The Mathematical Analysis of Logic (Classic Reprint): Being an Essay Towards a Calculus of Deductive Reasoning: Being an Essay Towards a Calculus of Deductive Reasoning (Classic Reprint) - Softcover

Boole, George

 
9781440066429: The Mathematical Analysis of Logic (Classic Reprint): Being an Essay Towards a Calculus of Deductive Reasoning: Being an Essay Towards a Calculus of Deductive Reasoning (Classic Reprint)

Inhaltsangabe

A bold rethinking of logic, treating deductive reasoning as a calculable system of symbols.

In this work, logic is shown as a branch of mathematical analysis. The author argues that propositions can be expressed exactly with symbolic rules, and that their meaning comes from how the symbols combine, not any fixed interpretation of their signs. The book aims to establish a Calculus of Logic that uses general, well‑defined laws to derive conclusions, much like ordinary mathematics does with numbers.



Readers are guided through how transparent symbolism can model syllogisms, propositions, and logical inferences. The text links logic to language, showing how mental operations can be formalized, tested, and extended to broader mathematical ideas. It presents a systematic method for converting complex logical problems into equations and solving them with rigor.




  • Learn how logical propositions can be turned into exact equations and manipulated with general rules.

  • See how syllogisms fit into a broader algebra of symbols, including cases with and without a middle term.

  • Explore how the method aims to express universal conclusions, multiple premises, and hypothetical statements.

  • Understand the link between logic, language, and mathematical analysis, with an eye toward wide applications.



Ideal for readers interested in the foundations of logic, mathematical analysis, and the philosophy of reasoning.

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