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The especial genius of Woman I believe to be electrical in movement, intuitive in function, spiritual in tendency.

 

Margaret Fuller

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Ever since the French revolution there has developed a vicious, cretinizing tendency to consider a genius (apart from his work) as a human being more or less the same in every sense as other ordinary mortals. This is wrong. And if this is wrong for me, the genius of the greatest spiritual order or our day, a true modern genius, it is even more wrong when applied to those who incarnated the almost divine genius of the Renaissance, such as Raphael.

 

Salvador Dali

 

The electrical, the magnetic element in Woman has not been fairly brought out at any period. Everything might be expected from it; she has far more of it than Man. This is commonly expressed by saying that her intuitions are more rapid and more correct. You will often see men of high intellect absolutely stupid in regard to the atmospheric changes, the fine invisible links which connect the forms of life around them, while common women, if pure and modest, so that a vulgar self do not overshadow the mental eye, will seize and delineate these with unerring discrimination.
Women who combine this organization with creative genius are very commonly unhappy at present. They see too much to act in conformity with those around them, and their quick impulses seem folly to those who do not discern the motives. This is an usual effect of the apparition of genius, whether in Man or Woman, but is more frequent with regard to the latter, because a harmony, an obvious order and self-restraining decorum, is most expected from her.
Then women of genius, even more than men, are likely to be enslaved by an impassioned sensibility. The world repels them more rudely, and they are of weaker bodily frame.
Those who seem overladen with electricity frighten those around them.

 

Margaret Fuller

 

So if we are simply material, we can know nothing at all; and if we are composed of mind and matter, we cannot know perfectly things which are simple, whether spiritual or corporeal. Hence it comes that almost all philosophers have confused ideas of things, and speak of material things in spiritual terms, and of spiritual things in material terms. For they say boldly that bodies have a tendency to fall, that they seek after their centre, that they fly from destruction, that they fear the void, that they have inclinations, sympathies, antipathies, all of which attributes pertain only to mind. And in speaking of minds, they consider them as in a place, and attribute to them movement from one place to another; and these are qualities which belong only to bodies. 72

 

Blaise Pascal

 

Frances Wright, little known to the present generation, was really the spiritual helpmate and better half of the Owens, in the socialistic revival of 1826. Our impression is, not only that she was the leading woman in the communistic movement of that period, but that she had a very important agency in starting two other movements that had far greater success and are at this moment in popular favour: anti-slavery and woman's rights.

 

Frances Wright

 

The main objection to the theory of pure visualization is our thesis that the non-Euclidean axioms can be visualized just as rigorously if we adjust the concept of congruence. This thesis is based on the discovery that the normative function of visualization is not of visual but of logical origin and that the intuitive acceptance of certain axioms is based on conditions from which they follow logically, and which have previously been smuggled into the images. The axiom that the straight line is the shortest distance is highly intuitive only because we have adapted the concept of straightness to the system of Eucidean concepts. It is therefore necessary merely to change these conditions to gain a correspondingly intuitive and clear insight into different sets of axioms; this recognition strikes at the root of the intuitive priority of Euclidean geometry. Our solution of the problem is a denial of pure visualization, inasmuch as it denies to visualization a special extralogical compulsion and points out the purely logical and nonintuitive origin of the normative function. Since it asserts, however, the possibility of a visual representation of all geometries, it could be understood as an extension of pure visualization to all geometries. In that case the predicate "pure" is but an empty addition, since it denotes only the difference between experienced and imagined pictures, and we shall therefore discard the term "pure visualization." Instead we shall speak of the normative function of the thinking process, which can guide the pictorial elements of thinking into any logically permissible structure.

 

Hans Reichenbach