bergmann

Tutorial 7: Conditional Proof

Logical System

2013

Skills to be acquired:

Learning conditional proof.

Reading

Bergmann[2008] The Logic Book Section 5.1 and 5.4

The Tutorial:

The five remaining sentential rules of inference are slightly more difficult than the ones that we have met before. They are slightly more difficult in that they require you to make new assumptions, and the correct new assumptions at that. However they follow a similar pattern to each other so mastery of one should lead to mastery of the others.

Tutorial 6: What is a derivation and what does it prove? How experts do derivations.

Topic
Logical System
1/8/20

Skills to be acquired in this tutorial:

a) Understanding the nature of derivation. b) Learning elementary Tactics.

Why this is useful:

Tactics will help you to do derivations.

Reading

Bergmann[2008] The Logic Book Section 5.1 and 5.4.

The Tutorial:

a)

A derivation or proof consists of a finite list of lines.

Tutorial 5: Valid arguments, searching for a proof

Logical System

Tutorial 5. Valid arguments, searching for a proof.

2013

Skills to be acquired in this tutorial:

Proving an argument to be valid by displaying a derivation. Simple propositional derivations using some of the Rules of Inference.

Reading

Bergmann[2004] The Logic Book Section 5.1.

The Tutorial:

If you suspect that an symbolized argument might be valid, you should attempt to give a derivation of it.

A derivation is a proof of validity.

Tutorial 4: Arguments and searching for a counter example

Logical System

9/16/12

Skills to be acquired in this tutorial:

To learn how to symbolize arguments, and how to judge whether they might be invalid using truth-table methods.

Why this is useful:

We wish to appraise arguments, to do this we have to symbolize them first. Judging the invalidity of arguments by truth-table methods is not particularly important, but it does help to develop skills involving truth and lists of formulas.

Reading

Bergmann[2004] The Logic Book Section 3.5.