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Tutorial 24: The restrictions on the quantificational rules

Logical System
12/25/13

Skill to be acquired:

To understand how the various restrictions on the quantificational rules work to exclude certain kinds of invalid inferences

Reading

Bergmann[2004] The Logic Book Section 10.1

The Tutorial

The Rule of Universal Elimination UE

If a derivation contains a line of the form

n (∀<variable>)<scope> <any justification>

then a line of the form

Help Q7, invalidity

Logical System

Quiz 7 Invalidity

10/30/06 Quiz 7 was formerly known as Quiz 4

Quiz 7 Invalidity

[This has been done in the downloadable application, but the principles apply to the applet version also.]

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Tutorial 17: The semantics of quantifiers admin Sat, 01/11/2014 - 01:50
Logical System

2013

The Tutorial

We will certainly wish to discuss the truth and falsity of formulas with quantifiers in them.

Let us start with an Interpretation

Interpretation 1

Universe= {a,b}
F={a}

Help with Introductory Semantics admin Sat, 01/11/2014 - 01:50
Topic
Logical System

Introduction to Semantics

12/25/06

Introduction to Semantics

This video illustrates use of the downloadable application (and the symbol ∧ for 'and'). But, what it depicts and explains is equally good if you happen to be using the web pages applets (or a different symbol for 'and' eg '.').

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