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Hegelian Idealism is most commonly referred to as Absolute Idealism. Hegel brought back Aristotle's teachings in which was stated that thought and it's object are identical in what is free from matter.

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Q: What is Hegelian Idealism?
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What are the tenets of Idealism?

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What are the similarities between ancient greek math and modern math?

Ancient greek mathematics, like the culture itself, emphasized the concept of idealism... which, philosophically, means that perfection can only really be found in the ideas in our heads... Even though 'physical reality' isn't perfect, we strive to make it as perfect as possible... The Greeks tried to accomplish this in their mathematics by trying to think of mathematical objects (such as numbers and shapes) as ideal and perfect mental objects. You can see this by the kinds of problems that the Greeks worked on... They didn't work out the problem of a 'rectangular field of wheat', but just the 'rectangle' itself... They didn't worry about what the rectangle represented in real life, but considered problems about the perfect shape of a rectangle. You could say that greek mathematics was 'abstract' meaning 'separate from the real world'. The same can be said of modern mathematics... when we work out algebraic, geometric, or really any kind of mathematical problem, we visualize it first in our heads, in a state of perfection... Then we manipulate these objects in our heads to get the answer. In essence, we think of modern mathematics as being abstract as well.

Related questions

Who are the key contributors to Hegelian idealism?

Hegelian idealism is also known as German idealism. Key contributors include Georg Wilhelm Heigl, Johann Gottlieb Fichte, and Friedrich Schelling.


What is an anti-Hegelian?

An anti-Hegelian is a person who opposes Hegelian philosophy.


How did existentialism and phenomenology develop as a response to Hegelian idealism?

Hegelian Idealism was an organic dialectic, i.e. a wholism based on the notion that the world and indeed history is created as a series of distinct logical steps, one based upon another, and that each logical step provides a synthesis of the previous steps. Hegelian dialectics involved a rejection of platonic idealism. Existentialism and Phenomenology were a dissatisfaction over this rejection of idealism as being unjustified rather than erroneous. The notion of dialectic simply stated the idealism as a logical mode, and didn't deal with the problem of the logical structure of reality as it exists, merely as it was hypothesised to exists. There is thus, a lack of connectedness with existence in Hegelian dialectics. Both Existentialism and Phenomenology were phenomenologies, though the latter was nominally 'existential phenomenology'. This differenence in the two being multifaceted, but focussed on the assertion by existentialism that existence precedes essence. Phenomenology by contrast, and as a broader notion than existentialism makes the argument that there is no quantitative distinction between object relationships, but that they spread within planes. As a historicism, Kierkegaard can be argued to be the earliest Existentialist, with Satre being its forceful advocate. The historical drive from Hegelian Idealism is then the dissatisfaction with pure or idealised forms of logic, and the argument for a phenomeno-logic, i.e. of one resting in the plane of the subject. There was simply no credibility to Hegelian dialectical reasoning as subjective to such reasoning was almost a mentalism of Hegel's plant of reality. Phenomenology and existential phenomenology offered the ability to base arguments as to reality into that reality. The mode of subjectivity was a device that connected the system of non-definable object relations into reality. Well that's my opinion, but all opinions differ. I hope that helps, Brian H.


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