It always seems to me absurd to speak of a complete proof of a theorem being rigorously demonstrated. An incomplete proof is no proof and a mathematical truth not rigorously demonstrated is not demonstrated at all. I do not mean to deny that there are mathematical truths, morally certain, which defy and will probably to the end of time to defy proof, as, e.g. that every indecomposable integer polynomial function must represent an infinitude of primes. I have sometimes thought that the profound mystery which envelops our conceptions relative to prime numbers depends upon the limitation of our faculties in regard to time, which like space may be in its essence poly-dimensional, and that this and such sort of truths would become self-evident to a being whose mode of perception is according to superficially as distinguished from our own limitation to linearly extended time.
James Joseph SylvesterRelated topics
certain end infinitude integer limitation mean perception proof sort space speak theorem thought truthRelated quotes
If Christ were to walk in this world today, do you know what would happen to Him? He would be placed in a mental institution and given psycho-therapy, just as would His Saints. The world would crucify Him today just as it did 2000 years ago, for the world has not learned a thing, except more devious forms of hypocrisy. And what would happen if, in one of my classes at the university, I would one day tell my students that all the learning of this world is of no importance beside the duty of worshipping God, accepting the God-man who died for our sins, and preparing for the life of the world to come? They would probably laugh at me, and the university officials, if they found out, would fire me-for it is against the law to preach the Truth in our universities. We say that we live in a Christian society, but we do not: we live in a society.
Seraphim Rose
We must be prepared to accept the will of God. The Lord permits all sorts of things to happen to us contrary to our will, for if we always have it our way, we will not be prepared for the Kingdom of Heaven. Neither heaven nor earth will receive those who are self-willed.
God has a Divine plan for each one of us, and we must submit to His plan. We must accept life as it is given to us, without asking, "Why me?” We must know that nothing on earth or in heaven ever happens without the will of God or His permission. We must not become too engrossed with our hardships but concentrate on preserving our inner peace.
Even when we are praying for something, we are trying to force our will instead of accepting God's. All hardships and sorrows that God sends us are necessary for us, but we do not understand this when we are young. When we are older, then we understand that this is the way God shows His love for us.
Tadej of Vitovnica
It is my pleasure to join all of you today as we honor President Shimon Peres, one of the bravest and most principled political leaders of our time. I was honored to join with my colleagues in the Senate to pass legislation bestowing the congressional gold medal on this great man. I was not surprised when that legislation passed unanimously, and it my hope that our colleagues in the House will move forward with their own legislation soon. President Peres deserves this honor. The story of his life is entwined with the story of the birth and development of the State of Israel, and in him we see the essence of Israel itself--an invincible spirit that cannot be denied. Through his determination, his strength and perseverance, and his profound compassion, President Peres enabled a seemingly impossible dream to become a reality and changed forever the destiny of the Jewish people.
John McCain
As a Line, I say, is looked upon to be the Trace of a Point moving forward, being in some sort divisible by a Point, and may be divided by Motion one Way, viz. as to Length; so Time may be conceiv'd as the Trace of a Moment continually flowing, having some Kind of Divisibility from an Instant, and from a successive Flux, inasmuch as it can be divided some how or other. And like as the Quantity of a Line consists of but one Length following the Motion; so the Quantity of Time pursues but one Succession stretched out as it were in Length, which the Length of the Space moved over shews and determines. We therefore shall always express Time by a right Line; first, indeed, taken or laid down at Pleasure, but whose Parts will exactly answer to the proportionable Parts of Time, as its Points do to the respective Instants of Time, and will aptly serve to represent them. Thus much for Time.
Isaac Barrow
Yes, sex may be at least in part inflected by politics, our fantasies may be at least in part a compendium of cultural myths, but the ways in which sex and fantasy ripen within the individual seem to me to vary so greatly that summaries become useless, even dangerous.But if I were to venture my own generalizations, I would say that with the collapse of other social values (those of religion, patriotism, the family and so on), sex has been forced to take up the slack, to become our sole mode of transcendence and our only touchstone of authenticity. The cry for scorching, multiple orgasms, the drive toward impeccable and virtuoso performance, the belief that only in complete sexual compatibility lies true intimacy, the insistence that sex is the only mode for experiencing thrills, for achieving love, for assessing and demonstrating personal worth - all these projects are absurd.
Edmund White