Abstract
In this paper, an approach to Pythagoras’ Theorem is presented within the historical context in which it was developed and from the underlying intellectual outline of the Pythagorean School. This was analyzed from a rationalism standpoint. An experiment is presented to the reader so that they, through direct observation, can analyze Pythagoras’ Theorem and its relation to the creation of knowledge. The theory of knowledge conceptualization is used.
Highlights
This paper discusses the creation of scientific knowledge and focuses primarily on the Pythagorean Theorem, which is an unquestioning development from rationalism
The main argument of this paper is that the creation of scientific knowledge has different philosophical bases such as rationalism, empiricism, apriorism and intellectualism which should coexist when the phenomenon is analyzed by the knower
It should be clarified that the aim of this experiment is not to refute the compliance of such a theorem, but to exemplify how science and, in particular, social sciences which are essentially subject to partial observation, by analyzing differences arising from various philosophical schools, that support the scientific, can hinder the synthesis of scientific laws with universal validity
Summary
This paper discusses the creation of scientific knowledge and focuses primarily on the Pythagorean Theorem, which is an unquestioning development from rationalism. Respect to empiricism and its relation with Pythagoras’ theorem, Hessen’s work warrants mentioning This indicates that Hume, who developed Locke’s empiricism, recognizes that mathematical knowledge is independent from experience and universally valid. The proof discussed below indicates that there are some points of the theorem that are difficult to understand when only the visual perception of the observer is relied upon The aim of this experiment is not to create direct knowledge, but to present that an example of the fact that the truth about a given phenomenon depends on “the eye of the beholder” which is a typical situation in human behavioral sciences.
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