Reasoning Quotes - page 8
The result of the mathematician's creative work is demonstrative reasoning, a proof; but the proof is discovered by plausible reasoning, by guessing. If the learning of mathematics reflects to any degree the invention of mathematics, it must have a place for guessing, for plausible inference.
George Pólya
Everyone knows that mathematics offers an excellent opportunity to learn demonstrative reasoning, but I contend also that there is no other subject in the usual curricula of the schools that affords a comparable opportunity to learn plausible reasoning. ...let us learn proving, but also let us learn guessing.
George Pólya
If ‘we are the government,' then anything a government does to an individual is not only just and untyrannical; it is also ‘voluntary' on the part of the individual concerned... if the government conscripts a man, or throws him into jail for dissident opinion, then he is ‘doing it to himself' and therefore nothing untoward has occurred. Under this reasoning, any Jews murdered by the Nazi government were not murdered, instead, they must have ‘committed suicide,' since they were the government (which was democratically chosen), and therefore anything the government did to them was voluntary on their part... the overwhelming bulk of the people hold this fallacy to a greater or less degree.
Murray Rothbard
In the long run my observations have convinced me that some men, reasoning preposterously, first establish some conclusion in their minds which, either because of its being their own or because of their having received it from some person who has their entire confidence, impresses them so deeply that one finds it impossible ever to get it out of their heads.
Galileo Galilei
If what we are discussing were a point of law or of the humanities, in which neither true nor false exists, one might trust in subtlety of mind and readiness of tongue and in the greater experience of the writers, and expect him who excelled in those things to make his reasoning most plausible, and one might judge it to be the best. But in the natural sciences, whose conclusions are true and necessary and have nothing to do with human will, one must take care not to place oneself in the defense of error; for here a thousand Demostheneses and a thousand Aristotles would be left in the lurch by every mediocre wit who happened to hit upon the truth for himself. Therefore, Simplicio, give up this idea and this hope of yours that there may be men so much more learned, erudite, and well-read than the rest of us as to be able to make that which is false become true in defiance of nature.
Galileo Galilei
By induction we gain no certain knowledge; but by observation, and the inverse use of deductive reasoning, we estimate the probability that an event which has occurred was preceded by conditions of specified character, or that such conditions will be followed by the event. ...I have no objection to use the words cause and causation, provided they are never allowed to lead us to imagine that our knowledge of nature can attain to certainty. ...We can never recur too often to the truth that our knowledge of the laws and future events of the external world are only probable.
William Stanley Jevons
All acts of reasoning seem to me to be different cases of one uniform process which may perhaps be best described as the substitution of similars... The chief difficulty consists in showing that all the forms of the old logic, as well as the fundamental rules of mathematical reasoning, may be explained upon the same principle; and it is to this difficult task I have devoted the most attention.
William Stanley Jevons
The final truth about a phenomenon resides in the mathematical description of it; so long as there is no imperfection in this, our knowledge of the phenomenon is complete. We go beyond the mathematical formula at our own risk; we may find a model or a picture which helps us understand it, but we have no right to expect this, and our failure to find such a model or picture need not indicate that either our reasoning or our knowledge is at fault. The making of models or pictures to explain mathematical formulas and the phenomena they describe is not a step towards, but a step away from reality; it is like making a graven image of a spirit.
James Jeans
In a certain sense all knowledge is inductive. We can only learn the laws and relations of things in nature by observing those things. But the knowledge gained from the senses is knowledge only of particular facts, and we require some process of reasoning by which we may collect out of the facts the laws obeyed by them. Experience gives us the materials of knowledge: induction digests those materials, and yields us general knowledge. When we possess such knowledge, in the form of general propositions and natural laws, we can usefully apply the reverse process of deduction to ascertain the exact information required at any moment. In its ultimate foundation, then, all knowledge is inductive-in the sense that it is derived by a certain inductive reasoning from the facts of experience.
William Stanley Jevons
Let us say that we did battle, and I emerged the victor. By your reasoning, I would thus become the rightful King of Vaa-oh, wait. I see now. That would not serve, since I haven't the proper bloodline. What a cunning system you have there. You and all the other self-proclaimed royalty of Faerun. By your conditions, you alone are kings and queens and lords and ladies of court. You alone matter, while the peasant grovels and kneels in the mud, and since you alone are 'rightful' in the eyes of this god or that, then the peasant cannot complain. He must accept his muddy lot in life and revel in his misery, all in the knowledge that he serves the rightful king."
Gareth's jaw tightened, and he ground his teeth as he continued to stare unblinking at Entreri.
"You should have had Kane kill me, back at the castle. Break the mirror, King Gareth. You will fancy yourself prettier in that instance.
R. A. Salvatore
A person who thinks by images becomes less and less capable of thinking by reasoning, and vice versa. The intellectual process based on images is contradictory to the intellectual process of reasoning that is related to the word. There are two different ways of dealing with an object. They involve not only different approaches, but even more important, opposing mental attitudes. This is not a matter of complementary processes, such as analysis and synthesis or logic and dialectic. These processes lack any qualitative common denominator.
Jacques Ellul
![I soon came to know in the weary debates and the 104 divisions against the European Communities Bill who it was with whom I shared feelings of anger, outrage and hatred at what was being perpetrated. I am aware that the "Left" is supposed to be motivated only by the desire to be unimpeded by "Europe" in converting Britain into a socialist state; but I am compelled to depose that the instincts and reasoning of the "Left" opponents of membership...were exactly as nationalistic, not to say patriotic, as my own...[I part company with Labour only] because of my blind, high Tory ultimate faith in the people. If they are the people I thought and still want to think that they are, those who represent them will assuredly be pulled back in time from the betrayal of their birthright of parliamentary freedom either to a European state or to a Marxist bureaucracy. (Enoch Powell)](https://cdn.quotesdtb.com/img/quotes_images_webp/55/enoch-powell-anger-betrayal-429155.webp)
