Final answer:
The syntactic forms for rules of inference in modern logic are attributed to the work of philosopher Gottlob Frege. Frege aimed to remove ambiguity by translating natural language into a formal system with strict rules. This laid the foundation for methodology in modern logical analysis.
Step-by-step explanation:
The origins of the syntactic form for rules of inference in modern logic can be traced back to the work of German philosopher Gottlob Frege. Frege developed a formal, symbolic language to express the logical structure of natural language sentences, which led to the establishment of modern logic. By introducing variables and specific syntactic forms, such as modus ponens and modus tollens, he created a system where the truth of conclusions can be logically inferred from premises.
The syntactic structures for rules of inference in modern logic originate from the work of Frege, who aimed to create a formal language that represents the logical structure of natural language sentences.
Frege's innovations provided a means to eliminate ambiguity in language, thereby enhancing philosophical and mathematical analysis. This approach allows for a clear understanding of deductive inferences and a reliable process for deriving true conclusions from true premises. The key to Frege's approach lies in the translation of natural language into a formal system that abides by strict rules of syntax and reasoning, ensuring that inferences made are logically sound and valid.