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1 Deductive Reasoning and Logical Connectives
1 Deductive Reasoning and Logical Connectives

... Example 7 Write negations for each of the following statements: • John is 6 feet tall and he weighs at least 200 pounds. • The bus was late or Tom’s watch was slow. • x ≮ 2 where x is a real number. • Jim is tall and Jim is thin. Note: For the last example, “Jim is tall and Jim is thin” can be writt ...
A mathematical sentence is a sentence that states a fact or contains
A mathematical sentence is a sentence that states a fact or contains

... a) Using s and c and proper logic connectives, express each of the following sentences in symbolic form. If Simon takes chorus, then he cannot take Spanish. If Simon takes Spanish then he cannot take chorus. b) Prove that the two statements are logically equivalent, or give a reason why they are not ...
Logic
Logic

Ways Things Can`t Be
Ways Things Can`t Be

Quining Naturalism
Quining Naturalism

MATH 311W Wksht 1 • A logical statement is a phrase that is
MATH 311W Wksht 1 • A logical statement is a phrase that is

Chapter One {Word doc}
Chapter One {Word doc}

... It is important to realize that one of the difficulties in translating back and forth from English (or any other natural language) to symbolic logic comes from the fact that some expressions are used in more than one way, logically speaking. In addition it is difficult to disambiguate because closel ...
Logic - United States Naval Academy
Logic - United States Naval Academy

Truth, Conservativeness and Provability
Truth, Conservativeness and Provability

... → ϕ’), which is obviously stronger then S itself. On Tennant’s view this however should not be treated as a shortcoming of the proposed solution. On the contrary—the aim here is to present a realistic description of how the deflationist could arrive at stronger theories without burdening himself wit ...
Exercise
Exercise

... P(x) it is not enough to show that P(a) is true for one or some a’s. 2. To show that a statement of the form x P(x) is FALSE, it is enough to show that P(a) is false for one a ...
Variations on a Montagovian Theme
Variations on a Montagovian Theme

Overview - Course Materials
Overview - Course Materials

term 1 - Teaching-WIKI
term 1 - Teaching-WIKI

The Omnitude Determiner and Emplacement for the Square of
The Omnitude Determiner and Emplacement for the Square of

Propositional logic - Computing Science
Propositional logic - Computing Science

Curry`s paradox, Lukasiewicz, and Field
Curry`s paradox, Lukasiewicz, and Field

(draft)
(draft)

Chapter 2 Propositional Logic
Chapter 2 Propositional Logic

... • Example: ‘Bob pays taxes only if his income ≥ $1000’ ≜ ‘if Bob’s income < $1000 then he does not pay taxes’ ≡ ‘if Bob pays tax then his income ≥ $1000’ ...
Chapter 0. Introduction to the Mathematical Method
Chapter 0. Introduction to the Mathematical Method

Predicate Logic
Predicate Logic

Relational Predicate Logic
Relational Predicate Logic

Lesson 2
Lesson 2

... • Hence if we prove that the conclusion logically follows from the assumptions, then by virtue of it we do not prove that the conclusion is true • It is true, provided the premises are true • The argument the premises of which are true is called sound. • Truthfulness or Falseness of premises can be ...
Basics in Mathematical Logic 1 Assertions
Basics in Mathematical Logic 1 Assertions

Logic Review
Logic Review

... and you didn’t come to class on time.” When is this statement false? When either you did your homework or you came to class on time. ...
INTERMEDIATE LOGIC – Glossary of key terms
INTERMEDIATE LOGIC – Glossary of key terms

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Analytic–synthetic distinction

The analytic–synthetic distinction (also called the analytic–synthetic dichotomy) is a conceptual distinction, used primarily in philosophy to distinguish propositions (in particular, statements that are affirmative subject–predicate judgments) into two types: analytic propositions and synthetic propositions. Analytic propositions are true by virtue of their meaning, while synthetic propositions are true by how their meaning relates to the world. However, philosophers have used the terms in very different ways. Furthermore, philosophers have debated whether there is a legitimate distinction.
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