The Boiling Circle: Limitations of the Infinity Symbol and a New Suggestion

Document Type : Research Paper

Author

Associate Professor, Department of Islamic Philosophy, University of Tabriz, Tabriz, Iran

Abstract

The concept of infinity has consistently drawn the attention of mathematicians, scientists, and philosophers throughout history. This simple yet powerful representation has influenced our understanding of boundlessness and endlessness for centuries. However, as our knowledge of existence, humans, and the universe expands, and by entering the realm of diverse and different intellectual civilizations, it seems necessary to consider a fresh perspective on how we visualize and conceptualize infinity. This article delves into a transformative recommendation for the reimagining of the infinity symbol, aiming to reflect better our current understanding of existence and cosmic structures and mathematical-philosophical concepts. Although the symbol of infinity is synonymous with boundlessness, it is constrained within its bounds and limitations. In this article, we'll investigate the current symbol of infinity and its limitations. We'll then introduce a new perspective on the infinity symbol and propose an innovative symbol: the boiling circle. This article will also dive into the potential impact of this new symbol on philosophy, mathematics, and science. By the end, readers will gain insights into how a simple change in symbolism could lead to new ways to think about and explore the concept of infinity, potentially opening doors to fresh discoveries and understandings in various fields of study.

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Quran
Aristotle. (1930). Physica (R. P. Hardie & R. K. Gaye, Trans.). In W. D. Ross (Ed.), The works of Aristotle (Vol. 2). Clarendon Press. (Original work published ca. 350 B.C.E.)
Babaei, A. (2019). Trilogies of the world of knowledge. University of Mohaghegh Ardabili Press.
Babaei, A. (2021). The boiling circle, the rotating circle: Two kinds of symbols of the circle in Islamic tradition. Wisdom, 18(2), 45–59. https://wisdomperiodical.com/index.php/wisdom/article/view/484
Barrow, J. D. (2008). Infinity: Where God divides by zero. In Cosmic imagery: Key images in the history of science. W. W. Norton & Company.
Eckhart, M. (2009). The essential Meister Eckhart (C. Spear & I. M. Robson, Trans.). HarperCollins.
Geisler, N. L., & Corduan, W. (2003). Philosophy of religion (2nd ed.). Wipf and Stock Publishers.
Gowers, T., Barrow-Green, J., & Leader, I. (Eds.). (2008). The Princeton companion to mathematics. Princeton University Press.
Heeffer, A. (2011). Historical objections against the number line. Science & Education, 20(9), 863–880.
Ibn ʿArabī, M. (1999). Collection of the letters of Ibn ʿArabī (Vols. 1–3). Dar al-Mahja al-Bayda'.
Katz, V. J. (1998). A history of mathematics: An introduction. Addison Wesley Longman.
Kline, M. (1972). Mathematical thought from ancient to modern times. Oxford University Press.
Martínez, A. (2006). Negative math: How mathematical rules can be positively bent. Princeton University Press.
Maurer, A. A. (1960). History of medieval philosophy. Random House.
Núñez, R. (2017). How much mathematics is "hardwired," if any at all: Biological evolution, development, and the essential role of culture. In Culture and developmental systems. John Wiley & Sons.
O'Flaherty, W. D. (1986). Dreams, illusion, and other realities. University of Chicago Press.
Pierre, S. (1988). Projective geometry. Springer.
Rucker, R. (1982). Infinity and the mind: The science and philosophy of the infinite. Birkhäuser.
Russell, B. (1996). The principles of mathematics. W. W. Norton.
Scott, J. F. (1981). The mathematical work of John Wallis. American Mathematical Society.
Shabestari, M. (2003). Golshan-e Raz (Vol. 1). Kerman Cultural Services Publications.
Stewart, I. (2017). Infinity: A very short introduction. Oxford University Press.
Whitworth, W. A. (1866). Trilinear coordinates and other methods of modern analytical geometry of two dimensions: An elementary treatise. Cornell University Press.
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