Discover the most popular and inspiring quotes and sayings on the topic of Irrationalities. Share them with your friends on social media platforms like Facebook, Twitter, or your personal blogs, and let the world be inspired by their powerful messages. Here are the Top 100 Irrationalities Quotes And Sayings by 89 Authors including Grant Mclachlan,James Gleick,Arthur Eddington,Edward Weston,Alan Lightman for you to enjoy and share.
Engaging irrational people with rational arguments is irrational.
Mandelbrot saw a seemingly smooth boundary resolve itself into a chain of spirals like the tails of sea horses. The irrational fertilized the rational.
It is even possible that laws which have not their origin in the mind may be irrational, and we can never succeed in formulating them.
Dare to be irrational! - keep free from formulas, open to any fresh impulse, fluid.
I would think that you are more fluent with the rational. It has its appeal. But the irrational permits a greater exercise of ... shall we say, power.
A failure to understand something does not mean it is irrational. It may simply mean that it lies on the far side of our limited abilities to take things in and make complete sense of them.
Division may be rational or irrational. Dominance either seems or is justified. Difference is.
The real is the rational and the rational is the real.
The essence of extended rationality is to know when you are being irrational.
Nothing could be more irrational than the idea that something comes from nothing.
There are ages in which the rational man and the intuitive man stand side by side, the one in fear of intuition, the other with scorn for abstraction. The latter is just as irrational as the former is inartistic.
There may be occasions when it is best to behave irrationally, but whether there are should be decided rationally.
Humans are fundamentally irrational. They use what precious rationality they have justifying their irrational behavior. A
Yet what are all such gaieties to me whose thoughts are full of indices and surds?
If the spiritual values of human existence at its highest term of development and achievement do not endure, amidst all the changes and chances of this mortal universe, there seems to be no stable or coherent meaning in existence. Then the universe is irrational
indeed it is no universe at all.
It may be laid down broadly that irrationalism, i.e., disbelief in objective fact, arises almost always from the desire to assert something for which there is no evidence, or to deny something for which there is very good evidence.
uncomputable numbers
Absurdity of absurdities.
There is no such thing as a rational world and a separate irrational world, but only one world containing both.
Imaginary numbers are a fine and wonderful refuge of the divine spirit almost an amphibian between being and non-being.
Integers are the fountainhead of all mathematics.
Reason in my philosophy is only a harmony among irrational impulses.
Unless all that we take to be knowledge is an illusion, we must hold that in thinking we are not reading rationality into an irrational universe, but responding to a rationality with which the universe has always been saturated.
When you are irrationally irrational you may find that life is magical.
The science of mathematics presents the most brilliant example of how pure reason may successfully enlarge its domain without the aid of experience
Among the minor, yet striking characteristics of mathematics, may be mentioned the fleshless and skeletal build of its propositions; the peculiar difficulty, complication, and stress of its reasonings; the perfect exactitude of its results; their broad universality; their practical infallibility.
But it is impossible to divide a cube into two cubes, or a fourth power into fourth powers, or generally any power beyond the square into like powers; of this I have found a remarkable demonstration. This margin is too narrow to contain it.
Only in the irrational and unknown direction can we come to wisdom again
The fact that logic cannot satisfy us awakens an almost insatiable hunger for the irrational.
Rational is when an act is performed based on logical grounds.
Of the irrational part of the soul again one division appears to be common to all living things, and of a vegetative nature.
To want to tackle everything rationally is irrational.
To the rational being only the irrational is unendurable, but the rational is endurable.
One of the endlessly alluring aspects of mathematics is that its thorniest paradoxes have a way of blooming into beautiful theories.
The ultimate solutions to problems are rational; the process of finding them is not.
Religion is an irrational construct.
This is why the conflict between rationalism and irrationalism has become the most important intellectual, and perhaps even moral, issue of our time.
The voice of reason is inaudible to irrational people.
Those pointless equations, to which no solution exists, are called absurdities.
Arithmetic has a very great and elevating effect, compelling the soul to reason about abstract number, and rebelling against the introduction of visible or tngible objects into the argument.
The investigation of mathematical truths accustoms the mind to method and correctness in reasoning, and is an employment peculiarly worthy of rational beings.
Those who condemn the supreme certainty of mathematics feed on confusion, and can never silence the contradictions of the sophistical sciences which lead to eternal quackery.
The solution of the difficulties which formerly surrounded the mathematical infinite is probably the greatest achievement of which our age has to boast.
In the real world irrational things happened, impossible coincidences happened, because probability required that coincidences rarely, but not never, occur.
The mystery lies in the irrationality by which you make appearance - if it is not irrational, you make illustration.
I think irrationality is one of the scariest things in the world.
Talk about rationality can get very confusing unless the things with which rationality deals are also included.
What a mathematical proof actually does is show that certain conclusions, such as the irrationality of , follow from certain premises, such as the principle of mathematical induction. The validity of these premises is an entirely independent matter which can safely be left to philosophers.
From any rational point of view I am absurd; but there are no longer any rational points of view.
It can be of no practical use to know that Pi is irrational, but if we can know, it surely would be intolerable not to know.
Imagine a person with a gift of ridicule [He might say] First that a negative quantity has no logarithm; secondly that a negative quantity has no square root; thirdly that the first non-existent is to the second as the circumference of a circle is to the diameter.
While many people are trying to be in tune with infinite, what they really are is in tune with the indefinite.
Infinities and indivisibles transcend our finite understanding, the former on account of their magnitude, the latter because of their smallness; Imagine what they are when combined.
