Non-ecludian geometries
Section outline
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The discovery (or formulation) of non-eucludian geometries can be seen as a major turn from "truth" to "consistency". The focus started to shift from "the true description of reality" to formal systems which are useful in predicting and computing physical phenomena, while their truth started to be considered as an unrelated question. For computations, the consistency of the formal systems gained prominence.
We will read Chapter III: The discovery of non-ecludian geometry and Chapter VIII: The consistency of the non-euclidian geometries from the book Introduction to non-euclidian geometry by Harold E. Wolfe. See below.