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Chapter I: Formal Systems and Formal Reasoning

Haskell B. Curry

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Abstract

Contents A. Definition of a Formal System B. An Example from Group Theory C. Representation and Interpretation D. Some Semiotical Concepts. The U-Language E. An Attempt at Mathematical Grammatics F. Semiotical Aspect of a Formal System. The A-Language G. Modifications of a Formal System H. The System G

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Contents A. Definition of a Formal System B. An Example from Group Theory C. Representation and Interpretation D. Some Semiotical Concepts. The U-Language E. An Attempt at Mathematical Grammatics F. Semiotical Aspect of a Formal System. The A-Language G. Modifications of a Formal System H. The System G

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Contents A. Definition of a Formal System B. An Example from Group Theory C. Representation and Interpretation D. Some Semiotical Concepts. The U-Language E. An Attempt at Mathematical Grammatics F. Semiotical Aspect of a Formal System. The A-Language G. Modifications of a Formal System H. The System G

Key concepts: Formal system, Formal language, Grammar systems theory, Formal methods, Object language, Computer science, Interpretation (philosophy), Formal verification

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