# semantics

## Fast Start on Web Page presentations (for Instructors)

Topic

10/15/14  under construction

[Deriver works in the form either of javascript widgets, which appear directly in a web page viewed through a web browser, or as a downloadable java application, which runs like any other application (usually off the desktop on your computer).]

With the widgets in web pages, it should be fairly clear what the possibilities are. The downloaded application offers more, but at the cost of being more complex.)

## Tutorial 23: The semantics of relations

Topic
Logical System

### The Tutorial

The semantics of relations proceeds in much the way one would expect-- the new item that has to be taken account of is the order of the terms (because, for example, Tab is not at all the same thing as Tba -- Arthur being taller than Beryl is not the same as Beryl being taller than Arthur).

Interpretation 1

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

## Help with the semantics of free variables

Topic

12/25/06

### Introduction to Free Variables

This video illustrates use of the downloadable application (and the symbol ∧ for 'and' and (∀x) for the universal quantifier, some systems use (x) for this). But, what the film depicts and explains is equally good if you happen to be using the web pages applets (or different symbols for 'and' and the universal quantifier).

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## Tutorial 17: The semantics of quantifiers

Topic
Logical System

2013

### The Tutorial

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

Interpretation 1

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

## Tutorial 14: Some Terminology for the Semantics of Predicate Logic

Topic
Logical System

### The Tutorial

A few concepts are needed give a simple portrayal of the truth and falsity of predicate logic formulas.

There is the notion of an Interpretation which consists of a Universe together with an account of how the various symbols in the predicate logic formulas apply in this Universe.

There should be a Universe, which is the collection of the objects that the formulas is about. We write, for example,

Universe = {a,b,c}

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 '.').

Your browser does not support html5 video.

## Predicate Logic: 15 Tutorials

Topic
Logical System

There are many valid arguments which cannot be shown to be valid using sentential logic alone. For example,

Beryl is a philosopher.
All philosophers are wise.
Therefore
Beryl is wise.

## Help with First Three Propositional Games, if you need it

Topic
Logical System

5/15/12

### Propositional Main Connective

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### Propositional Truth Table Line

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## Help with Tutorial 3, if you need it

Topic
Logical System

8/29/06

### Tutorial 3 The Main Connective Applet

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## Tutorial 3: Sentences and Truth

Topic
Logical System

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6/8/07 10Software

### Skills to be acquired in this tutorial:

To learn how compound sentences are true or false depending on the truth or falsity of their component sentences.