Originally published in 1922, this book forms the second of a three-volume series relating to 'the whole field of logic as ordinarily understood'.William Ernest Johnson (18581931) was a renowned British logician and economist, and also a fellow of King's College, Cambridge. Originally published in 1922, this book forms the second of a three-volume series by Johnson relating to 'the whole field of logic as ordinarily understood'.William Ernest Johnson (18581931) was a renowned British logician and economist, and also a fellow of King's College, Cambridge. Originally published in 1922, this book forms the second of a three-volume series by Johnson relating to 'the whole field of logic as ordinarily understood'.William Ernest Johnson (18581931) was a renowned British logician and economist, and also a fellow of King's College, Cambridge. Originally published in 1922, this book forms the second of a three-volume series by Johnson relating to 'the whole field of logic as ordinarily understood'. The series is widely regarded as Johnson's greatest achievement, making a significant contribution to the tradition of philosophical logic. This book will be of value to anyone with an interest in Johnson's theories, philosophy and the historical development of logic.Introduction; 1. Inference in general; 2. The relations of sub-ordination and co-ordination amongst propositions of different types; 3. Symbolism and functions; 4. The categorical syllogism; 5. Functional extension of syllogism; 6. Functional deduction; 7. The different kinds of magnitude; 8. Intuitive induction; 9. Summary including geometrical induction; 10. Demonstrative induction; 11. The functional extension of demonstrative induction; Index.