We discuss the differences between first-order set theory and second-order logic as a foundation for mathematics. We analyse these languages in terms of two levels of formalization. The analysis shows ...

Boolean algebra, and other forms of abstract propositional logic, are based on dealing with compound propositions made up of simple propositions joined by logical connectors like "and", "or", and ...

Robert S. Ledley, Mathematical Foundations and Computational Methods for a Digital Logic Machine, Journal of the Operations Research Society of America, Vol. 2, No. 3 (Aug., 1954), pp. 249-274 ...

Mathematics is the cornerstone of modern innovation, shaping everything from AI to finance. For students pursuing logical and analytical excellence, where they study can define their future. Based on ...

The axioms are an attempt to put arithmetic and number theory on formal, logical foundations, starting from some obvious-seeming statements such as: “For every natural number x, x = x ” and ...

World's first programmable nanoprocessor: Nanowire tiles can perform arithmetic and logical functions Date: February 9, 2011 Source: Harvard University Summary: Scientists have developed and ...