How did modern thinkers connect logic with mechanical devices and improved reasoning?

Modern thinkers sought to improve human reasoning by moving away from traditional scholastic methods toward systematic, symbolic approaches that could be performed algorithmically or by mechanical devices.12

The Calculus of Reason

A central goal for thinkers like Gottfried Wilhelm Leibniz was the development of a calculus ratiocinator, or a "calculus of reason." Leibniz envisioned a system where logical symbols could be manipulated according to established rules, allowing for the discovery of new truths or the verification of deductions. He proposed that such derivations could be performed mechanically, effectively removing the potential for human error and limitations in ingenuity.1

Mechanical Implementation

This vision of logic as a mechanical process was pursued by several 19th-century figures, including Charles Babbage, William Stanley Jevons, and Charles Sanders Peirce. Their work laid the foundation for modern computers, which successfully automate logical inference. George Boole further advanced this by allying logic with mathematics rather than philosophy. His Boolean algebra provided the essential framework for the design and operation of digital computer circuits, enabling machines to process logical elements using binary digits.13