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Trip like I do
The magnificant structure and loft staircase of Euclidian geometry.... it sets out from certain conceptions such as plane, point, and straight line, with which we are able to associate more or less definate ideas, and from certain simple axioms, we accept as being absolute/true.

Einstein.... the ultimate in post-modernity.
Trip like I do
Euclidian geometry deals with things called straight lines.

.... geometry, however, is not concerned with the relation of the ideas involved in it to objects of subjective experience, but only with the logical objective conection of these ideas among themselves.
lucid_dream
QUOTE(Trip like I do @ Dec 28, 2006, 10:38 AM) *
Einstein.... the ultimate in post-modernity.


or the ultimate Classicist in the sense that he returned to geometry, albeit with a non-euclidean twist.


Culture
QUOTE(Trip like I do @ Dec 28, 2006, 10:38 AM) *

The magnificant structure and loft staircase of Euclidian geometry.... it sets out from certain conceptions such as plane, point, and straight line, with which we are able to associate more or less definate ideas, and from certain simple axioms, we accept as being absolute/true.

Einstein.... the ultimate in post-modernity.


A nice post! I still wonder whether members here are even aware of the magnitude of this. I studied
synthetic Euclidean geometry (did not enjoy it). At the end of the day Euclidean geometry is pretty 'unthinkable'.

All the theorems were the same and it still had triangles and parallelograms and so on, but they were just defined abstractly, and there were no diagrams - it was all done axiomatically.

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