Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts.
David HilbertRead
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Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts.
Perseverance is more than endurance. It is endurance combined with absolute assurance and certainty that what we are looking for is going to happen.
...in a time lacking in truth and certainty and filled with anguish and despair, no woman should be shamefaced in attempting to give back to the world, through her work, a portion of its lost heart.
It is to them [fossils] alone that we owe the commencement of even a Theory of the Earth ... By them we are enabled to ascertain, with the utmost certainty, that our earth has not always been covered over by the same external crust, because we are thoroughly assured that the organized bodies to which these fossil remains belong must have lived upon the surface before they came to be buried, as they now are, at a great depth.
There is a big difference between wanting to say you wrote a book, and actually writing one. Many people think they want to write, even though they find crafting sentences and paragraphs unpleasant. They hope there is a way to write without writing. I can tell you with certainty there isn’t one.
No great deed is done by falterers who ask for certainty.
Ideas which have been developed simultaneously or in immediate succession in the same mind mutually reproduce each other, and do this with greater ease in the direction of the original succession and with a certainty proportional to the frequency with which they were together
What can a meaning outside my condition mean to me? I can understand only in human terms. What I touch, what resists me - that I understand. And these two certainties - my appetite for the absolute and for unity and the impossibility of reducing this world to a rational and reasonable principle - I also know that I cannot reconcile them. What other truth can I admit without lying, without bringing in a hope I lack and which means nothing within the limits of my conditions?
I am certain of nothing but the holiness of the heart's affections, and the truth of imagination.
We had been hopelessly labouring to plough waste lands; to make nationality grow in a place full of the certainty of God… Among the tribes our creed could be only like the desert grass – a beautiful swift seeming of spring; which, after a day’s heat, fell dusty.
Certitude is not the test of certainty. We have been cocksure of many things that were not so.
Whenever a man believes that he has the exact truth from God, there is in that man no spirit of compromise. He has not the modesty born of the imperfections of human nature; he has the arrogance of theological certainty and the tyranny born of ignorant assurance. Believing himself to be the slave of God, he imitates his master, and of all tyrants the worst is a slave in power.
Probability is not a mere computation of odds on the dice or more complicated variants; it is the acceptance of the lack of certainty in our knowledge and the development of methods for dealing with our ignorance.
The Scripture abounds in commands and cautions for our utmost diligence in our search and inquiry as to whether we are made partakers of Christ or not, or whether His Spirit dwells in us or not-which argue both the difficulty of attaining an assured confidence herein, as also the danger of our being mistaken, and yet the certainty of a good issue upon the diligent and regular use of means to that purpose.
The whole problem with the world is that fools and fanatics are always so certain of themselves, and wiser people so full of doubts.
I cleanse the windows of my mind, that it may become a mirror reflecting inspiration from the most High. I do this, not with strenuous effort, but through quiet contemplation, through gently reaching and affirming an inward recognition. I know exactly what to do in every situation. There is an inspiration within me which governs every act, every thought, with certainty, with conviction and in peace.
If I knew for a certainty that a man was coming to my house with the conscious design of doing me good, I should run for my life.
It seems to me that self confidence and the ability to stand one's ground are essential if we want to succeed in life. I am not talking of stupid self-assurance but of an awareness of our inner potential, a certainty that we can always correct our behavior, improve ourselves, enrich ourselves, and that things are never hopeless
Men and governments must act to the best of their ability. There is no such thing as absolute certainty but there is assurance sufficient for the purposes of human life.
The offer of certainty, the offer of complete security, the offer of an impermeable faith that can’t give way, is an offer of something not worth having. I want to live my life taking the risk all the time that I don’t know anything like enough yet; that I haven’t understood enough; that I can’t know enough; that I’m always hungrily operating on the margins of a potentially great harvest of future knowledge and wisdom. I wouldn’t have it any other way.
The remarkable thing is that it is the crowded life that is most easily remembered. A life full of turns, achievements, disappointments, surprises, and crises is a life full of landmarks. The empty life has even its few details blurred, and cannot be remembered with certainty.
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