Top 1200 Logical Reasoning Quotes & Sayings

He had a better mind and a more rigorous temperament than me; he thought logically, and then acted on the conclusion of logical thought. Whereas most of us, I suspect, do the opposite: we make an instinctive decision, then build up an infrastructure of reasoning to justify it. And call the result common sense.

A detective with his murder mystery, a chemist seeking the structure of a new compound, use little of the formal and logical modes of reasoning. Through a series of intuitions, surmises, fancies, they stumble upon the right explanation, and have a knack of seizing it when it once comes within reach.

The paradigm for intelligence was logical reasoning, and the idea of what an internal representation would look like was it would be some kind of symbolic structure. That has completely changed with these big neural nets.

A few observation and much reasoning lead to error; many observations and a little reasoning to truth.

If scientific reasoning were limited to the logical processes of arithmetic, we should not get very far in our understanding of the physical world. One might as well attempt to grasp the game of poker entirely by the use of the mathematics of probability.

God cannot be understood by logical reasoning but only by submission.

All possible knowledge, then, depends on the validity of reasoning...Unless human reasoning is valid no science can be true.

But men love abstract reasoning and neat systematization so much that they think nothing of distorting the truth, closing their eyes and ears to contrary evidence to preserve their logical constructions.

The physicist, in his study of natural phenomena, has two methods of making progress: (1) the method of experiment and observation, and (2) the method of mathematical reasoning. The former is just the collection of selected data; the latter enables one to infer results about experiments that have not been performed. There is no logical reason why the second method should be possible at all, but one has found in practice that it does work and meets with reasonable success.

Pure mathematics is, in its way, the poetry of logical ideas. ... [By seeking] logical beauty spiritual formulas are discovered necessary for the deeper penetration into the laws of nature.

... if you insist that the inference is made by a chain of reasoning, I desire you to produce that reasoning. The connection between the two is not intuitive. There is required a medium, which may enable the mind to draw such an inference, if indeed it be drawn by reasoning and argument. What that medium is, I must confess, passes my comprehension; and it is incumbent on those to produce it, who assert that it really exists, and is the origin of all our conclusions concerning matter of fact.

When the intensity of emotional conviction subsides, a man who is in the habit of reasoning will search for logical grounds in favour of the belief which he finds in himself.

Reasoning will never make a man correct an ill opinion, which by reasoning he never acquired

To admit one's own presuppositions and to point out the presuppositions of others is therefore to maintain that all reasoning is, in the nature of the case, circular reasoning. The starting-point, the method, and the conclusion are always involved in one another.

As an exercise of the reasoning faculties, pure mathematics is an admirable exercise, because it consists of reasoning alone and does not encumber the student with any exercise of judgment.

I would call the attention of the reader to the difference between "reason" and "reasoning." Reason is a light, reasoning a process. Reason is a faculty, reasoning an exercise of that faculty. Reasoning proceeds from one truth to another by means of argumentation. This generally involves the whole mind in labor and complexity. But reason does not exist merely in order to engage in reasoning. The process is a means to an end. The true fulfillment of reason as a faculty is found when it can embrace the truth simply and without labor in the light of single intuition.

The result of the mathematician's creative work is demonstrative reasoning, a proof; but the proof is discovered by plausible reasoning, by guessing.

When you try to translate any kind of real-life problem into a neat logical form, you're almost always simplifying it. We need a kind of blend - we need to use not just tools of logic, which are important and valuable - I'm not denying that, but also tools of judgement, and of inductive and abductive reasoning which can also inform.

There are a lot of human-created systems that we like to tout as being logical that are actually riddled with illogic. And then, on the other hand, we have all these natural systems that are not conscious, but they are logical, and they work really well.

The deep paradox uncovered by AI research: the only way to deal efficiently with very complex problems is to move away from pure logic.... Most of the time, reaching the right decision requires little reasoning.... Expert systems are, thus, not about reasoning: they are about knowing.... Reasoning takes time, so we try to do it as seldom as possible. Instead we store the results of our reasoning for later reference.

As it is, plain reasoning assures me I am not indispensable to the universe: but with this reasoning, somehow, does not travel my belief.

The great mathematician fully, almost ruthlessly, exploits the domain of permissible reasoning and skirts the impermissible. That his recklessness does not lead him into a morass of contradictions is a miracle in itself: certainly it is hard to believe that our reasoning power was brought, by Darwin's process of natural selection, to the perfection which it seems to possess.

More by example than by word, my father taught me logical reasoning, compassion, love of others, honesty, and discipline applied with understanding.

Play stimulates the parts of the brain involved in both careful, logical reasoning and carefree, unbound exploration.

If scientific reasoning were limited to the logical processes of arithmetic, we should not get very far in our understanding of the physical world

Geometry is beautifully logical, and it teaches you how to think and prove that things are so, step by step by step. Proofs are excellent lessons in reasoning. Without logic and reasoning, you are dependent on jumping to conclusions or - worse - having empty opinions.

The true function of philosophy is to educate us in the principles of reasoning and not to put an end to further reasoning by the introduction of fixed conclusions.

Chess can help a child develop logical thinking, decision making, reasoning, and pattern recognition skills, which in turn can help math and verbal skills.

Satan frequently steals the will of God from us due to reasoning. The Lord may direct us to do a certain thing, but if it does not make sense - if it is not logical - we may be tempted to disregard it. What God leads a person to do does not always make logical sense to his mind. His spirit may affirm it and His mind reject it, especially if it would be out of the ordinary or unpleasant or if it would require personal sacrifice or discomfort.