The rational reasons were all rationales for an underlying irrationality.
An irrational society is a society of moral cowards-
of men paralyzed by the loss of moral standards , principles, and goals
It certainly seems too simple to say what I am going to say, yet it is almost as if you would be better off turning the entire rational approach upside down, taking it for granted that all of its assumptions were false, for they are indeed more false than true.
The absurd is the fundamental idea and the first truth.
No rational response was possible. Her irrationality made it so. The terrible power, he thought, of illogic.
They are simply numbers and cannot thus be right or wrong [ ... ] What I trust that I am saying is that all numbers are by their nature correct. Well, except for Pi, of course. I can't be doing with Pi. Gives me a headache just thinking about it, going on and on and on and on and on ...
Reason may catnap for a time, but the irrational is more often comatose. In the end it will be the irrational that is forever caged in dreams, while reason gains the day.
Mathematics is the bold luxury of pure reason, one of the few that remain today.
Since all life is futility, then the decision to exist must be the most irrational of all.
When we attempt to reduce the infinitely precious to a number, monstrosities result. For
What we call rational grounds for our beliefs are often extremely irrational attempts to justify our instincts.
Rational thinking is good, but irrational thinking creates wonders.
The rational is apprehended through the intellect, however, the intellect is not found in the region of the rational; the intellect is as the eye and the rational as the colors.
The three main extra-rational activities in modern life are religion, war, and love. all these are extra-rational, but love is not anti-rational, that is to say, a reasonable man may reasonably rejoice in its existence
Numbers are free creations of the human mind; they serve as a means of apprehending more easily and more sharply the difference of things.
Reason ... contradicts the established order of men and things on behalf of existing societal forces that reveal the irrational character of this order for "rational" is a mode of thought and action which is geared to reduce ignorance, destruction, brutality, and oppression.
Most geometricians, chemists, mathematicians, and great scientists submit religion to reason only to discover a problem as unsolvable as that of squaring a circle.
Rationalism, which is the feeling that everything is subject to and completely explicable by Reason, consequently rejects everything not visible and calculable.
The basic Irrational Act which is renewed every moment of life, is not to commit suicide.
Infinites, when considered absolutely without any restriction or limitation, are neither equal nor unequal, nor have any certain proportion one to another, and therefore, the principle that all infinites are equal is a precarious one.
Man: an irrational being who imagines himself to be a rational one.
I said that the world is absurd, but I was too hasty. This world in itself is not reasonable, that is all that can be said. But what is absurd is the confrontation of this irrational and the wild longing for clarity whose call echoes in the human heart.
Remember, the opposite of rational is not always irrational, but it can also be transrational or bigger than the rational mind can process; things like love, death, suffering, God, and infinity are transrational experiences. Both myth and mature religion understand this.
All numbers in logic must be capable of justification. Or rather it must become plain that there are no numbers in logic. There are no pre-eminent numbers.
No mathematician in the world would bother making these senseless distinctions: 2 1/2 is a "mixed number " while 5/2 is an "improper fraction." They're EQUAL for crying out loud. They are the exact same numbers and have the exact same properties. Who uses such words outside of fourth grade?
Every attempt to explain human behavior, especially the irrational, must as a matter of course end in simplification.
Becoming fully rational is not enough anymore; evidently it can lead to distortions of all the great human possibilities.
In everything one thing is impossible: rationality.
Our reason has this peculiar fate that, with reference to one class of its knowledge, it is always troubled with questions which cannot be ignored, because they spring from the very nature of reason, and which cannot be answered, because they transcend the powers of human reason.
The higher arithmetic presents us with an inexhaustible store of interesting truths - of truths, too, which are not isolated, but stand in a close internal connection, and between which, as our knowledge increases, we are continually discovering new and sometimes wholly unexpected ties.
Man stands face to face with the irrational. He feels within him his longing for happiness and for reason. The absurd is born of this confrontation between the human need and the unreasonable silence of the world.
The end point of rationality is to demonstrate the limits of rationality.
Let no one ignorant of Mathematics enter here.
A dozen more questions occurred to me. Not to mention twenty-two possible solutions to each one, sixteen resulting hypotheses and counter-theorems, eight abstract speculations, a quadrilateral equation, two axioms, and a limerick. That's raw intelligence for you.
What would mathematics have amounted to without the imagination of its devotees-its giants and their followers? There never was a discovery made without the urge of imagination-of imagination which broke the roadway through the forest in order that cold logic might follow.
The pursuit of mathematics is a divine madness of the human spirit.
Humans were eventually irrational creatures gifted with the power of rationality.
Poetry involves the mysteries of the irrational perceived through rational words.
All results of the profoundest mathematical investigation must ultimately be expressible in the simple form of properties of the integers.
Mathematics has not a foot to stand upon which is not purely metaphysical.
What we understand is that society must allow room for the irrational, in healthy balance with the rational.
...[F]reedom... is a property of all rational beings.
Ever since the Enlightenment, people thought that we were living in a rational universe. They thought that God was a mathematician and that the function of the scientist was to figure out the mathematical rules whereby the universe was created.
Numbers have neither substance, nor meaning, nor qualities. They are nothing but marks, and all that is in them we have put into them by the simple rule of straight succession.
The absurd is the essential concept and the first truth.
rationalize that as something else
Many mathematicians derive part of their self-esteem by feeling themselves the proud heirs of a long tradition of rational thinking; I am afraid they idealize their cultural ancestors.