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Shiavault - a Vault of Shia Islamic Books An Aesthetic Representation of Alfred North Whitehead's Philosophy of Mathematics Education FOOTNOTES [^1] A. N. Whitehead believes education should achieve automaticity so that the mind is free to study higher-level problems (Ocken, 2007). He disagreed with the idea that people must always think about what they are doing.

He believed thought is useful only at decisive moments (Whitehead, 1911), and it should come with a decisive consciousness, which results from concentration and elimination of the irrelevant (Whitehead, 1938d). [^2] The book, with no numbers and no practical problems, is a reference to Alfred Whitehead’s unsuccessful effort with Bernard Russell to reduce mathematics to logic in Principia Mathematica (1910).

Despite all their effort to put certainty back into the foundations of mathematics, the book was a failure in creating a closed system of truth. Nevertheless, it turned out to be an open-ended starting point for Alfred N. Whitehead (Ernest, 2000), as well as for Ali. However, Ali was the one who discovered that the symbols were changing themselves, as they were causing a change in his brother’s mind.

The brother was unaware of that change, and for him the book was only a source to understand the static matter-of-fact world around him. [^3] Both real numbers and natural numbers are infinitely large, as well as the daisies and the real numbers in the number plane. Cantor showed that the real numbers’ infinity is larger than the infinity of natural numbers. Interested readers may want to read Dauben (1979) who opposed that actual infinity is an expression of any sort of reality. [^4] A. N.

Whitehead’s process philosophy considers life as an organic entity. The reality (and learning) is beauty-centered and holistic (Ernest, 2000). At this point, Ali sees the world as composed of disconnected bodies that are in constant competition with each other. [^5] Rabbit’s inability to talk explains why A.N. Whitehead thinks failure of language is the great problem of philosophy in the finite world (1938c).

This relates to our inability to express concepts of the infinite world (where important things come from) by using the tools of the finite world (language). Secondly, the rabbit’s inability to talk metaphorically represents how A.N.