gentzen
The Symbolization Applet
Example only
Tutorial 16 Symbolization using the quantifiers.
1/27/09 10 Software
Skill to be acquired in this tutorial:
To learn how to use the Universal and Existential Quantifiers in symbolizing propositions.
Try your own derivations
12/28/20
Roll your own derivations
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 ∼ ∧ ∨ ⊃ ≡ ∀ ∃ ∴
Tutorial 11: Abelian Groups, Boolean Algebra, Linearly Ordered Sets
Tutorial 6: Abelian Groups Tutorial 7: Boolean Algebra Tutorial 8: Linearly Ordered Sets Coming sometime!
Solutions to Tutorial 4: Number Theory 1
1/2/2021
Solutions
Theorem 1
| 1 | x=x | =I | ||
| 2 | (∀x)(x=x) | 1 UG | ||
Theorem 2
Help with the Uniqueness Rules
1/17/20
Help with the Identity Rules
1/17/20
[This is a film-- press the 'play' symbol.]
Help with Drawings for Identity
1/9/09
Your browser does not support the video tag.
-->
[What is shown below is a Video, with sound. Your computer should be able to run this. If you have external speakers, or similar, you may need to turn them on and turn the volume up.]
The video shows an older implementation (but it should convey the principles).
Help with Ex 3: Moderately Difficult Example
1/9/09
Help with Ex3 1.
This shows the general technique for proving identities between sets.
The Proof Applet
1/10/09 13 Software
Some predicate logic proofs or derivations using Gentzen calculus. Try to prove them (click 'Derive It' off the Wizard Menu, if you want help).