A finitary formal system uses only finite operations, proofs, and expressions. It relies on objects constructible in a finite number…
The fallacy of composition incorrectly assumes that properties of individual parts apply to the entire whole. This logical error leads…
Extensional logic focuses on the actual sets of things terms refer to, rather than their meanings. Truth depends only on…
An enthymeme is a rhetorical argument where a premise is deliberately left unstated. It relies on the audience's shared beliefs…
The division fallacy occurs when one incorrectly assumes that what is true for the whole must also be true for…
Dilution in logic weakens a statement by adding disjunctive clauses. These additions don't change the original statement's truth value, making…
A deductive argument aims for conclusive proof where the conclusion is guaranteed if the premises are true. It's a cornerstone…
Contradictory statements cannot both be true or both be false. They represent opposing propositions where one negates the other, forming…
Constructive logic emphasizes explicit proofs of existence, demanding a concrete construction rather than indirect reasoning. It's a foundational approach in…
Composition is the art of merging simple elements into a sophisticated whole. It applies to various fields, from art and…