Soft logic as an extension of Pascal’s work. (English) Zbl 1537.03021
Summary: 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.
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.
MSC:
| 03B52 | Fuzzy logic; logic of vagueness |
| 03E72 | Theory of fuzzy sets, etc. |
| 11B65 | Binomial coefficients; factorials; \(q\)-identities |
Keywords:
arithmetic triangle; binomial coefficient; combinatorics; Pascal; probability; soft logic; soft numbersReferences:
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