Suchergebnisse
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Vor 6 Tagen · 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 · 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 3 Tagen · 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
1. Mai 2024 · Apart from its importance in understanding mathematical reasoning, logic has numerous applications in Computer Science, varying from the design of digital circuits to the construction of computer programs and verification of the correctness of programs. Propositional Logic. What is a proposition? A proposition is the basic building ...
13. Apr. 2024 · Abstract: Logic has pride of place in mathematics and its 20th century offshoot, computer science. Modern symbolic logic was developed, in part, as a way to provide a formal framework for mathematics: Frege, Peano, Whitehead and Russell, as well as Hilbert developed systems of logic to formalize mathematics. These systems were meant ...
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
22. Apr. 2024 · This course is an advanced, accelerated introduction to deductive formal logic, with some substantive coverage of inductive formal logic, in which formalisms for dealing with uncertainty (e.g., probability theory, and also the likelihood calculus) are included, and to heterogeneous formal logic (which allows reasoning over not only textual/linguistic content, but visual content as well).
