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What is the proper way of thinking in philosophical terms? What is the difference between philosophy and ordinary reasoning?
Hegel: The philosophical exposition
From the Preface of Hegel's Phenomenology of Spirit, here translated by J. B. Baillie
This unaccustomed restraint imposed upon thought is for the most part the cause of the complaints concerning the unintelligibility of philosophical writings, when otherwise the individual has in him the requisite mental cultivation for understanding them. In what has been said we see the reason for the specific charge often made against them, that a good deal has to be read repeatedly before it can be understood--an accusation which is meant to convey something improper in the extreme, and one which if granted to be sound admits of no further reply. It is obvious from the above what is the state of the case here.
The philosophical proposition, being a proposition, calls up the accepted view of the usual relation of subject and predicate, and suggests the idea of the customary procedure which takes place in knowledge. Its philosophical content destroys this way of proceeding and the ordinary view taken of this process. The common view discovers that the statement is intended in another sense than it is thinking of, and this correction of its opinion compels knowledge to recur to the proposition and take it now in some other sense.
Philosophy & poetry The office of philosophical disquisition consists in just distinction; while it is the privilege of the philosopher to preserve himself constantly aware, that distinction is not division. In order to obtain adequate notions of any truth, we must intellectually separate its distinguishable parts; and this is the technical process of philosophy. But having so done, we must then restore them in our conceptions to the unity, in which they actually co-exist; and this is the result of philosophy. A poem contains the same elements as a prose composition; the difference therefore must consist in a different combination of them, in consequence of a different object proposed. ...
Coleridge, Biographia Literaria (1817), ch. 14
There is a difficulty which might well be avoided. It consists in mixing up the methods of procedure followed by speculation and ratiocination, when what is said of the subject has at one time the significance of its conceptual principle, and at another time the meaning of its predicate or accidental quality. The one mode of thinking invalidates the other; and only that philosophical exposition can manage to become plastic in character which resolutely sets aside and has nothing to do with the ordinary way of relating the parts of a proposition.
As a matter of fact, non-speculative thinking has its rights too, which are justifiable, but are disregarded in the speculative way of stating a proposition. Abolishing the form of the proposition must not take place only in an immediate manner, through the mere content of the proposition. On the contrary, we must give explicit expression to this cancelling process; it must be not only that internal restraining and confining of thought within its own substance; this turning of the conception back into itself has to be expressly brought out and stated.
This process, which constitutes what formerly had to be accomplished by proof, is the internal dialectical movement of the proposition itself. This alone is the concrete speculative element, and only the explicit expression of this is a speculative systematic exposition.
Cf. Rilke, Letter to a Young Poet | Plato, Whom are we talking to? | Kierkegaard, My work as an author | Emerson, Self-knowledge | Gibson - McRury, Discovering one's face | Emerson, We differ in art, not in wisdom | Joyce, Portrait of the Artist
