Sur la Porté du Théorème Löwenheim–Skolem: on the significance of the Löwenheim–Skolem theorem Thoralf Skolem

Thoralf Skolem (1887–1963) is rightly regarded as one of the most significant figures in modern logic, and is widely seen as the founding father of model theory. His groundbreaking results (most notably the jointly eponymous Löwenheim–Skolem Theorems) have shaped mathematical logic as we know it and have initiated ongoing philosophical debate for over 100 years. In this paper, we provide the first English translation of Sur la Porté du Théorème Löwenheim–Skolem. To accompany this translation, we also provide a foreword to help situate the paper in its proper historical and philosophical context.