barwise

LP&L Trees 0 Video: Advanced Tarksi World Tree

Topic
Logical System

6/30/11 11 Software

Reading

John Barwise and John Etchemendy, [1999] Language, Proof and Logic 

This video shows extending, closing, and Analytical Consequence for a pretty advanced example tree. The tree itself is broad, spreading a long way from left to right. This leads to some scrolling back and forth because the applet is being held to the width of a printable page. [In the general case, though, the applet could be re-sized to take advantage of your no doubt sizable monitor and its extensive screen real estate.]

LP&L Trees 1 Analytical Consequence Ana Con I

Topic
Logical System
Last altered 1/9/14

Reading

John Barwise and John Etchemendy, [1999] Language, Proof and Logic

LP&L comes with a Normal or Standard Interpretation, and this certainly affects how trees should and can behave.

For example, the polyhedra are either tetrahedra, cubes, or dodecahedra. If a particular polyhedron is a cube it cannot be a tetrahedron, so Cube(a)&Tet(a) cannot be true and a branch containing Cube(a) and Tet(a) should close or be able to close.