Introduction to Symbolic Logic and its Applications by Rudolf Carnap

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A clear, comprehensive & rigorous treatment develops the subject from elementary concepts to the construction & analysis of relatively complex logical languages. It then considers the application of symbolic logic to the clarification & axiomatization of theories in mathematics, physics & biology. Hundreds of problems, examples & exercises.

Dover, 1958.
ISBN: 9780486604534. 241 pp.
Later printing.
Translated by John Wilkinson and William H. Meyer.
Softcover. Very good.