Table of contents : Cover Title Page Copyright Page A NOTE ON THE MATHEMATICAL APPROACH Table of Contents 1 The form 2 Forms taken out of the form 3 The conception of calculation 4 The primary arithmetic 5 A calculus taken out of the calculus 6 The primary algebra 7 Theorems of the second order 8 Re-uniting the two orders 9 Completeness 10 Independence 11 Equations of the second degree 12 Re-entry into the form Notes Appendix 1 PROOFS OF SHEFFERS POSTULATES Appendix 2 THE CALCULUS INTERPRETED FOR LOGIC INDEX OF REFERENCES