1. From Bertrand Russell's logicism they sought reduction of mathematics to logic. 2. A common attitude towards the axiomatic method is logicism . 3. Frege shows that HP and suitable definitions of arithmetical notions neo-logicism . 4. Still, some logical positivists, including Carl Hempel, continued support of logicism . 5. Gottlob Frege was the founder of logicism . 6. That aim is known as logicism . 7. It borrows Russell's logicism and extends it to a computational set of ideas and knowledge. 8. Opposing the completely deductive character of logicism , intuitionism emphasizes the construction of ideas in the mind. 9. Evidence of the assertion of logicism was collected by Russell and Whitehead in their " Principia Mathematica ". 10. Kurt G�del's incompleteness theorem of 1931 had made the Carl Hempel, still argued that logicism is possible,