Whereas in Arithmetick Questions are only resolv'd by proceeding from given Quantities to the Quantities sought, Algebra proceeds in a retrograde Order, from the Quantities sought as if they were given, to the Quantities given as if they were sought, to the End that we may some Way or other come to a Conclusion or Æquation, from which one may bring out the Quantity sought. And after this Way the most difficult problems are resolv'd, the Resolutions whereof would be sought in vain from only common Arithmetick. Yet Arithmetick in all its Operations is so subservient to Algebra, as that they seem both but to make one perfect Science of Computing; and therefore I will explain them both together.
Isaac NewtonRelated topics
algebra common computing end given order perfect proceeding retrograde science seek vain way yet questions operationsRelated quotes
Do not let us imagine that discoveries in the world of the higher mathematics, of physics or biology are going to remove or even reduce our difficulties on the moral plane...The realm of morals is a world neither of quantity nor of chemical action. It is a world of values. It is precisely these values of right and wrong, of good and evil, of honesty and courage, which matter supremely for religion and national life...I am not despising science. I am only suggesting that moral values, eternal in their quality, transient in their form and application, are the foundation of a country's greatness. If moral values flourish in our common life all will be well with the nation.
Stanley Baldwin
Our questions and answers are in part determined by the historical tradition in which we find ourselves. We apprehend truth from our own source within the historical tradition.
The content of our truth depends upon our appropriating the historical foundation. Our own power of generation lies in the rebirth of what has been handed down to us. If we do not wish to slip back, nothing must be forgotten; but if philosophising is to be genuine our thoughts must arise from our own source. Hence all appropriation of tradition proceeds from the intentness of our own life. The more determinedly I exist, as myself, within the conditions of the time, the more clearly I shall hear the language of the past, the nearer I shall feel the glow of its life.
Karl Jaspers
We live together, we act on, and react to, one another; but always and in all circumstances we are by ourselves. The martyrs go hand in hand into the arena; they are crucified alone. Embraced, the lovers desperately try to fuse their insulated ecstasies into a single self-transcendence; in vain. By its very nature every embodied spirit is doomed to suffer and enjoy in solitude. Sensations, feelings, insights, fancies - all these are private and, except through symbols and at second hand, incommunicable. We can pool information about experiences, but never the experiences themselves. From family to nation, every human group is a society of island universes.
Aldous Huxley
The best educators are the ones that inspire their students. That inspiration comes from a passion that teachers have for the subject they're teaching. Most commonly, that person spent their lives studying that subject, and they bring an infectious enthusiasm to the audience. I think many people have that enthusiasm, but they are prevented from being teachers because they didn't go through the teacher mill. Now you have teachers who have been through the teacher mill, yet they have no capacity to inspire anyone at all. It's the inspired student that continues to learn on their own. That's what separates the real achievers in the world from those who pedal along, finishing assignments.
Neil deGrasse Tyson
I think we've been through a period where too many people have been given to understand that if they have a problem, it's the government's job to cope with it. 'I have a problem, I'll get a grant.' 'I'm homeless, the government must house me.' They're casting their problem on society. And, you know, there is no such thing as society. There are individual men and women, and there are families. And no government can do anything except through people, and people must look to themselves first. It's our duty to look after ourselves and then, also to look after our neighbour. People have got the entitlements too much in mind, without the obligations. There's no such thing as entitlement, unless someone has first met an obligation.
Margaret Thatcher