Some New Studies on Logic and Sets

Sahani, Suresh Kumar, Deb Narayan Mandal · Zenodo (CERN European Organization for Nuclear Research) · 2023

In this report, we have studied the concept of Logic and Set. Logic and Set, which has a brief and huge history is compressed in a short form and their various definitions as well as theorems have been mentioned by us in the report. A large number of unrealisable uses of Logic and Set can be seen in this world, among which various examples of the uses of Logic and Set are presented by us. Many Mathematicians and Scientists who have worked hard and contributed a lot in the fields of Logic and Set has inspired us. The Mathematician like George Boole, Georg Cantor, and Gottlob Frege has inspired us to present the brilliant examples of uses of Logic and Set in Mathematics. Various Scientists like Albert Einstein, Stephen Hawking and Galileo Galilee and their achievements motivated us to study their works and find out how they used Logic and Set in their works. The father of computer Charles Babbage, first programmer Lady Augusta Ada Lovelace as well as the advancement of computer made us to rethink the uses of Logic and Set in the sector of Computer as well as programming. While studying these uses of Logic and Set in different fields, a thought suddenly came in our mind that how our ancestors used and we are still using the concept of Logic and Set in our daily life. Thus all these Mathematicians, Scientists and concept of Logic and Set inspired us and helped us to complete the report.

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