Misc

Logical Machine

A mechanical device designed to perform formal logic operations. Examples include the Stanhope Demonstrator and Jevon's logic piano, showcasing early…

2 weeks ago

Instantiation in Logic and Programming

Instantiation is the core process of replacing bound variables with specific constants. This action effectively removes quantifiers, leading to concrete…

2 weeks ago

Inference to the Best Explanation

A powerful form of abductive reasoning, inference to the best explanation guides us to accept the hypothesis that provides the…

2 weeks ago

Inference: Deriving Logical Conclusions

Inference is the process of drawing logical conclusions from established facts or premises. It's a fundamental cognitive skill used in…

2 weeks ago

Inductive Arguments: Probable Support for Conclusions

Inductive arguments offer probable support for their conclusions, unlike deductive arguments. They rely on patterns and evidence to suggest what…

2 weeks ago

Inclusive First-Order Logic Explained

Inclusive first-order logic is a flexible variant that permits empty domains, unlike standard first-order logic which mandates at least one…

2 weeks ago

Hybrid Logic

Hybrid logic enhances modal logic by allowing direct reference to specific worlds within models. This increases expressiveness, enabling more precise…

2 weeks ago

Homomorphism: Preserving Structure in Algebraic Systems

A homomorphism is a structure-preserving map between algebraic structures of the same type. It ensures that operations like addition and…

2 weeks ago

The Halting Problem

The halting problem asks if it's possible to determine if any given program will halt or run forever. Alan Turing…

2 weeks ago

Gambler’s Fallacy Explained

The gambler's fallacy is the mistaken belief that past random events influence future ones. This cognitive bias often leads to…

2 weeks ago