Hegel's counter proof of the old Logic

Question

In his book on Logic,Hegel makes a counter proof of the old way of defining Logic. I have trouble understanding in which way Aristotle or Descartes were wrong according to him. Could someone explain? Thanks edit: It is previously said that Aristotle bounds logic and metaphysics together,then a little a passage from the book:"

After having considered the middle term as a specy and his quantitative relationships with the extremes,he considers the proposition from the point of view of the cause and the essence,posing the essence as the middle term or the absolute principle of the proof.

It seems there is a contradiction because Aristotle only studies the quantities and not the qualities of the objects so not the essence.

I edited my question. And I must say I would also be in interesting in the consideration of genus,specy and middle term in Hegel's Logic because those concepts are to me pretty obscure. — maths_mz, Nov 12 '20 at 08:20
Having said that, is it Hegel?s Science of Logic ? What page ? — Mauro ALLEGRANZA, Nov 12 '20 at 08:24
Hegel treat syllogism in Ch.3 of Science of Logic. I'm not an expert of Hegel and I assume that its treatment is "convoluted"... but I do not think that he does not understand the "formal" machinery of syllogism. — Mauro ALLEGRANZA, Nov 12 '20 at 08:35
It's in the first traduction in French of Hegel's Logic first volume. It seems it was made in 1859. I don't know if you can read French and I can't find an equivalent in English. — maths_mz, Nov 12 '20 at 08:36
Do you know the basic structure of Syllogism: terms, premises, major and minor, etc ? — Mauro ALLEGRANZA, Nov 12 '20 at 08:36
Not all the aspects indeed. I've juste started in Logic but maybe Hegel is not the best choice to begin with it. — maths_mz, Nov 12 '20 at 08:37
If you are interested into Hegel’s Dialectics, it is (maybe) the right place; if you are interested into Formal Logic, definitely not (and neither Descartes): Aristotle is much better. — Mauro ALLEGRANZA, Nov 12 '20 at 10:52
@maths_mz If you really want to understand logic, the most effective way is to start with Aristotle, Prior Analytics. Once you are certain to understand Aristotle's syllogistic, you can move on to contemporary authors, those who understand something about logic, Tarski in particular. — Speakpigeon, Nov 12 '20 at 17:12

Hegel's counter proof of the old Logic

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