Top 91 Conjecture Quotes & Sayings - Page 2

A private man has always the liberty (because thought is free) to believe or not believe in his heart those acts that have been given out for miracles, according as he shall see what benefits can accrue by men's belief, to those that pretend, or countenance them, and thereby conjecture whether they be miracles or lies.

The development of mathematics toward greater precision has led, as is well known, to the formalization of large tracts of it, so that one can prove any theorem using nothing but a few mechanical rules... One might therefore conjecture that these axioms and rules of inference are sufficient to decide any mathematical question that can at all be formally expressed in these systems. It will be shown below that this is not the case, that on the contrary there are in the two systems mentioned relatively simple problems in the theory of integers that cannot be decided on the basis of the axioms.

The agnostic does not simply say, "l do not know." He goes another step, and he says, with great emphasis, that you do not know. He insists that you are trading on the ignorance of others, and on the fear of others. He is not satisfied with saying that you do not know, -- he demonstrates that you do not know, and he drives you from the field of fact -- he drives you from the realm of reason -- he drives you from the light, into the darkness of conjecture -- into the world of dreams and shadows, and he compels you to say, at last, that your faith has no foundation in fact.

The world, and whatever that be which we call the heavens, by the vault of which all things are enclosed, we must conceive to be a deity, to be eternal, without bounds, neither created nor subject at any time to destruction. To inquire what is beyond it is no concern of man; nor can the human mind form any conjecture concerning it.

Alas! What is man? Whether he be deprived of that light which is from on high, of whether he discard it, a frail and trembling creature; standing on time, that bleak and narrow isthmus between two eternities, he sees nothing but impenetrable darkness on the one hand, and doubt, distrust, and conjecture, still more perplexing, on the other. Most gladly would he take an observation, as to whence he has come, or whither he is going; alas, he has not the means: his telescope is too dim, his compass too wavering, his plummet too short.

So in this case, Kalamas, don't go by reports, by legends, by traditions, by scripture, by logical conjecture, by inference, by analogies, by agreement through pondering views, by probability, or by the thought, 'This contemplative is our teacher.' When you know for yourselves that, 'These qualities are unskillful; these qualities are blameworthy; these qualities are criticized by the wise; these qualities, when adopted & carried out, lead to harm & to suffering' - then you should abandon them.

The importance of the romantic element does not rest upon conjecture. Pleasing testimonies abound. Hannah More traced her earliest impressions of virtue to works of fiction; and Adam Clarke gives a list of tales that won his boyish admiration. Books of entertainment led him to believe in a spiritual world; and he felt sure of having been a coward, but for romances. He declared that he had learned more of his duty to God, his neighbor and himself from Robinson Crusoe than from all the books, except the Bible, that were known to his youth.

In the space of one hundred and seventy-six years the Mississippi has shortened itself two hundred and forty-two miles. Therefore, in the Old Silurian Period the Mississippi River was upward of one million three hundred thousand miles long, seven hundred and forty-two years from now the Mississippi will be only a mile and three-quarters long. There is something fascinating about science. One gets such wholesome returns of conjecture out of such a trifling investment of fact.

It is well to fetter the wings of our fancy and restrain its flights. It is quite possible we may have formed entirely erroneous ideas of what we actually see. The greenish gray patches may not be seas at all, nor the ruddy continents, solid land. Neither may the obscuring patches be clouds of vapor. Man is too quick at forming conclusions. Let him but indistinctly see a thing, or even be undecided as to whether he does actually see it and he will then and there set himself to theorizing, and build immense castles of conjecture on a foundation, of whose existence he is by no means certain.

Do not believe what you have heard Do not believe in tradition because it is handed down many generations Do not believe in anything that has been spoken of many times Do not believe because the written statements come from some old sage Do not believe in conjecture Do not believe in authority, or teachers, or elders But after careful observation and analysis, when it agrees with reason and it will benefit one and all, then accept it and live by it.

To believe straight away is foolishness, to believe after having seen clearly is good sense. That is the Buddhist policy in belief; not to believe stupidly, or to rely only on people, textbooks, conjecture, reasoning, or whatever the majority believes, but rather to believe what we see clearly for ourselves to be the case. This is how it is in Buddhism.

Having always observed that most of them who constantly took in the weekly Bills of Mortality made little other use of them than to look at the foot how the burials increased or decreased, and among the Casualties what had happened, rare and extraordinary, in the week current; so as they might take the same as a Text to talk upon in the next company, and withal in the Plague-time, how the Sickness increased or decreased, that the Rich might judg of the necessity of their removal, and Trades-men might conjecture what doings they were likely to have in their respective dealings.

Nothing is known in our profession by guess; and I do not believe, that from the first dawn of medical science to the present moment, a single correct idea has ever emanated from conjecture: it is right therefore, that those who are studying their profession should be aware that there is no short road to knowledge; and that observation on the diseased living, examination of the dead, and experiments upon living animals, are the only sources of true knowledge; and that inductions from these are the sole bases of legitimate theory.

Two things fill the mind with ever new and increasing admiration and awe, the more often and steadily we reflect upon them: the starry heavens above me and the moral law within me. I do not seek or conjecture either of them as if they were veiled obscurities or extravagances beyond the horizon of my vision; I see them before me and connect them immediately with the consciousness of my existence.

While the scientist, on the one hand, is concerned with giving a faithful description of facts, on the other, he has the equally important task of construing them in relation to some explanatory conjecture. Similarly the historian has a double duty: both of reporting the past as nearly as possible as it passed or was lived through by men at the time (without doctoring up events to fit later developments or some more "enlightened reading" of them); and second, of interpreting their import in the light of a present hypothesis.

