### Some articles on *heyting*:

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**Heyting**( May 9, 1898 – July 9, 1980) was a Dutch mathematician and logician ...**Heyting**gave the first formal development of intuitionistic logic in order to codify Brouwer's way of doing mathematics ... of Brouwer's name in the Brouwer–**Heyting**–Kolmogorov interpretation is largely honorific, as Brouwer was opposed in principle to the formalisation of ...**Heyting**Algebra - Quotients

... Let H be a

**Heyting**algebra, and let F ⊆ H ... If H is a

**Heyting**algebra and F is a filter on H, we define a relation ∼ on H as follows we write x ∼ y whenever x → y and y → x both belong ... There is a unique

**Heyting**algebra structure on H/F such that the canonical surjection pF H → H/F becomes a

**Heyting**algebra morphism ...

Brouwer–

... In mathematical logic, the Brouwer–

**Heyting**–Kolmogorov Interpretation... In mathematical logic, the Brouwer–

**Heyting**–Kolmogorov interpretation, or BHK interpretation, of intuitionistic logic was proposed by L ... Brouwer, Arend**Heyting**and independently by Andrey Kolmogorov ...Church's Thesis (constructive Mathematics)

... For example,

... For example,

**Heyting**arithmetic (HA) with CT as an addition axiom is able to disprove some instances of the law of the excluded middle ... However,**Heyting**arithmetic is equiconsistent with Peano arithmetic (PA) as well as with**Heyting**arithmetic plus Church's thesis ... either the law of the excluded middle or Church's thesis does not make**Heyting**arithmetic inconsistent, but adding both does ...**Heyting**Arithmetic

... In mathematical logic,

**Heyting**arithmetic (sometimes abbreviated HA) is an axiomatization of arithmetic in accordance with the philosophy of intuitionism (Troelstra 197318) ... It is named after Arend

**Heyting**, who first proposed it ...

**Heyting**arithmetic adopts the axioms of Peano arithmetic (PA), but uses intuitionistic logic as its rules of inference ...

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