predicate

Fast Start on Web Page presentations (for Instructors) martin Thu, 10/16/2014 - 17:20
Try your own derivations admin Sat, 01/11/2014 - 01:50
Logical System

Roll your own derivations

2013

You may have derivations of your own that you wish to try. Just type, paste, or drag and drop, them into the panel, select your derivation, and click 'Start from selection'. [Often copy-and-paste won't work directly from a Web Page; however, usually drag-and-drop will work!]

You will need to use the correct logical symbols. Here they are

F ∴ F & G ∼ & ∨ ⊃ ≡ ∀ ∃ ∴ (or use the palette to produce them)

Help with Tutorial 25h admin Sat, 01/11/2014 - 01:50
Logical System

4/24/06

Tutorial 25 Exercises h

Help with Tutorial 25g admin Sat, 01/11/2014 - 01:50
Logical System

4/24/06

Tutorial 25 Exercises g

Help with Tutorial 25e admin Sat, 01/11/2014 - 01:50
Logical System

4/24/06

Tutorial 25 Exercises e

Help with Tutorial 25d admin Sat, 01/11/2014 - 01:50
Logical System

4/24/06

Tutorial 25 Exercises d

Help with Tutorial 25abc admin Sat, 01/11/2014 - 01:50
Logical System

4/24/06

Tutorial 24: The restrictions on the quantificational rules admin Sat, 01/11/2014 - 01:50
Logical System
12/25/13

Skill to be acquired:

To understand how the various restrictions on the quantificational rules work to exclude certain kinds of invalid inferences

Reading

Bergmann[2004] The Logic Book Section 10.1

The Tutorial

The Rule of Universal Elimination UE

If a derivation contains a line of the form

n (∀<variable>)<scope> <any justification>

then a line of the form

Tutorial 23: The semantics of relations admin Sat, 01/11/2014 - 01:50
Logical System
12/24/13

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).


Let us start with an Interpretation

Interpretation 1

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

Tutorial 22: Symbolizing Relations admin Sat, 01/11/2014 - 01:50
Logical System

2013

Tutorial 22 Symbolizing Relations.

The Tutorial

Thus far we have considered only 'monadic' predicates-- our atomic formulas consist of a predicate followed by only one term-- for example, Fx. But in English we regularly encounter dyadic predicates or relations. For example, 'Arthur is taller than Bert' cannot be symbolized with the tools we have used so far; what is needed is a relation to represent '...is taller than ...' Txy, say, and then the proposition would be symbolized Tab.