bergmann

Tutorial 8: Reductio ad Absurdum

Logical System

6/2/09 10 Software

Skills to be acquired:

Learning reductio proof, both as plain Negation Introduction and via (double) Negation Elimination (to prove some formulas that do not have negation as their main connective).

Reading

Bergmann[2004] The Logic Book Section 5.1 and 5.4

The Tutorial:

Reductio ad Absurdum is the second of the classical forms of inference.

Tutorial 7: Conditional Proof

Logical System

6/1/09 10 Software

Skills to be acquired:

Learning conditional proof.

Reading

Bergmann[2008] The Logic Book Section 5.1 and 5.4

The Tutorial:

The five remaining core 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

5/29/09 10Software

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.