Academics From Germany

"All the measurements in the world do not balance one theorem by which the science of eternal truths is actually advanced."

"Yes! The world would be nonsense, the whole creation an absurdity without immortality."

"You say that faith is a gift; this is perhaps the most correct thing that can be said about it."

"I scarcely believe that in psychology data are present which can be mathematically evaluated. But one cannot know this with certainty, without having made the experiment. God alone is in possession of the mathematical bases of psychic phenomena."

"I believe you are more believing in the Bible than I. I am not, and, you are much happier than I. I must say that so often in earlier times when I saw people of the lower classes, simple manual laborers who could believe so rightly with their hearts, I always envied them, and now tell me how does one begin this?"

"Finally, a few days ago, it has been achieved - but not by my cumbersome search, rather through God’s good grace, I am tempted to say. As the lightning strikes the riddle was solved; I myself would be unable to point to a guiding thread between what I knew before, what I had used in my last attempts, and what made it work."

"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."

"I confess that Fermat's Theorem as an isolated proposition has very little interest for me, because I could easily lay down a multitude of such propositions, which one could neither prove nor dispose of."

"If others would but reflect on mathematical truths as deeply and as continuously as I have, they would make my discoveries."

"I have had my results for a long time: but I do not yet know how I am to arrive at them."

"It may be true, that men, who are mere mathematicians, have certain specific shortcomings, but that is not the fault of mathematics, for it is equally true of every other exclusive occupation. So there are mere philologists, mere jurists, mere soldiers, mere merchants, etc. To such idle talk it might further be added: that whenever a certain exclusive occupation is coupled with specific shortcomings, it is likewise almost certainly divorced from certain other shortcomings."

"The principle that the sum of the squares of the differences between the observed and computed quantities must be a minimum may, in the following manner, be considered independently of the calculus of probabilities. When the number of unknown quantities is equal to the number of the observed quantities depending on them, the former may be so determined as exactly to satisfy the latter. But when the number of the former is less than that of the latter, an absolutely exact agreement cannot be obtained, unless the observations possess absolute accuracy. In this case care must be taken to establish the best possible agreement, or to diminish as far as practicable the differences. This idea, however, from its nature, involves something vague. For, although a system of values for the unknown quantities which makes all the differences respectively less than another system, is without doubt to be preferred to the latter, still the choice between two systems, one of which presents a better agreement in some observations, the other in others, is left in a measure to our judgment, and innumerable different principles can be proposed by which the former condition is satisfied. Denoting the differences between observation and calculation by A, A’, A’’, etc., the first condition will be satisfied not only if AA + A’ A’ + A’’ A’’ + etc., is a minimum (which is our principle) but also if A4 + A’4 + A’’4 + etc., or A6 + A’6 + A’’6 + etc., or in general, if the sum of any of the powers with an even exponent becomes a minimum. But of all these principles ours is the most simple; by the others we should be led into the most complicated calculations."

"The history of the apple is too absurd. Whether the apple fell or not, how can any one believe that such a discovery could in that way be accelerated or retarded? Undoubtedly, the occurrence was something of this sort. There comes to Newton a stupid, importunate man, who asks him how he hit upon his great discovery. When Newton had convinced himself what a noodle he had to do with, and wanted to get rid of the man, he told him that an apple fell on his nose; and this made the matter quite clear to the man, and he went away satisfied."

"The perturbations which the motions of planets suffer from the influence of other planets, are so small and so slow that they only become sensible after a long interval of time; within a shorter time, or even within one or several revolutions, according to circumstances, the motion would differ so little from motion exactly described, according to the laws of Kepler, in a perfect ellipse, that observations cannot show the difference. As long as this is true, it not be worth while to undertake prematurely the computation of the perturbations, but it will be sufficient to adapt to the observations what we may call an osculating conic section: but, afterwards, when the planet has been observed for a longer time, the effect of the perturbations will show itself in such a manner, that it will no longer be possible to satisfy exactly all the observations by a purely elliptic motion; then, accordingly, a complete and permanent agreement cannot be obtained, unless the perturbations are properly connected with the elliptic motion."

"Show me just what Muhammad brought that was new, and there you will find things only evil and inhuman, such as his command to spread by the sword the faith he preached. God is not pleased by blood - and not acting reasonably is contrary to God's nature. Faith is born of the soul, not the body. Whoever would lead someone to faith needs the ability to speak well and to reason properly, without violence and threats... To convince a reasonable soul, one does not need a strong arm, or weapons of any kind, or any other means of threatening a person with death."

