A Quote by Julio Cesar de Mello e Souza
Mathematics is one of the surest ways for a man to feel the power of thought and the magic of the spirit. Mathematics is one of the eternal truths and, as such, raises the spirit to the same level on which we feel the presence of God.
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There is no thing as a man who does not create mathematics and yet is a fine mathematics teacher. Textbooks, course material-these do not approach in importance the communication of what mathematics is really about, of where it is going, and of where it currently stands with respect to the specific branch of it being taught. What really matters is the communication of the spirit of mathematics. It is a spirit that is active rather than contemplative-a spirit of disciplined search for adventures of the intellect. Only as adventurer can really tell of adventures.
The world of ideas which it [mathematics] discloses or illuminates, the contemplation of divine beauty and order which it induces, the harmonious connexion of its parts, the infinite hierarchy and absolute evidence of the truths with which it is concerned, these, and such like, are the surest grounds of the title of mathematics to human regard, and would remain unimpeached and unimpaired were the plan of the universe unrolled like a map at our feet, and the mind of man qualified to take in the whole scheme of creation at a glance.
Do not allow darkness and gloom to enter into your hearts. I want to give you a rule by which you may know that the spirit which you have is the right spirit. The Spirit of God produces cheerfulness, joy, light and good feelings. Whenever you feel gloomy and despondent and are downcast, unless it be for your sins, you may know it is not the Spirit of God which you have. Fight against it and drive it out of your heart. The Spirit of God is a spirit of hope; it is not a spirit of gloom.
If you ask ... the man in the street ... the human significance of mathematics, the answer of the world will be, that mathematics has given mankind a metrical and computatory art essential to the effective conduct of daily life, that mathematics admits of countless applications in engineering and the natural sciences, and finally that mathematics is a most excellent instrumentality for giving mental discipline... [A mathematician will add] that mathematics is the exact science, the science of exact thought or of rigorous thinking.
Mystery is an inescapable ingredient of mathematics. Mathematics is full of unanswered questions, which far outnumber known theorems and results. It's the nature of mathematics to pose more problems than it can solve. Indeed, mathematics itself may be built on small islands of truth comprising the pieces of mathematics that can be validated by relatively short proofs. All else is speculation.
When the Holy Spirit comes to live within you, He will come with the ability to produce righteousness. Righteousness is the nature of God, which when imparted to the human spirit, produces the rightness of God in the human spirit. It gives man right standing with God; it gives him the ability to stand in the presence of God without a sense of guilt, inferiority or condemnation. It means rightness in God. The righteousness of God is wrought in you.
Generally there is in man a divinity which strives to push him onward and upward. We believe that this power within him is the spirit that comes from God. Man lived before he came to this earth, and he is here now to strive to perfect the spirit within. At sometime in his life, every man is conscious of a desire to come in touch with the Infinite. His spirit reaches out for God. This sense of feeling is universal, and all men ought to be, in deepest truth, engaged in the same great work—the search for and the development of spiritual peace and freedom.
All our surest statements about the nature of the world are mathematical statements, yet we do not know what mathematics "is"... and so we find that we have adapted a religion strikingly similar to many traditional faiths. Change "mathematics" to "God" and little else might seem to change. The problem of human contact with some spiritual realm, of timelessness, of our inability to capture all with language and symbol-all have their counterparts in the quest for the nature of Platonic mathematics.
The thought of the presence of God and the spirit of worship will in all my actions have as their immediate object Jesus, God and man, really present in the most holy Eucharist. The spirit of sacrifice, of humiliation, of scorn for self in the eyes of men, will be illuminated, supported and strengthened by the constant thought of Jesus, humiliated and despised in the Blessed Sacrament
The divine life is the spirit in everything that exists, from the atom to the archangel; the grain of dust could not be were God absent from it; the loftiest seraph is but a spark from the eternal fire, which is God. Sharers in one life all form one brotherhood. The immanence of God, the solidarity of man, such are the basic truths of theosophy.
Abstractness, sometimes hurled as a reproach at mathematics, is its chief glory and its surest title to practical usefulness. It is also the source of such beauty as may spring from mathematics.
This is a wonderful book, unique and engaging. Diaconis and Graham manage to convey the awe and marvels of mathematics, and of magic tricks, especially those that depend fundamentally on mathematical ideas. They range over many delicious topics, giving us an enchanting personal view of the history and practice of magic, of mathematics, and of the fascinating connection between the two cultures. Magical Mathematics will have an utterly devoted readership.
Mathematics is, in many ways, the most precious response that the human spirit has made to the call of the infinite.
Mathematics is the most exact science, and its conclusions are capable of absolute proof. But this is so only because mathematics does not attempt to draw absolute conclusions. All mathematical truths are relative, conditional. In E. T. Bell Men of Mathematics, New York: Simona and Schuster, 1937.
The things of God are understood by the Spirit of God. That Spirit is real. To those who have experienced its workings, the knowledge so gained is as real as that received through the operation of the five senses. I testify of this. . . . I urge you to continue throughout your lives to cultivate a heart in tune with the Spirit. If you do so, your lives will be enriched. You will feel a kinship with God our Eternal Father. You will taste the sweetness of joy that can be had in no other way.
But there is another reason for the high repute of mathematics: it is mathematics that offers the exact natural sciences a certain measure of security which, without mathematics, they could not attain.
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