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6. Mai 2024 · Offers a rigorous and inviting introduction to logic that inspires further study in logic. Showcases connections to other areas of mathematics, including number theory, algebra, and combinatorics. Versatile and appealing to graduate students in mathematics, computer science, and philosophy. Part of the book series: Graduate Texts in Mathematics ...
Vor 6 Tagen · Formal logic, the abstract study of propositions, statements, or assertively used sentences and of deductive arguments. The discipline abstracts from the content of these elements the structures or logical forms that they embody. The logician customarily uses a symbolic notation to express such.
In propositional logic a statement (or proposition) is represented by a symbol (or letter) whose relationship with other statements is defined via a set of symbols (or connectives). The statement is described by its truth value which is either true or false .
Vor 2 Tagen · Propositional logic is a branch of mathematics that studies the logical relationships between propositions (or statements, sentences, assertions) taken as a whole, and connected via logical connectives. In this article, we have covered in detail about propositional logic and related topics.
18. Apr. 2024 · George Boole, English mathematician who helped establish modern symbolic logic and whose algebra of logic, now called Boolean algebra, is basic to the design of digital computer circuits. Boole pointed out the analogy between algebraic symbols and those that can represent logical forms and syllogisms.
- The Editors of Encyclopaedia Britannica
Vor einem Tag · Extended logics are logical systems that accept the basic principles of classical logic. They introduce additional symbols and principles to apply it to fields like metaphysics, ethics, and epistemology. Modal logic
Vor 6 Tagen · Propositional calculus. The propositional calculus [a] is a branch of logic. [1] It is also called propositional logic, [2] statement logic, [1] sentential calculus, [3] sentential logic, [1] or sometimes zeroth-order logic. [4] [5] It deals with propositions [1] (which can be true or false) [6] and relations between propositions, [7] including ...