"Pope Benedict XVI said homosexuals end up destroying themselves so the Church has a duty to speak out on moral issues that affect the very spiritual and physical lives of man. "In seeking to emancipate himself from his body [man] ends up by destroying himself," the pope told cardinals, archbishops, bishops and members of the Roman Curia last week in a traditional meeting overlooked by most of the world's press. [...] The pope also lamented low birth rates in Europe, saying couples no longer seem to want children. This fact, he said, has "penetrated my soul." "Men and women today are unsure about the future," he explained. "This fact, alongside the desire to have all of life to themselves, is perhaps the most profound reason for which the risk of having children appears to many as almost unbearable. ... If we do not relearn the basic foundations of life – if we do not rediscover the certainty of faith – it will also be ever more difficult for us to give others the gift of life and the challenges of an unknown future." The pope also referred to the controversy over same-sex marriage. "At this point, I cannot fail to mention my concern over 'de facto' couples," he said. "When new legislation is created that relativizes marriage, the rejection of the definitive bond gains, so to speak, juridical endorsement. Relativizing the difference between the sexes ... tacitly confirms those bleak theories which seek to remove all relevance from a human being's masculinity or femininity, as if this were a purely biological matter.""

"I’m gonna miss the old sith lord. He was the best pope atheists could hope for. He started out as a Hitler youth actually wearing a Nazi uniform. As a Cardinal, he famously conspired to conceal sex crimes against children for the sake of the church. As pope, he addressed an audience in an AIDS ravaged area of Africa, and told them that use of condoms actually increased risk of STDs. His objection to birth-control took precedence over human life. That is how evil he is."

"He has the intelligence of 12 professors and is as pious as a child on the day of his first communion."

"The pope understands this eternal truth: Societies cannot endure for long without a belief in God and a submission to His will. We are ignoring him at our peril."

"Pope Benedict XVI is working softly, slowly, often silently, unobtrusively, behind the scenes, mostly unseen. But he is working hard. I like the great job of reconciliation that he is doing inside the Roman Catholic Church: reconciliation between traditionalists and liberals, conservative and reform-oriented faithful, liturgical Latinists and Mass polyglots, old-time lovers and progressives, high-flying souls and pedestrian believers, thinkers and doers--Christians and Catholics. It is a hidden work of diplomacy, interactions, influences, concessions, agreements, acknowledgments. A "hard job" well done until now."

"You represent a large nation of believers that knows what the Bible is, and it is your duty to pass on the message that the Jewish people deserve a renaissance, and a little respect - to live in this land."

"Charity without faith is meaningless, and faith without charity remains a dead letter."

"After having repeatedly examined my conscience before God, I have come to the certainty that my strengths due to an advanced age are no longer suited to an adequate exercise of the Petrine ministry. In order to govern the bark of St. Peter and proclaim the Gospel, both strength of mind and body are necessary — strengths which in the last few months, have deteriorated in me to the extent that I have had to recognize my incapacity to adequately fulfill the ministry entrusted to me."

"Is disobedience a path of renewal for the Church? ... Surely Christ Himself corrected human traditions which threatened to stifle the word and the will of God? Indeed He did, so as to rekindle obedience to the true will of God, to His ever enduring word. His concern was for true obedience, as opposed to human caprice."

"It is impossible to interpret Jesus as a violent person. Violence is contrary to the Kingdom of God, it is a tool of the Antichrist. Violence never serves humanity, but dehumanizes."

"Making my own the concerns of my venerable Predecessors, I consider it opportune to offer appropriate responses so that the entire Church, allowing herself to be regenerated by the power of the Holy Spirit, may present herself to the contemporary world with a missionary impulse in order to promote the new evangelization."

"It is the duty of the Church to proclaim always and everywhere the Gospel of Jesus Christ."

"One of the greatest challenges facing the economy is to achieve the most efficient use — not abuse — of natural resources"

"Projects for integral human development cannot ignore coming generations, but need to be marked by solidarity and inter-generational justice"

"Every economic decision has a moral consequence."

"The market does not exist in the pure state. It is shaped by the cultural configurations which define it and give it direction."

"In and of itself, the market is not, and must not become, the place where the strong subdue the weak."

"The primary capital to be safeguarded and valued is man, the human person in his or her integrity"

"Uncertainty over working conditions caused by mobility and deregulation, when it becomes endemic, tends to create new forms of psychological instability, giving rise to difficulty in forging coherent life-plans, including that of marriage."

"Rights presuppose duties, if they are not to become mere licence"

"[R]eason and faith can come to each other's assistance. Only together will they save man. Entranced by an exclusive reliance on technology, reason without faith is doomed to flounder in an illusion of its own omnipotence. Faith without reason risks being cut off from everyday life"

"Reason always stands in need of being purified by faith: this also holds true for political reason, which must not consider itself omnipotent. For its part, religion always needs to be purified by reason in order to show its authentically human face. Any breach in this dialogue comes only at an enormous price to human development."

"Nature expresses a design of love and truth."

