A Quote by Francois Viete
There is a certain way of searching for the truth in mathematics that Plato is said first to have discovered. Theon called this analysis.
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When a truth is necessary, the reason for it can be found by analysis, that is, by resolving it into simpler ideas and truths until the primary ones are reached. It is this way that in mathematics speculative theorems and practical canons are reduced by analysis to definitions, axioms and postulates.
[Mathematics] is security. Certainty. Truth. Beauty. Insight. Structure. Architecture. I see mathematics, the part of human knowledge that I call mathematics, as one thing - one great, glorious thing. Whether it is differential topology, or functional analysis, or homological algebra, it is all one thing. ... They are intimately interconnected, they are all facets of the same thing. That interconnection, that architecture, is secure truth and is beauty. That's what mathematics is to me.
He raised his eyes. "Sister. See. This time I knew you." Asha's heart skipped a beat. "Theon?" His lips skinned back in what might have been a grin. Half his teeth were gone, and half those still left him were broken and splintered. "Theon," he repeated. "My name is Theon. You have to know your name.
The ancient Greeks, as Plato reports, believed that we discover truth through "reminiscence," that is by "remembering," by intuitively searching into our own experience.
Plato, by the way, wanted to banish all poets from his proposed Utopia because they were liars. The truth was that Plato knew philosophers couldn't compete successfully with poets.
All those formal systems, in mathematics and physics and the philosophy of science, which claim to give foundations for certain truth are surely mistaken. I am tempted to say that we do not look for truth, but for knowledge. But I dislike this form of words, for two reasons. First of all, we do look for truth, however we define it, it is what we find that is knowledge. And second, what we fail to find is not truth, but certainty; the nature of truth is exactly the knowledge that we do find.
Diogenes, filthily attired, paced across the splendid carpets in Plato's dwelling. Thus, said he, do I trample on the pride of Plato. Yes, Plato replied, but only with another kind of pride.
[Aristotle] was the most eminent of all the pupils of Plato.... He seceded from Plato while he was still alive; so that they tell a story that [Plato] said, " Aristotle has kicked us off, just as chickens do their mother after they have been hatched.
The calculus was the first achievement of modern mathematics and it is difficult to overestimate its importance. I think it defines more unequivocally than anything else the inception of modern mathematics; and the system of mathematical analysis, which is its logical development, still constitutes the greatest technical advance in exact thinking.
We were discovered by Don Fury; he was the first record producer who discovered us and essentially plucked us out of the rough. But I think in another way, we were discovered when we discovered each other, right before we started high school. We were 12 and 13. I don't want to speak for Justin Beck, but that's a big moment, linking up with your foil for the first time. Glassjaw definitely changed my life in the biggest way possible.
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.
One of the chief triumphs of modern mathematics consists in having discovered what mathematics really is.
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.
God puts certain things in certain people. I'm a restless soul. I'm always searching. I'm always pressing to find what truth is and what life is all about.
A Christian boy or girl can learn mathematics, for example, from a teacher who is not a Christian; and truth is truth however learned. But while truth is truth however learned, the bearing of truth, the meaning of truth, the purpose of truth, even in the sphere of mathematics, seem entirely different to the Christian from that which they seem to the non-Christian; and that is why a truly Christian education is possible only when Christian conviction underlies not a part but all, of the curriculum of the school.
The so-called Pythagoreans, who were the first to take up mathematics, not only advanced this subject, but saturated with it, they fancied that the principles of mathematics were the principles of all things.
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