«SENTENTIAL CALCULUS»に関連する英語の本
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1
Logic, Sets, and Recursion
Robert L. Causey. the simplest of such languages is the sentential calculus. We
will examine it first. The last chapter of this book describes a much more powerful
formal language, first-order predicate calculus, which includes sentential ...
2
Logic, Semantics, Metamathematics: Papers from 1923 to 1938
I shall here prove a general theorem from the meta-sentential calculus by which
under certain assumptions only a single extension exists in the domain of the
sentential calculus. I shall show further that most of the incomplete systems of the
...
Alfred Tarski, John Corcoran,
1983
3
Introduction to Logic: and to the Methodology of Deductive ...
A thought-provoking introduction to the fundamentals and the perfect adjunct to courses in logic and the foundations of mathematics. Exercises appear throughout.
4
Logic from Russell to Church
41) In order to construct a deductive system of the sentential calculus we proceed
as follows: we set up a matrix and consider all those sentences satisfied by it.17
In [Tarski, 1930c], the matrix method is used to construct not only the classical ...
Dov M. Gabbay, John Woods,
2009
5
Rough Sets: Mathematical Foundations
To define a sequent, we introduce a new symbol of the Gentzen implication ——+
and we consider finite sequences 1", A of meaningful expressions of the
sentential calculus. A sequent is an expression of the form 1" —-> A in which I' is
the ...
6
Principles of Mathematical Logic
... 165 Combinations of sentences, logically true, 14 — simplification of, 20 -
totality of, 18 — transformation of, 12 Commutative Law of Sentential Calculus, 7
Conjunction, 7 Connectives, fundamental logical, 3 Consistency, problem of, 38,
87f, ...
David Hilbert, Wilhelm Ackermann, Robert E. Luce,
1950
7
Hegel's Idea of a Phenomenology of Spirit
people believing the logical laws of the sentential calculus, such as the law of
noncontradiction. Do these not indeed constitute exceptions to the general anti-a
priorist moral for which I have just been arguing? This is a complicated question ...
8
Logical Syntax of Language
Every sentence having one of the following forms is demonstrable in Language II
: Proof schema. PSII 16 (Oj) (~G1) D (~S1)(j ) (0 (1) M(~*)»~C%)(£) W (2),
Sentential Calculus (transposition) *(2)3~M<~«0 (3) (3), PSII1S ®1(j*)3(301)(6,) (
4) (ft) ...
9
The Continuum Companion to Philosophical Logic
Sentential Calculus The methods of abstract algebra grew so versatile that the
idea suggested itself of applying them to logic itself, so that we can carry out
logical deductions using the same techniques that we use to solve equations.
Leon Horsten, Richard Pettigrew,
2011
10
Advanced Łukasiewicz
calculus and MV-algebras
Interpretation of AFC∗-algebras in Łukasiewicz sentential calculus.Jour- nal of
Functional Analysis, 65, 15–63. 6. Mundici, D. (2009). Interpretation of De Finetti
coherence criterion in Łukasiewicz logic. Annals of Pure and Applied Logic, 161,
...
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Basics: NOT
An equally important concept in logic is the operator NOT. .... Using it and AND in sentential calculus you can derive all other operations. Which is all well and ... «ScienceBlogs, 12月 08»