"The Church does not have technical solutions to offer and does not claim “to interfere in any way in the politics of States.” She does, however, have a mission of truth to accomplish, in every time and circumstance, for a society that is attuned to man, to his dignity, to his vocation. Without truth, it is easy to fall into an empiricist and sceptical view of life, incapable of rising to the level of praxis because of a lack of interest in grasping the values — sometimes even the meanings — with which to judge and direct it. Fidelity to man requires fidelity to the truth, which alone is the guarantee of freedom (cf. Jn 8:32) and of the possibility of integral human development. For this reason the Church searches for truth, proclaims it tirelessly and recognizes it wherever it is manifested. This mission of truth is something that the Church can never renounce. Her social doctrine is a particular dimension of this proclamation: it is a service to the truth which sets us free. Open to the truth, from whichever branch of knowledge it comes, the Church's social doctrine receives it, assembles into a unity the fragments in which it is often found, and mediates it within the constantly changing life-patterns of the society of peoples and nations"

"Only in truth does charity shine forth, only in truth can charity be authentically lived. Truth is the light that gives meaning and value to charity. That light is both the light of reason and the light of faith, through which the intellect attains to the natural and supernatural truth of charity: it grasps its meaning as gift, acceptance, and communion. Without truth, charity degenerates into sentimentality. Love becomes an empty shell, to be filled in an arbitrary way. In a culture without truth, this is the fatal risk facing love. It falls prey to contingent subjective emotions and opinions, the word “love” is abused and distorted, to the point where it comes to mean the opposite. Truth frees charity from the constraints of an emotionalism that deprives it of relational and social content, and of a fideism that deprives it of human and universal breathing-space."

"If the Church were to start transforming herself into a directly political subject, ... she would do less, not more, for the poor and for justice, because she would lose her independence and her moral authority, identifying herself with a single political path and with debatable partisan positions. The Church is the advocate of justice and of the poor, precisely because she does not identify with politicians nor with partisan interests. Only by remaining independent can she teach the great criteria and inalienable values, guide consciences and offer a life choice that goes beyond the political sphere. To form consciences, to be the advocate of justice and truth, to educate in individual and political virtues: that is the fundamental vocation of the Church in this area. And lay Catholics must be aware of their responsibilities in public life; they must be present in the formation of the necessary consensus and in opposition to injustice."

"Love — caritas — is an extraordinary force which leads people to opt for courageous and generous engagement in the field of justice and peace. It is a force that has its origin in God, Eternal Love and Absolute Truth. Each person finds his good by adherence to God's plan for him, in order to realize it fully: in this plan, he finds his truth, and through adherence to this truth he becomes free (cf. Jn 8:32). To defend the truth, to articulate it with humility and conviction, and to bear witness to it in life are therefore exacting and indispensable forms of charity. Charity, in fact, “rejoices in the truth” (1 Cor 13:6)."

"Too often, though, the beauty that is thrust upon us is illusory and deceitful, superficial and blinding, leaving the onlooker dazed; instead of bringing him out of himself and opening him up to horizons of true freedom as it draws him aloft, it imprisons him within himself and further enslaves him, depriving him of hope and joy. It is a seductive but hypocritical beauty that rekindles desire, the will to power, to possess, and to dominate others, it is a beauty which soon turns into its opposite, taking on the guise of indecency, transgression or gratuitous provocation. Authentic beauty, however, unlocks the yearning of the human heart, the profound desire to know, to love, to go towards the Other, to reach for the Beyond."

"One must not fear truth, because it is a friend of man and of his freedom"

"Certainly, the contradiction of tensions and divisions between the followers of different religious traditions, sadly, cannot be denied. However, is it not also the case that often it is the ideological manipulation of religion, sometimes for political ends, that is the real catalyst for tension and division, and at times even violence in society?"

"In times like these, given the cultural and social context in which we are living, there may be a greater risk of reducing Christian hope to an ideology, to a group slogan or to outward appearances. Nothing is more contrary to Jesus' message! He does not want his disciples to "recite" a part, even that of hope. He wants them "to be" hope and they can only be hope if they remain united to him! He wishes each one of you, dear young friends, to be a small source of hope for your neighbour and, all together, to become an oasis of hope for the society in which you are integrated."

"While they are growing up, the young need adults who can suggest principles and values to them. They feel in need of people who can teach by their example, more than by their words, to expend themselves for high ideals."

"The time has come for me to say good-bye-or better, 'arrivederci!'. World Youth Day 2011 will take place in Madrid, Spain. Until then, let us continue to pray for one another, and let us joyfully bear witness to Christ before the world."

"We too must remain faithful to the 'yes' we have given to the Lord's offer of friendship. We know that he will never abandon us. We know that he will always sustain us through the gifts of the Spirit. Mary accepted the Lord's' proposal' in our name. So let us turn to her and ask her to guide us as we struggle to remain faithful to the life-giving relationship God has established with each one of us."

"For [the Virgin] Mary there were many struggles ahead as she lived out the consequences of the 'yes' she had given to the Lord. Simeon prophesied that a sword would pierce her heart. When Jesus was twelve she experienced every parent's worst nightmare when for three days the child was missing. And after his public ministry she suffered the agony of witnessing his crucifixion and death. Throughout her trials she remained faithful to her promise, sustained by the Spirit of fortitude. And she was generously rewarded."