TY - JOUR AU - Kürbis, Nils PY - 2020/11/30 Y2 - 2024/03/28 TI - Definite Descriptions in Intuitionist Positive Free Logic JF - Logic and Logical Philosophy JA - LLP VL - 30 IS - 2 SE - Articles DO - 10.12775/LLP.2020.024 UR - https://apcz.umk.pl/LLP/article/view/LLP.2020.024 SP - 227-358 AB - <div class="page" title="Page 1"><div class="layoutArea"><div class="column"><div><p class="Standard">This paper presents rules of inference for a binary quantifier I for the formalisation of sentences containing definite descriptions within intuitionist positive free logic. I binds one variable and forms a formula from two formulas. Ix[F,G] means ‘The F is G’. The system is shown to have desirable proof-theoretic properties: it is proved that deductions in it can be brought into normal form. The discussion is rounded up by comparisons between the approach to the formalisation of definite descriptions recommended here and the more usual approach that uses a term-forming operator ι, where ιxF means ‘the F’. </p></div></div></div></div> ER -