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Soft Logic as an Extension of Pascal’s Work
p-Adic Numbers, Ultrametric Analysis and Applications Pub Date : 2023-07-31 , DOI: 10.1134/s207004662302005x
Moshe Klein , Oded Maimon

Abstract

Pascal was a great mathematician and scientist, who contributed to many fields in mathematics and science. When he was 19 years old, he developed the first calculator, and together with Fermat he was the founder of probability theory. He investigated the properties of a triangle of numbers, which is named today “the Pascal triangle” and developed the method of proving theorems by mathematical induction. Pascal also investigated the properties of the cycloid, and he conducted the physical experiment that proved the existence of the void. After a spiritual experience at the age of 32, Pascal left mathematics and science altogether and dedicated himself to investigating and writing about religion. This paper suggests the new language of Soft logic, which is based on the extension of the number 0 to the zero axis. We conclude by an example of the extension of the Pascal Triangle with Soft numbers. Also, we discuss the possibility to develop a new model of computation.



中文翻译:

软逻辑作为帕斯卡工作的延伸

摘要

帕斯卡是一位伟大的数学家和科学家,他在数学和科学的许多领域做出了贡献。19岁时,他研制出了第一台计算器,并与费马一起成为概率论的创始人。他研究了数字三角形(今天被称为“帕斯卡三角形”)的性质,并开发了通过数学归纳法证明定理的方法。帕斯卡还研究了摆线的性质,并进行了物理实验,证明了虚空的存在。在32岁的一次精神体验之后,帕斯卡彻底离开了数学和科学,致力于宗教的研究和写作。本文提出了一种新的软逻辑语言,它基于数字0向零轴的扩展。我们通过一个用软数扩展帕斯卡三角形的例子来结束。此外,我们还讨论了开发新计算模型的可能性。

更新日期:2023-08-01
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