In the same way as philosophy loses sight of its true object and appropriate matter, when either it passes into and merges in theology, or meddles with external politics, so also does it mar its proper form when it attempts to mimic the rigorous method of mathematics.
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Philosophy of Life, Lecture 1Friedrich Schlegel
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The secret of Hegel's dialectic lies ultimately in this alone, that it negates theology through philosophy in order then to negate philosophy through theology. Both the beginning and the end are constituted by theology; philosophy stands in the middle as the negation of the first positedness, but the negation of the negation is again theology.
Georg Wilhelm Friedrich Hegel
The secret of Hegel's dialectic lies ultimately in this alone, that it negates theology through philosophy in order then to negate philosophy through theology. Both the beginning and the end are constituted by theology; philosophy stands in the middle as the negation of the first positedness, but the negation of the negation is again theology. At first everything is overthrown, but then everything is reinstated in its old place, as in Descartes. The Hegelian philosophy is the last grand attempt to restore a lost and defunct Christianity through philosophy, and, of course, as is characteristic of the modern era, by identifying the negation of Christianity with Christianity itself.
Ludwig Andreas Feuerbach
Annihilation means, with the Buddhistical philosophy, only a dispersion of matter, in whatever form or semblance of form it may be; for everything that bears a shape was created, and thus must sooner or later perish, i.e., change that shape; therefore, as something temporary, though seeming to be permanent, it is but an illusion, Maya; for, as eternity has neither beginning nor end, the more or less prolonged duration of some particular form passes, as it were, like an instantaneous flash of lightning. Before we have the time to realize that we have seen it, it is gone and passed away for ever; hence, even our astral bodies, pure ether, are but illusions of matter, so long as they retain their terrestrial outline. The latter changes, says the Buddhist, according to the merits or demerits of the person during his lifetime, and this is metempsychosis. When the spiritual entity breaks loose for ever from every particle of matter, then only it enters upon the eternal and unchangeable Nirvana. He exists in spirit, in nothing; as a form, a shape, a semblance, he is completely annihilated, and thus will die no more, for spirit alone is no Maya, but the only REALITY in an illusionary universe of ever-passing forms.
Helena Petrovna Blavatsky
Pure mathematics consists entirely of assertions to the effect that, if such and such a proposition is true of anything, then such and such another proposition is true of that thing. It is essential not to discuss whether the first proposition is really true, and not to mention what the anything is, of which it is supposed to be true ... If our hypothesis is about anything, and not about some one or more particular things, then our deductions constitute mathematics. Thus mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true. People who have been puzzled by the beginnings of mathematics will, I hope, find comfort in this definition, and will probably agree that it is accurate.
Bertrand Russell
Necessary truth is merely the subject-matter of mathematics, not the reward we get for doing mathematics. The object of mathematics is not, and cannot be, mathematical certainty. It is not even mathematical truth, certain or otherwise. It is, and must be, mathematical explanation.
David Deutsch
Schlegel, Friedrich
Schleiermacher, Friedrich
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