This question is inspired by a similar question at the beginning of Kunen's new book, "Set Theory".

Many mathematicians believe they are exploring a "real" universe. In such a Platonic point of view they consider the theorems as "real facts" about "real objects" of this "real world" not just a production of a game using meaningless symbols and formal deduction rules.

A part of mathematical Platonism is based on the success of mathematics to explain the patterns of the physical world. In fact many mathematical theories begin with investigating around simple facts about objects and puzzles of the physical world. For example, geometry begins with exploring around calculating areas and volumes of the most natural two and three dimensional objects, the origin of number theory and combinatorics is closely related to daily counting and calculating problems, analysis, calculus and differential equations are describing the nature of some physical phenomenons, many algebraic notions like groups are closely related to very familiar problems like finding symmetries of a shape, etc. Based on this fact one can expect some applications of (elementary/advanced) theorems of usual mathematical fields in physical world.e.g. Even the non-Ecluidean geometries have their own applications in physics.

But the nature of set theory seems quiet different. Set theory begins with infinite number of infinities. It seems too hard to find a correspondence between the basic objects of this particular field to objects and subjects of visible world. The situation becomes more strange when we note the fact that many set theorists believe in a Platonic perspective even much more than usual mathematicians. Based on this view they believe they are talking about "reality" but what kind of reality is set theory talking about when it has no strong connection with the physical world? The answer of this natural question unfolds the hidden aspect of set theory which I came across in these mysterious books.

Amir Aczel, *The Mystery of the Aleph: Mathematics, the Kabbalah, and the Search for Infinity*,

**Question.** Are there more references (book, paper, lecture, media) in the category of mentioned books focused on the historical and sociological researches around possible beliefs of set theorists about the spiritual nature of set theoretic reality?

isbut what itdoes. $\endgroup$ – Dirk Apr 25 '14 at 11:24"The rule of set theory on the other parts of mathematics is divine!"I think there are many isomorphic copies of such a motto amongst set theorists.Furthermore the geographic distribution of set theorists around the world shows some unnatural concentrations on some special cities which could be a sign of popularity of such a spiritual point of view amongst set theorists. $\endgroup$ – user47697 Apr 25 '14 at 11:46