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mathematicians are described as a way of exposing arguments. The most famous is the passage of the Meno (82b-85e) where Socrates leads a slave in solving a geometry problem. Dialogue Theaetetus, about which we have spoken, there is an account of another problem which goes to show that the central character, Theaetetus, can be as good at philosophy as it is in geometry. The topic in question is an exercise with numbers that are not accurate, as 1.4142 and 1.7320 (approximate roots of 2 and 3, respectively). Today these amounts are trivial. But among the Greeks the discovery of this type of measurement caused quite perplexing. The numbers did not have exact roots were called "irrational numbers". It is also important to note that in classical Greece the concept of number has a very different sense of the notion of number in modern mathematics. For the Greeks "two" is the sum of two units or two quantities "discrete", "three" is the triple unit, etc.. Fowler, The Mathematics of Plato's Academy, The notion of "number" indicates that it is capable of having parts. This means that the unit (1) is not a number. The unit is the name given to each part of the number when it is identified to its limit, ie, when it can not be further divided. This notion is defined as that which has no parts, because if you have parties, will no longer be unity, but two, three, etc.. It is a very different conception of the everyday, which sees the numbers as abstractions and no longer makes the connection to the things they represent. Additionally, the Greek numbers represented with geometrical figures. The number three represented the figure of the triangle because with three points on a plane form a triangular figure. The number four as a square with four points form a square, and so on. If you run into philosophical works such as Descartes, Spinoza or Plato, and come across claims that reality is better understood through geometry or mathematics, consider this: before a symbol sequences whose mental and reasons are systematized in mathematics books, the numbers indicate real things in the world. So that they can look at and think clods into cubes to the water and think bubbles in the shape of circles, the leaves and think about triangles or cones. It was more or less what the Greeks did when they reasoned about mathematically nature.
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matematičari su opisane kao način izlažu argumente. Najpoznatiji je prolaz Meno (82B-85e), gdje Sokrat vodi rob u rješavanju problema geometrije. Dijalog Theaetetus, o kojima smo govorili, tu je priča o nekom drugom problemu što pokazuje da je središnji lik, Theaetetus, može biti jednako dobar na filozofiji, jer je u geometriji. Tema o kojoj je riječ je vježba s brojevima koje nisu točne, jer 1,4142 i 1,7320 (približne korijeni 2 i 3, respektivno). Danas su ti iznosi trivijalna. No, među Grcima otkriće ove vrste mjerenja izazvao dosta zbunjujući. Brojevi nisu imali točne korijeni su se zvali "iracionalni brojevi". Također je važno imati na umu da je u klasičnoj Grčkoj koncept broja ima vrlo različite osjećaj pojma broja u modernoj matematici. Za Grke "dva" je zbroj dviju jedinica ili dvije količinama "diskretne", "Tri" je trostruki jedinica, itd.. Fowler, matematici Platonove akademije, pojam "broj" ukazuje na to da je u stanju da dijelove. To znači da je uređaj (1) nije broj. Jedinica je naziv za svakog dijela broja, kada je identificiran na svoje granice, odnosno kada se ne može podijeliti. Taj pojam se definira kao ono koje nema dijelova, jer ako imate stranke, više neće biti jedinstvo, nego dva, tri, itd.. To je vrlo različito poimanje svakodnevno, koji vidi brojeve kao apstrakcija, a ne čini vezu na stvari koje oni predstavljaju. Osim toga, grčki brojevi zastupljeni s geometrijskim likovima. Broj tri predstavljeni lik trokuta jer se s tri boda na avion formirati trokutasti lik. Broj četiri kao trg s četiri boda obliku kvadrata, i tako dalje. Ako naiđete na filozofskim djelima poput Descartesa, Spinoze ili Platona, i naići na tvrdnje da stvarnost može se bolje razumjeti kroz geometrije ili matematike, razmislite o ovom: Prije nego simbol sekvenci čiji je mentalni i razlozi su sistematizirani u matematičkim knjigama, brojevi pokazuju prave stvari u svijetu. Tako da oni mogu pogledati i mislim grudama na kockice u vodu, a mislim mjehurića u obliku krugova, lišće i razmišljati o trokutima ili čunjeva. To je više ili manje ono što su Grci činili kada su zamišljeni o matematički prirodu.