The Supreme Court's 5-4 decision rejected Congress' findings and its method of reasoning, .. Is there any real justification for the court's denigrating Congress' 'method of reasoning'?.

Making the leap from Monsanto's business practices - whatever you may think of them - to the 'dangers' of GM foods is a mistake in logical reasoning. It is akin to saying landscape paintings are potentially evil because the painter was a serial killer.

In Architecture there is a part that is the result of Logical Reasoning and a part that is created through the Senses. There is always a point where they Clash. I don't think Architecture can be created without that Collision.

If we were logical, the future would be bleak, indeed. But we are more than logical. We are human beings, and we have faith, and we have hope, and we can work.

The philosophy of reasoning, to be complete, ought to comprise the theory of bad as well as of good reasoning.

Zen wants us to acquire an entirely new point of view whereby to look into the mysteries of life and the secrets of nature. This is because Zen has come to the definite conclusion that the ordinary logical process of reasoning is powerless to give final satisfaction to our deepest spiritual needs.

Pretty much, you point to a problem and good reasoning about why people are doing what they are doing and what constraints they face in terms of how others will behave, and you're looking at a problem that could be improved upon by game-theoretic reasoning.

My advice is not always so logical and consistent. But then, love is not logical and consistent. So why should my advice be? If you want that kind of thinking, go to a computer. Computers are always logical and consistent, and you see how often they get proposed to.

That torture is wrong can never be the conclusion to any line of reasoning because it has to be a fundamental premise. Witnessing to the humanity of the other is the place where all moral reasoning must begin.

George's son had done his work so thoroughly that he was considered too good a workman to live, and was, in fact, taken and tragically shot at twelve o'clock that same day—another instance of the untoward fate which so often attends dogs and other philosophers who follow out a train of reasoning to its logical conclusion, and attempt perfectly consistent conduct in a world made up so largely of compromise.

Logical activity is not the whole of intelligence. One can be intelligent without being particularly logical.

Logical investigations can obviously be a useful tool for philosophy. They must, however, be informed by a sensitivity to the philosophical significance of the formalism and by a generous admixture of common sense, as well as a thorough understanding both of the basic concepts and of the technical details of the formal material used. It should not be supposed that the formalism can grind out philosophical results in a manner beyond the capacity of ordinary philosophical reasoning. There is no mathematical substitute for philosophy.

It is difficult to distinguish deduction from what in other circumstances is called problem-solving. And concept learning, inference, and reasoning by analogy are all instances of inductive reasoning. (Detectives typically induce, rather than deduce.) None of these things can be done separately from each other, or from anything else. They are pseudo-categories.

Man is not logical and his intellectual history is a record of mental reserves and compromises. He hangs on to what he can in his old beliefs even when he is compelled to surrender their logical basis.

Chélan had acted as imprudently for Julien as he had for himself. He had given him the habit of reasoning correctly, and of not being put off by empty words, but he had neglected to tell him that this habit was a crime in the person of no importance, since every piece of logical reasoning is offensive.

If you let your mind talk you out of things that aren't logical, you're going to have a very boring life. Because grace isn't logical. Love isn't logical. Miracles aren't logical.

I have not come to know atheism as a result of logical reasoning and still less as an event in my life: in me it is a matter of instinct.

Bad reasoning as well as good reasoning is possible; and this fact is the foundation of the practical side of logic.

In every enterprise ... the mind is always reasoning, and, even when we seem to act without a motive, an instinctive logic still directs the mind. Only we are not aware of it, because we begin by reasoning before we know or say that we are reasoning, just as we begin by speaking before we observe that we are speaking, and just as we begin by seeing and hearing before we know what we see or what we hear.

My assumption was that all indigenous architecture would be more fractal. My reasoning was that all indigenous architecture tends to be organized from the bottom up. As it turns out, though, my reasoning was wrong.

Logical reasoning is an argument which we have with ourselves and which reproduces internally the features of a real argument.

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.

It is always easy to be logical. It is almost impossible to be logical to the bitter end.

Mathematics is not arithmetic. Though mathematics may have arisen from the practices of counting and measuring it really deals with logical reasoning in which theorems-general and specific statements-can be deduced from the starting assumptions. It is, perhaps, the purest and most rigorous of intellectual activities, and is often thought of as queen of the sciences.

Reasoning is the pastime of my whole household, and all this reasoning has driven out Reason.

Logical positivists have never taken psychology into account in their epistemology, but they affirm that logical beings and mathematical beings are nothing but linguistic structures.

If one's cause is supported by sound reasoning, there is no point in using violence. It is those who have no motive other than selfish desire and who cannot achieve their goal through logical reasoning who rely on force.

The Church has realized that anything and everything can be built up on a document of that sort, no matter how contradictory or irreconcilable with it. The faithful will swallow it whole, so long as logical reasoning is never allowed to be brought to bear on it.

Innovation is not the product of logical thought, even though the final product is tied to a logical structure.

What convinces is conviction. Believe in the argument you're advancing. If you don't you're as good as dead. The other person will sense that something isn't there, and no chain of reasoning, no matter how logical or elegant or brilliant, will win your case for you.

Even if you want to take the American story, they say we used chemical weapons the same day the team or the investigation team came to Syria ; is it logical ? It's not logical. Even if a country or army wanted to use such weapon, they should have waited a few days till the investigation finished its work. It's not logical, the whole story doesn't even hold together.