To choose one sock from each of infinitely many pairs of socks requires the Axiom of Choice, but for shoes the Axiom is not needed.
It is quite true that you have had infinitely more influence on me intellectually than anyone, and for this alone I love you.vita sackville-west
Kerala 's capital Tiruvanathapuram or Trivandrum which is infinitely easier to say and write was named after the Serpent God Anantha, on whom Lord Vishnu reclines.
It was the same world then as nowthe same, Except for little differences of speed And power, and means to treat myopia To show an axe-blade infinitely sharp Splitting things infinitely small.EdwinJohn Pratt
The twentieth century saw an amazing development of scholarship and criticism in the humanities, carried out by people who were more intelligent, better trained, had more languages, had a better sense of proportion, and were infinitely more accurate scholars and competent professional men than I. I had genius. No one else in the field known to me had quite that.Northrop Frye
The enchanting charms of this sublime science reveal themselves in all their beauty only to those who have the courage to go deeply into it. But when a person of that sex, that, because of our mores and our prejudices, has to encounter infinitely more obstacles and difficulties than men in familiarizing herself with these thorny research problems, nevertheless succeeds in surmounting these obstacles and penetrating their most obscure parts, she must without doubt have the noblest courage, quite extraordinary talents and superior genius.carl friedrich gauss
There are problems to whose solution I would attach an infinitely greater importance than to those of mathematics, for example touching ethics, or our relation to God, or concerning our destiny and our future; but their solution lies wholly beyond us and completely outside the province of science.carl friedrich gauss
Regardless of nationality, all men are brothers. God is "our Father who art in heaven." The commandment "Thou shalt not kill" is unconditional and inexorable. … The lowly Nazarene taught us the doctrine of non-resistance, and so convinced was he of the soundness of that doctrine that he sealed his belief with death on the cross. … When human law conflicts with Divine law, my duty is clear. Conscience, my infallible guide, impels me to tell you that prison, death, or both, are infinitely preferable to joining any branch of the Army.ben salmon
Opulent, civilized, and industrious nations, are greater consumers than poor ones, because they are infinitely greater producers.jean-baptiste say
She couldn't see that, though, because the haze out at sea erased the ship long before it could beyond the horizon, drawing after it the other ships. Diane felt the thread of connection between her and Danny drawn out infinitely thin, until it broke with a hurt to her heart she'd known she'd have to feel, but worse than she thought it would be.john crowley
For I've finally realized, that I could be infinitely better than before, definitely stronger. I'll face whatever comes my way, I'll savor each moment of the day, Love as many people as I can along the way. Help someone who's given up, even if it's just to raise my eyes and pray.gloria estefan
Men are not in hell because God is angry with them. They are in wrath and darkness because they have done to the light , which infinitely flows forth from God , as that man does to the light who puts out his own eyes .william law
Like all real treasures of the mind, perception can be split into infinitely small fractions without losing its quality. The weeds in a city lot convey the same lesson as the redwoods; the farmer may see in his cow-pasture what may not be vouchsafed to the scientist adventuring in the South Seas.aldo leopold
If the whole earth is infinitely small in comparison with the sphere of the stars, what is man compared with all these created beings? How, then, could any one of us imagine that these things exist for his sake and benefit, and that they are his tools! This is a result of an examination of the corporeal beings: how much more so will be the result of an examination of the Intelligences!maimonides
Statistically the probability of any one of us being here is so small that you would think the mere fact of existence would keep us all in a contented dazzlement of surprise. We are alive against the stupendous odds of genetics, infinitely outnumbered by all the alternates who might, except for luck, be in our places.lewis thomas
Knowledge of that which concerns us infinitely is possible only in an attitude of infinite concern.paul tillich
No priestly dogmas, invented on purpose to tame and subdue the rebellious reason of mankind, ever shocked common sense more than the doctrine of the infinitive divisibility of extension, with its consequences; as they are pompously displayed by all geometricians and metaphysicians, with a kind of triumph and exultation. A real quantity, infinitely less than any finite quantity, containing quantities infinitely less than itself, and so on in infinitum; this is an edifice so bold and prodigious, that it is too weighty for any pretended demonstration to support, because it shocks the clearest and most natural principles of human reason.David Hume
The Greeks failed to comprehend the infinitely large, the infinitely small, and infinite processes. They "shrank before the silence of the infinite spaces."
To avoid any assertion about the infinitude of the straight line, Euclid says a line segment (he uses the word "line" in this sense) can be extended as far as necessary. Unwillingness to involve the infinitely large is seen also in Euclid's statement of the parallel axiom. Instead of considering two lines that extend to infinity and giving a direct condition or assumption under which parallel lines might exist, his parallel axiom gives a condition under which two lines will meet at some finite point.
I think it is impossible to give credit to testimony that would prove infinitely more than can be brought within the bounds of probability.
It is infinitely better that a cause should be tried upon a view had by any twelve than by six of the first twelve; or by any six; or by fewer than six; or even without any view at all, than that the trial should be delayed from year to year, perhaps for ever: it can never be proper or necessary to grant a view which is asked and used for so unjust a purpose.
Life is infinitely stranger than anything which the mind of man could invent. We would not dare to conceive the things which are really mere commonplaces of existence. If we could fly out of that window hand in hand, hover over this great city, gently remove the roofs, and peep in at the queer things which are going on, the strange coincidences, the plannings, the cross-purposes, the wonderful chains of events, working through generations, and leading to the most outre results, it would make all fiction with its conventionalities and foreseen conclusions most stale and unprofitable.
Statistically , the probability of any one of us being here is so small that you'd think the mere fact of existing would keep us all in a contented dazzlement of surprise . We are alive against the stupendous odds of genetics , infinitely outnumbered by all the alternatives who might, except for luck , be in our places.
The inquiring subject must be in one of two situations: either he must in faith be convinced of the truth of Christianity and his own relation to it, in which case all the rest cannot possibly be of infinite interest, since faith is precisely the infinite interest in Christianity and any other interest easily becomes a temptation; or he is not in a relationship of faith but is objectively in a relationship of observation and as such is not infinitely interested in deciding the question.
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