Entities should not be multiplied unnecessarily. Look up to Heaven look into the Human Heart. Till the planets and the passionsthe affections and the fixed stars are extinguishedtheir names cannot die. We could present spatially an atomic fact which contradicted the laws of physics, but not one which contradicted the laws of geometry. Tractatus Logico Philosophicus , New York, 1922.
Mathematical propositions express no thoughts.
In life it is never a mathematical proposition which we need, but we use mathematical propositions only in order to infer from propositions which do not belong to mathematics to others which equally do not belong to mathematics. There can never be surprises in logic. The riddle does not exist. If a question can be put at all, then it can also be answered. Tractatus Logico Philosophicus , New York, 1922.