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relevance logic - Consequently.org
relevance logic - Consequently.org

SITUATIONS, TRUTH AND KNOWABILITY — A
SITUATIONS, TRUTH AND KNOWABILITY — A

... Fitch's Theorem can be avoided by denying the existence of a complete actual situation. In a given context, the actual situation is the — real or imagined — situation that we refer to. In general, there are good reasons not to suppose this situation to be complete. Fitch's theorem might be taken as ...
Contents MATH/MTHE 217 Algebraic Structures with Applications Lecture Notes
Contents MATH/MTHE 217 Algebraic Structures with Applications Lecture Notes

Tactics for Separation Logic Abstract Andrew W. Appel INRIA Rocquencourt & Princeton University
Tactics for Separation Logic Abstract Andrew W. Appel INRIA Rocquencourt & Princeton University

Notes on Writing Proofs
Notes on Writing Proofs

Suszko`s Thesis, Inferential Many-Valuedness, and the
Suszko`s Thesis, Inferential Many-Valuedness, and the

... is imposed by Malinowski [24], [25], [26], [27] and Gottwald [22], and the second condition may be used to define systems of paraconsistent logic.4 In order to provide a counterexample to Suszko's Thesis, Malinowski defined the notion of a single-conclusion quasi-consequence (^-consequence) relation ...
Introduction to first order logic for knowledge representation
Introduction to first order logic for knowledge representation

Linearizing some recursive logic programs
Linearizing some recursive logic programs

Truth-Functional Logic
Truth-Functional Logic

On Rosser sentences and proof predicates
On Rosser sentences and proof predicates

Myra VanInwegen December 2, 1997
Myra VanInwegen December 2, 1997

2 - Set Theory
2 - Set Theory

... Thus, S ∪ T is the set that contains all the elements in S as well as all the elements in T . We remember, of course, that, the “or” in this definition means that if x ∈ S and also x ∈ T , then it is also included as an element of the union S ∪ T. Notice that, since every element x ∈ S is also inclu ...
Set Theory and Logic
Set Theory and Logic

8.3 Conditional Statements and Material Implication
8.3 Conditional Statements and Material Implication

full text (.pdf)
full text (.pdf)

pdf file
pdf file

page 135 LOGIC IN WHITEHEAD`S UNIVERSAL ALGEBRA
page 135 LOGIC IN WHITEHEAD`S UNIVERSAL ALGEBRA

Formal systems of fuzzy logic and their fragments∗
Formal systems of fuzzy logic and their fragments∗

Algebraic foundations for the semantic treatment of inquisitive content
Algebraic foundations for the semantic treatment of inquisitive content

... 2005, 2010, among others). In this framework, sets of possibilities–also known as alternatives–are not primarily used to capture inquisitive content, but rather to characterize the semantic contribution of disjunction and existentials in the process of meaning composition. Even though inquisitive an ...
Constraint Logic Programming with Hereditary Harrop Formula
Constraint Logic Programming with Hereditary Harrop Formula

A Concise Introduction to Mathematical Logic
A Concise Introduction to Mathematical Logic

Default Reasoning in a Terminological Logic
Default Reasoning in a Terminological Logic

... the contrary, it requires in general a DL theorem proving operation. This may clearly be seen by taking a look at our example: the relation between the precondition of rule (1) and the precondition of rule (3) has been determined by relying on the fact that Bird(x) is derivable from P enguin(x) thro ...
Logic and Proof
Logic and Proof

... Aristotle observed that the correctness of this inference has nothing to do with the truth or falsity of the individual statements, but, rather, the general pattern: Every A is B. Every B is C. Therefore every A is C. We can substitute various properties for A, B, and C; try substituting the propert ...
notes
notes

Counterfactuals
Counterfactuals

< 1 ... 6 7 8 9 10 11 12 13 14 ... 57 >

Natural deduction

In logic and proof theory, natural deduction is a kind of proof calculus in which logical reasoning is expressed by inference rules closely related to the ""natural"" way of reasoning. This contrasts with the axiomatic systems which instead use axioms as much as possible to express the logical laws of deductive reasoning.
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