My conjecture is that most people will refuse to let go, even when their lives have become boring (at least in comparisons with possible lives lived by new generations). If this happens, there will eventually be no room for new generations. A kind of collective irrationality will lead to a bleak life for the last generation that decides to stay around. Unless we put and end to the human race (through global warming, for example), before this happens, individual egoism will block the path to a better world.

I was so frivolous for so many years. It was so much fun, but you feel guilty about the brain energy you use to think about whether some celebrity was sleeping with another celebrity. The conjecture that goes along with that. You feel like your mind has been shot apart.

You could hear the wind in the leaves, and on that wind traveled the screams of the kids on the playground in the distance, the little kids figuring out how to be alive, how to navigate a world that was not built for them by navigating a playground that was. . . Who am I to say that these things might not be forever? Who is Pete Van Houten to assert as fact the conjecture that our labor is temporary? All I know of heaven and all I know of death is in this park: an elegant universe in ceaseless motion, teeming with ruined ruins and screaming children.

You should not put too much trust in any unproved conjecture, even if it has been propounded by a great authority, even if it has been propounded by yourself. You should try to prove it or disprove it.

From Man or Angel the great Architect Did wisely to conceal, and not divulge, His secrets, to be scanned by them who ought Rather admire. Or, if they list to try Conjecture, he his fabric of the Heavens Hath left to their disputes - perhaps to move His laughter at their quaint opinions wide Hereafter, when they come to model Heaven And calculate the stars: how they will wield The mighty frame: how build, unbuild, contrive To save appearances; how gird the Sphere With Centric and Eccentric scribbled o'er, Cycle and Epicycle, Orb in Orb.

From the almost total absence of fossil evidence relative to the origin of the phyla, it follows that any explanation of the mechanism in the creative evolution of the fundamental structural plans is heavily burdened with hypothesis. This should appear as an epigraph to every book on evolution. The lack of direct evidence leads to the formulation of pure conjecture as to the genesis of the phyla; we do not even have a basis to determine the extent to which these opinions are correct.

A line partakes of the simplicity of a point more than does a surface; and a surface [partakes thereof more] than does a material object-as was evident. From this consideration of a point and a material object elevate yourself unto a likeness of True Being and of the universe; and by means of [this] quite clear symbolism [of a point] make a conjecture about what has been said.

Ourselves are cosmic and capacious beyond conjecture, and to experience some notion of the planetary perspective is the richest income from travelling. It takes all to inform and educate all. Sallies forth from our cramped firesides into other homes, other hearts, are wonderfully wholesome and enlarging. Travel opens prospects on all sides, widens our horizon, liberates the mind from geographical and conventional limitations, from local prejudices and national, showing the globe in its differing climates, zones, and latitudes of intelligence.

The extraordinary fact is that the first idea I had which motivated me, that worked, is conjecture, a mathematical idea which may or may not be true. And that idea is still unproven. It is the foundation, what started me and what everybody failed to **** prove has so far defeated the greatest efforts by experts to be proven.

Following the enormous conjecture in the press over the last two weeks, I wish to confirm that I have been tested HIV positive and have AIDS. I felt it correct to keep this information private to date to protect the privacy of those around me. However, the time has come now for my friends and fans around the world to know the truth and I hope that everyone will join with my doctor and all those worldwide in the fight against this terrible disease.

When we seek a textbook case for the proper operation of science, the correction of certain error offers far more promise than the establishment of probable truth. Confirmed hunches, of course, are more upbeat than discredited hypotheses. Since the worst traditions of "popular" writing falsely equate instruction with sweetness and light, our promotional literature abounds with insipid tales in the heroic mode, although tough stories of disappointment and loss give deeper insight into a methodology that the celebrated philosopher Karl Popper once labeled as "conjecture and refutation.

Whether a law be void for its repugnancy to the Constitution, is, at all times, a question of much delicacy, which out seldom, if ever, to be decided in the affirmative, in doubtful case. ... But it is not on slight implication and vague conjecture that the legislature is to be pronounced to have transcended its powers, and its acts to be considered as void. The opposition between the Constitution and the law should be such that the judge feels a clear and strong conviction of their incompatibility with each other.

But there are times when men have serious thoughts, and it is at such times, when they begin to think, that they begin to doubt the truth of the Christian religion; and well they may, for it is too fanciful and too full of conjecture, inconsistency, improbability and irrationality, to afford consolation to the thoughtful man. His reason revolts against his creed. He sees that none of its articles are proved, or can be proved.

If a man in order to shoot a hare, were to discharge thousands of guns on a great moor in all possible directions; if in order to get into a locked room, he were to buy ten thousand casual keys, and try them all; if, in order to have a house, he were to build a town, and leave all the other houses to wind and weather - assuredly no one would call such proceedings purposeful and still less would anyone conjecture behind these proceedings a higher wisdom, unrevealed reasons, and superior prudence.

Given a conjecture, the best thing is to prove it. The second best thing is to disprove it. The third best thing is to prove that it is not possible to disprove it, since it will tell you not to waste your time trying to disprove it. That's what Gödel did for the Continuum Hypothesis.

There may be a soul of the world, there may be ... a psychical side, of which we are not aware, to every atom in the universe, and the psychical side, like the moon, may show us ever but the one face, the other forever in the shadow; but, at best, this is only a conjecture, it presents no solid foundation upon which to rest a theory.