Intuitionistic logic, also known as constructive logic, is a particular account of logical consequence, at variance with both classical and relevant logical consequence. One way to introduce intuitionistic logic is by means of constructions. This chapter gives an account of constructive validity by first indicating what it is to construct a statement, and then instantiating Generalised Tarski Thesis (GTT) cases with constructions: an argument is constructively valid if and only if a construction for the premises provides a construction for the conclusion. Before turning to constructions, the relationship between intuitionistic logic and intuitionism is discussed. Intuitionism maintains that constructive reasoning is required by the nature of mathematical entities themselves. The entities in question are constructions of the reasoner in intuition, and such entities have only the properties bestowed upon them by their construction.
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