There is a certain way of searching for the truth in mathematics that Plato is said first to have discovered; Theon named it analysis, and defined it as the assumption of that which is sought as if it were admitted and working through its consequences to what is admitted to be true. This is opposed to synthesis, which is the assuming what is admitted and working through its consequences to arrive at and to understand that which is sought.
Francois VieteRelated topics
arrive assumption certain mathematics seek synthesis truth way workingRelated quotes
No mockery in this world ever sounds to me so hollow as that of being told to cultivate happiness. What does such advice mean? Happiness is not a potato, to be planted in mould, and tilled with manure. Happiness is a glory shining far down upon us out of Heaven. She is a divine dew which the soul, on certain of its summer mornings, feels dropping upon it from the amaranth bloom and golden fruitage of Paradise.
Charlotte Brontë
A good deal of my research in physics has consisted in not setting out to solve some particular problem, but simply examining mathematical equations of a kind that physicists use and trying to fit them together in an interesting way, regardless of any application that the work may have. It is simply a search for pretty mathematics. It may turn out later to have an application. Then one has good luck. At age 78.
Paul Dirac
It is no surprise to me that hardly anyone tells the truth about how they feel. The smart ones keep themselves to themselves for good reason. Why would you want to tell anyone anything that's dear to you? Even when you like them and want nothing more than to be closer than close to them? It's so painful to be next to someone you feel strongly about and know you can't say the things you want to.
Henry Rollins
When I received the Nobel Prize, the only big lump sum of money I have ever seen, I had to do something with it. The easiest way to drop this hot potato was to invest it, to buy shares. I knew that World War II was coming and I was afraid that if I had shares which rise in case of war, I would wish for war. So I asked my agent to buy shares which go down in the event of war. This he did. I lost my money and saved my soul.
Albert Szent-Györgyi
By this way of Analysis we may proceed from Compounds to Ingredients, and from Motions to the Forces producing them; and in general, from Effects to their Causes, and from particular Causes to more general ones, till the Argument end in the most general. This is the Method of Analysis: and the Synthesis consists in assuming the Causes discover'd, and establish'd as Principles, and by them explaining the Phænomena proceeding from them, and proving the Explanations.
Isaac Newton