El existencialismo es un humanismo by Jean-Paul Sartre PDF

By Jean-Paul Sartre

El existencialismo es un humanismo se ha convertido en un clasico del pensamiento occidental del siglo XX, sobre todo porque en el aparecen expuestas de una forma clara y accesible, no solo el pensamiento de Jean-Paul Sartre sino tambien las propuestas fundamentales del existencialismo. En cierto sentido, este breve texto resume las claves de toda l. a. obra sartreana posterior, pues el pensador frances se mantuvo siempre fiel a los principios basicos trazados en el. El pensamiento de Sartre se revela como un instrumento muy util para afrontar el presente.

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Xm) E R m, beside the notation FXi, FXiXi for partial derivatives, we shall use the notation FI% = DI%F, (X = «(Xl' ... ,(Xm), (Xi ~ 0 integers, k = (Xl + ... + (Xm = I(XI, for partial derivatives of order k. Below we shall require a function F to be of some class C in a closed subset D of Rm. By this we shall mean that F is defined in an open subset U of Rm containing D, and that F has continuous partial derivatives FI% of orders I(XI, 0 ~ I(XI ~ r, in U. This convention, which we use here only to simplify notation, has its motivation in the result due to Whitney [1-4] that if, for a real valued function F(x) defined on a closed set K of R m, there are functions F1%' 0 ~ I(XI ~ r, also continuous on K, such that the usual Taylor polynomials centered at any point of K approximate F (as usual), then F can be extended to a function of class C on an open neighborhood U of K so that DI%F = FI% everywhere on K.

The integral J 2[1} ; x], a quadratic form in I}, is often called the accessory integral of I[ x], and also the second variation of I[ x] at x. Remark 1. ii) holds even in a slightly more general situation. Indeed, let z(a,t) = (zl, ... ,(O,t). 2). The proof is the same with F(t, a) = fo(t, x(t) + z(a, t), x'(t) + z,(a, t». t(O, t) = rJ'(t) as a -+ O. ii). Remark 2. ii) that x' be essentially bounded can be omitted under suitable assumptions. For instance, let x(t), t1 :5"; t:5"; t 2, be a given AC n-vector function, whose graph r lies in A and let r6 = [(x, Yllt 1 :5"; t:5"; t 2, Iy - x(tll :5"; <5].

We may not repeat every time the need for the identification mentioned above (Cf. i, ii, iii)). e. e. ). This will be referred to as the DuBois-Reymond necessary condition, or the equation (Eo). 4 for a proof. For instance, for n = 1, I[ x] = Sl>(x'Z + x 2)dt, fo = x'z + x 2, and (Eo) reduces to (d/dt)(x Z - x'Z) = 0, or x 2 - X'Z = c, a costant. Here M(t) = XZ(t) - X'2(t). 7 A. (c) The AC 2n-vector function (x(t), A(t)), t E [t 1,t2], x(t) = A(t) = (Ab ... 3) dAi dt (Xl, ... ,xn), -oH ox i ' for i = 1, ...

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