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Interpreting and Applying Proof Theories for Modal Logic
Interpreting and Applying Proof Theories for Modal Logic

Introduction to Modal Logic - CMU Math
Introduction to Modal Logic - CMU Math

Everything is Knowable - Computer Science Intranet
Everything is Knowable - Computer Science Intranet

arXiv:1410.5037v2 [cs.LO] 18 Jun 2016
arXiv:1410.5037v2 [cs.LO] 18 Jun 2016

On Dummett`s Pragmatist Justification Procedure
On Dummett`s Pragmatist Justification Procedure

The Foundations
The Foundations

... xn + yn = zn ---- Fermat’s last theorem 6. “Every even number > 2 is the sum of two prime numbers.” ---Goldbach’s conjecture (1742) ...
File
File

... Logic is a science of arranging knowledge in a systematical order. It mainly concern with reasoning whether they may be legal arguments or mathematical proofs or conclusion in a scientific theory based upon the set of hypotheses. It provides general rules called rules of inference that must be indep ...
Document
Document

... Foundations of Logic and Constraint Programming ...
A Nonstandard Approach to the. Logical Omniscience Problem
A Nonstandard Approach to the. Logical Omniscience Problem

A proposition is any declarative sentence (including mathematical
A proposition is any declarative sentence (including mathematical

07.1-Reasoning
07.1-Reasoning

Glivenko sequent classes in the light of structural proof theory
Glivenko sequent classes in the light of structural proof theory

The Foundations
The Foundations

On Natural Deduction in Classical First-Order Logic: Curry
On Natural Deduction in Classical First-Order Logic: Curry

CSE 20 - Lecture 14: Logic and Proof Techniques
CSE 20 - Lecture 14: Logic and Proof Techniques

The Foundations
The Foundations

... xn + yn = zn ---- Fermat’s last theorem 6. “Every even number > 2 is the sum of two prime numbers.” ---Goldbach’s conjecture (1742) ...
Suszko`s Thesis, Inferential Many-Valuedness, and the
Suszko`s Thesis, Inferential Many-Valuedness, and the

... universe of interpretation into two subsets of elements: distinguished ...
A Mathematical Introduction to Modal Logic
A Mathematical Introduction to Modal Logic

Geometric Modal Logic
Geometric Modal Logic

Proof theory for modal logic
Proof theory for modal logic

... to establish decidability and consistency results through a combinatorial analysis of derivations. This analysis is made possible by the conversion, called normalization, of a derivation to a normal form that does not contain redundant parts and that satisfies the subformula property, a basic requi ...
Strong Completeness for Iteration
Strong Completeness for Iteration

Taming method in modal logic and mosaic method in temporal logic
Taming method in modal logic and mosaic method in temporal logic

Modal Reasoning
Modal Reasoning

... M, x |= φ if and only if N , y |= φ for all modal formulas φ That is, the pointed models M, x and N , y are modally equivalent or M, x ! N , y. The proof of this result is available on pg. 29 of van Bentham’s Modal Logic for Open Minds. It’s now possible to rigorously show that some properties are u ...
Supervaluationism and Classical Logic
Supervaluationism and Classical Logic

... find this claim something too hard to swallow and take it as evidence that classical logic should be modified (at least when dealing with vague expressions). One standard way in which we might modify classical logic is by considering some extra value among truth and falsity; we then redefine logical ...
INDEX SETS FOR n-DECIDABLE STRUCTURES CATEGORICAL
INDEX SETS FOR n-DECIDABLE STRUCTURES CATEGORICAL

... infinite-dimensional vector spaces that were not computably isomorphic. In the same paper he introduced the notion of an autostable model, which is equivalent to that of a computably categorical model. Since then, the definition of computable categoricity has been standardized and relativized to arb ...
< 1 2 3 4 5 6 7 8 9 10 ... 23 >

Syllogism

A syllogism (Greek: συλλογισμός syllogismos, ""conclusion, inference"") is a kind of logical argument that applies deductive reasoning to arrive at a conclusion based on two or more propositions that are asserted or assumed to be true.In its earliest form, defined by Aristotle, from the combination of a general statement (the major premise) and a specific statement (the minor premise), a conclusion is deduced. For example, knowing that all men are mortal (major premise) and that Socrates is a man (minor premise), we may validly conclude that Socrates is mortal. Syllogistic arguments are usually represented in a three-line form (without sentence-terminating periods):All men are mortalSocrates is a manTherefore, Socrates is mortal
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