments, that is, arguments are reduced to apodictic judgments that such and such conclusions follow from such and such premises, and method is reduced to judgments that prescribe the procedure that should be followed in the search for truth.”

“Like Molière's M. Jourdain, who spoke prose all his life without knowing it, mathematicians have been reasoning for at least two millennia without being aware of all the principles underlying what they were doing. The real nature of the tools of their craft has become evident only within recent times A renaissance of logical studies in modern times begins with the publication in 1847 of George Boole's The Mathematical Analysis of Logic.”

“Science, with its experiments and logic, tries to understand the order or structure of the universe. Religion, with its theological inspiration and reflection, tries to understand the purpose or meaning of the universe. These two are cross-related. Purpose implies structure, and structure ought somehow to be interpretable in terms of purpose.”

“Wind, weather, power, load - gradually these elements stop churning in my mind. It's less a decision of logic than a feeling, the kind of feeling that comes when you gauge the distance to be jumped between two stones across a brook. Something within you disengages itself from your body and travels ahead with your vision to make the test. You can feel it try the jump as you stand looking. Then uncertainty gives way to the conviction that it can or can't be done.”

“We and you ought not to pull on the ends of a rope which you have tied the knots of war. Because the more the two of us pull, the tighter the knot will be tied. And then it will be necessary to cut that knot, and what that would mean is not for me to explain to you. I have participated in two wars and know that war ends when it has rolled through cities and villages, everywhere sowing death and destruction. For such is the logic of war. If people do not display wisdom, they will clash like blind moles and then mutual annihilation will commence.”

“Chess is a unique battlefield for human minds and computers - human intuition, our creativity, fantasy, our logic, versus the brute force of calculation and a very small portion of accumulated knowledge infused by other human beings. So in chess we can compare these two incompatible things and probably make projections into our future. Is there danger that the human mind will be overshadowed by the power of computers, or we can still survive?”