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Correct and accurate conclusions may be arrived at if we carefully observe the relation of the spheres of concepts, and only conclude that one sphere is contained in a third sphere, when we have clearly seen that this first sphere is contained in a second, which in its turn is contained in the third. On the other hand, the art of sophistry lies in casting only a superficial glance at the relations of the spheres of the concepts, and then manipulating these relations to suit our purposes, generally in the following way: — When the sphere of an observed concept lies partly within that of another concept, and partly within a third altogether different sphere, we treat it as if it lay entirely within the one or the other, as may suit our purpose.
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Vol. I, Ch. 10, as translated by R. B. Haldane

 

Arthur Schopenhauer

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The bourgeois public sphere may be conceived above all as the sphere of private people come together as a public; they soon claimed the public sphere regulated from above against the public authorities themselves, to engage them in a debate over the general rules governing relations in the basically privatized but publicly relevant sphere of commodity exchange and social labor.

 

Jurgen Habermas‎

 

There are three existence-spheres: the esthetic, the ethical, the religious. The metaphysical is abstraction, and there is no human being who exists metaphysically. The metaphysical, the ontological, is, but it does not exist, for when it exists it does so in the esthetic in the ethical, in the religious, and when it is, it is the abstraction from or a something prior to the esthetic, the ethical, the religious. The esthetic sphere is only a transition sphere, and therefore its highest expression is repentance as a negative action. The esthetic sphere is the sphere of immediacy, the ethical the sphere of requirement (and this requirement is so infinite that the individual always goes bankrupt), the religious the sphere of fulfillment, but, please note, not a fulfillment such as when one fills an alms box or a sack with gold, for repentance has specifically created a boundless space, and as a consequence the religious contradiction: simultaneously to be out on 70,000 fathoms of water and yet be joyful. Just as the ethical sphere is a passageway-which one nevertheless does not pass through once and for all-just as repentance is its expression, so repentance is the most dialectical. No wonder, then, that one fear it, for if one gives it a finger it takes the whole hand. Just as Jehovah in the Old Testament visits the iniquities of the fathers upon the children unto the latest generations, so repentance goes backward, continually presupposing the object of its investigation. In repentance there is the impulse of the motion, and therefore everything is reversed. This impulse signifies precisely the difference between the esthetic and the religious as the difference between the external and the internal.

 

Soren Aabye Kierkegaard

 

...the stereographic projection of the spherical surface. From the north pole P we draw radial lines to project every point of the surface of the sphere upon the horizontal plane [below, perpendicular to a line joining it to P and the sphere's center]. In general this transformation is unique and continuous , although the metrical relations are distorted; for the point P, however, it shows a singularity. Point P is mapped upon the infinite; i.e., no finitely located point of the plane corresponds to it. It can be shown that every transformation possesses a singularity in at least one point. The surface of the sphere is therefore called topologically different from the plane. Only a "sphere without a north pole" [point] would be topologically equivalent to a plane. ...such a sphere has a point-shaped hole without a boundary and is no longer a closed surface.

 

Hans Reichenbach

 

The earth is the sphere, the measure of all; round it describe a dodecahedron; the sphere including this will be Mars. Round Mars describe a tetrahedron; the sphere including this will be Jupiter. Describe a cube round Jupiter; the sphere including this will be Saturn. Now, inscribe in the earth an icosahedron, the sphere inscribed in it will be Venus: inscribe an octahedron in Venus: the circle inscribed in it will be Mercury.

 

Johannes Kepler

 

We are tired of having a 'sphere' doled out to us, and of being told that anything outside that sphere is 'unwomanly'. We want to be natural just for a change … we must be ourselves at all risks.

 

Kate Sheppard