Hegel's Ladder, Volume 1

By H. S. Harris

"Hegel's Ladder aspires to be...a 'literal commentary' on Die Phanomenologie des Geistes ...It was once the unsleeping aim of my thirty-year fight with Hegel to write down an explanatory remark at the ebook; and with its final touch I regard my very own 'working' profession as concluded...The triumphing behavior of commentators...is based at the normal consensus of opinion that no matter what else it can be, Hegel's Phenomenology isn't the logical 'science' that he believed it was once. this is often the bought view that i need to overthrow. but when i'm correct, then an acceptably non-stop chain of argument, paragraph via paragraph, should be discoverable within the text." -- from the Preface.

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Simply what the circle of accurately philosophical cognition is like, we needs to wait to determine. however it is apparent from the fast paragraph on old truths that Hegel is easily conscious that the Dasein of a philosophical Sache has a contingent point that's not found in mathematics-at least no longer within the comparable method. So much more may be acknowledged in regards to the diverse "necessities" of arithmetic and philosophy. yet Hegel doesn't have to say any of it the following. it really is adequate, at this aspect, to have proven why mathe­ matical demonstration can't supply us with the circle of internal and outer explana­ tion that Hegelian "comprehension" calls for. Mathematical facts easily doesn't have the "inner" dimension--or what Hegel right here calls the "essential" side-to it. 15 forty three. Mathematical cognition, being exterior, needs to intrude. It builds a context during which the weather of 1 determine turn into components of others. this is often simply as a lot afo/sity ofthe content material because the disappearance of fastened techniques is in conceptual movement. Mathematical perception is what Hegel calls "external mirrored image. " every thing that occurs within the evidence of a theorem is a "falsification" of the intuitive perception into the logical constitution of the determine. arithmetic during this manner, you can actually simply start to believe-as i feel Schopenhauer did-that the improvement of proofs and the research of proof-procedures is for the sake of intuitive perception. yet Hegel doesn't carry any view of that kind, when you consider that mathematical perception is in his view a professional­ cess of cognition. The externality of the method is a method of falsity within the accurately speculative experience, as the mathematical entity is largely an item of con- 116 The P i lgri mage of cause sciousness. it really is "completely different" than the watching self, and this otherness can­ now not be transcended; in basic terms "Understanding"-that is, considering with mounted definitions-is attainable during this realm. Philosophical cognition can be a procedure that starts off logically from the adventure of the article itself. not like the mathemati­ cian, we aren't speculated to upload something, yet simply to discover. we will see the "fix­ edly intended" (festgememten) techniques of the knowledge "disappear" into the round movement of the idea that unites each with its personal contrary; and this can ensue "necessarily" in a manner that we will be able to understand, now not within the arbitrary approach during which mathematical "constructions" are came upon. forty four. the genuine disorder of mathematical technique is that the proof-procedure is bigoted. We basically see why we needed to practice simply those operations while the belief is reached. Hegel, who was once continuously being compelled to acknowledge that his viewers didn't comprehend him, loved to copy his issues in several methods. He does much less of this repetition than traditional during this Preface (because it truly is already the precis overview of a protracted and complicated argument). yet right here he repeats the purpose in regards to the externality of mathematical technique in a brand new approach, earlier than continuing to teach us how, being a sphere of mounted Gedanken, mathematical reasoning needs to sublate itself.

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