text: Paul Benacerraf argued against a certain stance regarding the philosophy of this subject using an argument resting on causation.
full_question: Paul Benacerraf argued against a certain stance regarding the philosophy of this subject using an argument resting on causation. A theory of this field that grounds this subject entirely in thought is the "intuitionism" of L.E.J Brouwer. The claim that it is unlikely that scientific theories could be expressed without this field is the Quine-Putnam indispensability thesis. The Platonist view of this subject argues it is a descriptive science, and was defended by Kurt GÃ¶del. A paradox about sets that do not contain themselves inspired a work on the foundations of this field. For 10 points, name this field that Russell and Whitehead tried to establish a logical ground for in their Principia.
first_sentence: Paul Benacerraf argued against a certain stance regarding the philosophy of this subject using an argument resting on causation.
raw_answer: mathematics [or Principia Mathematica; prompt on "science"]