According to Plato there are absolute truths, mathematics is the key. While statements about the physical world will be relative to the individual and culture, mathematics is independent of those influences. Plato had Four Basic Points regarding mathematical applications:

4. Mathematics is thought and, therefore, it is eternal and can be known by anyone. (Today we view mathematical ideas as free creations of the human mind. They are the tools we use to map the world. Experience is the key. Although absolute certainty is not possible, we can still attain accurate knowledge and reasonable beliefs about the world.) (Nick Strobel)

In his classic volume, Republic, the mathematical sciences (arithmetic, geometry, astronomy, and harmonics) formed the foundation of Plato’s curriculum, which included Elementary, military training and higher education. When we elucidate Plato’s model of mathematical cognition and learning, we usually consider his mathematical curriculum, Plato may readily be seen as having put theory into practice on a scale unprecedented, in the history of mathematical education. (Stephen R. Campbell)

Plato’s ideas of Mathematics in life and in education seem far less extreme than those touted by Pythagoras, as can be seen by reading Plato’s Laws. Mathematics was then considered the basis from which to move into philosophical thought and as such Plato proposed that studying mathematics should occupy the student for the first ten years of his education. This, he believed provided the finest training for the mind since they were then able to understand relations that cannot be demonstrated physically. Since clear logical thinking was prized not only in philosophical discussions but also in the political arena, Plato encouraged his students to train in mathematics because he thought that it encouraged the most precise and definite kind of thinking of
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