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... one is a notorious liar one is a pokerface, sometimes liar sometimes honest They make the following statements: A says: "I love mathematics." B says: "C always tells the truth." C says: "A hates math." Who is most likely the honest one? ...
Propositional Logic
Propositional Logic

... contained. Also, logical reasoning methods are designed to work no matter what meanings or values are assigned to the logical “variables” used in sentences. Although the values assigned to variables are not crucial in the sense just described, in talking about logic itself, it is sometimes useful t ...
Lecture Notes 3
Lecture Notes 3

Propositional Logic
Propositional Logic

ws2 - Seeing this instead of the website you expected?
ws2 - Seeing this instead of the website you expected?

• Use mathematical deduction to derive new knowledge. • Predicate
• Use mathematical deduction to derive new knowledge. • Predicate

Game Theory: Logic, Set and Summation Notation
Game Theory: Logic, Set and Summation Notation

... such as p and take the brackets around p as implicit. Then, find instances where two statements are joined by ∧ or ∨ and take the brackets around them as implicit. Thus, by this ...
Chapter 1 - National Taiwan University
Chapter 1 - National Taiwan University

Chapter 7
Chapter 7

Essay 54 Subject no. III The thesis stated in the quotation from
Essay 54 Subject no. III The thesis stated in the quotation from

... correct in the theory of names, it is improper in the theory of prepositions and even obviously false when it comes to scientific theories. Hence, the thesis I want to put under discussion is as follows: not only meaning, but also a sense of a sentence, is a true- (or false-) maker of logically corr ...
MATH 103: Contemporary Mathematics Logic Study Guide
MATH 103: Contemporary Mathematics Logic Study Guide

... 2. Review the symbolic notation for negations and compound statements (examples on pages 19-20). You should now know the meaning of the symbols ¬, ∨, ∧, → 3. If a statement is true, then its negation is 4. Review truth values and truth tables. Study the truth tables for p ∨ q, p ∧ q, p → q. You will ...
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i Preface

... says of itself that it is not provable by the system. Now suppose that we accept that the system in question is absolutely reliable: everything it recognizes as certainly true is, in fact, true. Then we will endorse the inference from the fact that a sentence is provable by the system, or recognized ...
Semantics of PL
Semantics of PL

p q
p q

... A proposition or statement (陳述) is a declarative sentence that may be assigned a ‘true’ or ‘false’ value, but not both. This value is the truth value of the proposition. Propositions: “1+2=3”, “Peter is a programmer”, “It is snowing”. Not Propositions: “Is 1+2=3?”, “What a beautiful evening!”, “The ...
Homework 8 and Sample Test
Homework 8 and Sample Test

ppt
ppt

Seeing causes and hearing gestures
Seeing causes and hearing gestures

... to translate any sentences of FOL involving ‘F’ and ‘a’ into English. ...
EECS 203-1 – Winter 2002 Definitions review sheet
EECS 203-1 – Winter 2002 Definitions review sheet

... • Definitions of tautology, contradictory formula, satisfiable formula, for PROPOSITIONAL calculus: A propositional expression is a tautology if it is true for all possible assignments of truth values to its variables. A contradictory expression is false for all assignments of truth values to its va ...
Occasion-Sensitivity
Occasion-Sensitivity

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Slides

Basic Logic - Progetto e
Basic Logic - Progetto e

... to   express   the   quantification   that   all   the   individuals   are   involved,   we   have   that   the   original   assertion  in  English  language  can  be  initially  interpreted  as  “for  any  x,  Dx  entails  Sx”,  and  the ...
Symbols of Logic
Symbols of Logic

ch1_Logic_and_proofs
ch1_Logic_and_proofs

Propositional/First
Propositional/First

Discrete Structure
Discrete Structure

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Truth-bearer

A truth-bearer is an entity that is said to be either true or false and nothing else. The thesis that some things are true while others are false has led to different theories about the nature of these entities. Since there is divergence of opinion on the matter, the term truth-bearer is used to be neutral among the various theories. Truth-bearer candidates include propositions, sentences, sentence-tokens, statements, concepts, beliefs, thoughts, intuitions, utterances, and judgements but different authors exclude one or more of these, deny their existence, argue that they are true only in a derivative sense, assert or assume that the terms are synonymous,or seek to avoid addressing their distinction or do not clarify it.
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