Using Existential Graphs for Automated Theorem Proving
... • A clause is satisfied by a truth-value assignment if and only if that assignment makes at least one literal in that clause true. • A clause set is satisfiable if and only if there is a truthvalue assignment that satisfies all clauses in that clause set. • A set of sentences is inconsistent if and ...
... • A clause is satisfied by a truth-value assignment if and only if that assignment makes at least one literal in that clause true. • A clause set is satisfiable if and only if there is a truthvalue assignment that satisfies all clauses in that clause set. • A set of sentences is inconsistent if and ...
Chapter 11: Other Logical Tools Syllogisms and Quantification
... John has a U.S. manufactured car built in 1969. Therefore, John's car was not equipped with safety belts at the factory. The first argument (11-2) is valid, but the second (11-3) is invalid, committing a variation of the fallacy of denying the antecedent. However, we cannot show this symbolically us ...
... John has a U.S. manufactured car built in 1969. Therefore, John's car was not equipped with safety belts at the factory. The first argument (11-2) is valid, but the second (11-3) is invalid, committing a variation of the fallacy of denying the antecedent. However, we cannot show this symbolically us ...
Semantics in Philosophy and Computer Science
... In computer science ’pure’ semiotics are used to define artificial languages respectively programming languages. The syntax defines formal grammars that are often contextfree, to describe the set of reserved words and possible tokencombinations of a programming language. Where semantics defines a ma ...
... In computer science ’pure’ semiotics are used to define artificial languages respectively programming languages. The syntax defines formal grammars that are often contextfree, to describe the set of reserved words and possible tokencombinations of a programming language. Where semantics defines a ma ...
8 predicate logic
... can be represented as As ⊃ Ap; the proposition “Socrates is altruistic but Plato is not” can be represented as As · ~Ap, and so on. Representing quantified propositions in predicate logic requires a little more symbolic apparatus. First, we require the idea of an individual variable. We shall alloca ...
... can be represented as As ⊃ Ap; the proposition “Socrates is altruistic but Plato is not” can be represented as As · ~Ap, and so on. Representing quantified propositions in predicate logic requires a little more symbolic apparatus. First, we require the idea of an individual variable. We shall alloca ...
Speaking of the Ineffable, East and West
... not only the state of the enlightened person after death, but ultimate reality itself. And one can see why that should be ineffable. To describe it would be to deploy concepts; but ultimate reality is exactly what is left, after all concepts have been removed. At any rate, we are back with our famil ...
... not only the state of the enlightened person after death, but ultimate reality itself. And one can see why that should be ineffable. To describe it would be to deploy concepts; but ultimate reality is exactly what is left, after all concepts have been removed. At any rate, we are back with our famil ...
On Rosser sentences and proof predicates
... predicate P r as the necessity operator in some suitable modal logic, and much work on modal fixed points was done in the seventies by C. Bernardi, D. de Jongh and G. Sambin. It was proven independently by the three that modal fixed points are unique, and de Jongh and Sambin also presented proofs ...
... predicate P r as the necessity operator in some suitable modal logic, and much work on modal fixed points was done in the seventies by C. Bernardi, D. de Jongh and G. Sambin. It was proven independently by the three that modal fixed points are unique, and de Jongh and Sambin also presented proofs ...
Godel incompleteness
... George Cantor (1845-1918), a “crisis” about the foundations of mathematics has started... Mathematicians then understood that mathematics should be, just like the legal system of a country, based on some “constitution”. David Hilbert's (1862-1943) dream was indeed to create a perfect axiomatic syste ...
... George Cantor (1845-1918), a “crisis” about the foundations of mathematics has started... Mathematicians then understood that mathematics should be, just like the legal system of a country, based on some “constitution”. David Hilbert's (1862-1943) dream was indeed to create a perfect axiomatic syste ...
Slides from 10/20/14
... no corresponding idea expressed by) the English sentence being symbolized. Example: Simone is a female philosopher, but she’s not American. (Dictionary: P_: _ is a philosopher; F_: _ is female; A_: _is American; s: Simone) (Ps & Fs) & ~ As ...
... no corresponding idea expressed by) the English sentence being symbolized. Example: Simone is a female philosopher, but she’s not American. (Dictionary: P_: _ is a philosopher; F_: _ is female; A_: _is American; s: Simone) (Ps & Fs) & ~ As ...
Is the principle of contradiction a consequence of ? Jean
... To write these three equations successively in separate lines to express the fact that we go from the first to the third through the second and that all are true is a procedure which still common in contemporary books of algebra as well as the details of the fonts: italic for the variable, no italic ...
... To write these three equations successively in separate lines to express the fact that we go from the first to the third through the second and that all are true is a procedure which still common in contemporary books of algebra as well as the details of the fonts: italic for the variable, no italic ...
