hausman

1/29/08 10Software Under construction

Skills to be acquired in this tutorial:

To become familiar with the new rules for predicate logic trees with identity.

Tutorial:

It is possible to use trees with formulas containing identity. Two new rules are needed.

10/29/06 10Software

Existential Instantiation (EI)

2/5/08

Existential Instantiation

Existential Generalization (EG)

2/5/08

Existential Generalization

2/5/08

Universal Generalizaton

5/26/09 10Software

Reading

A. Hausman, H.Kahane, P.Tidman, [2007] Logic and Philosophy Chapter 12

Exercises

Hausman [2007] has a number of exercises. Many of them you will be able to do in the Applet below.

Here are a few hints

Tree Quiz 1.

2/3/08 10 Software

Quiz 1 Applet

Your browser is not displaying the Deriver applet. Try downloading Deriver itself by clicking on the link elsewhere on the page.

1/23/09 10 Software

A central use for Trees is to produce a counter example to an invalid argument. To do this, you construct a tree with a complete open branch. You will be able to do this for invalid arguments (but not valid ones). Then you run up that branch assigning all atomic formulas True and all negations of atomic formulas False.

This applet will let you try a few.

∃D. The constant, a, must be new to the branch [here the computer will choose for you]

∀D. Any closed term, stage 1, your choice

∀D. Any closed term, stage 2, a chosen

2/3/08 10 Software

Quiz 2 Applet

Your browser is not displaying the Deriver applet. Try downloading Deriver itself by clicking on the link elsewhere on the page.