Tutorial 15: Elementary derivations in predicate logic
2013
The Tutorial
The propositional rules of derivation carry over unchanged into Predicate Logic
If you can see this, your browser does not understand IFRAME.-->
2013
The propositional rules of derivation carry over unchanged into Predicate Logic
If you can see this, your browser does not understand IFRAME.-->
10Software
A few concepts are needed give a simple portrayal of the truth and falsity of predicate logic formulas.
There is the notion of an Interpretation which consists of a Universe together with an account of how the various symbols in the predicate logic formulas apply in this Universe.
There should be a Universe, which is the collection of the objects that the formulas is about. We write, for example,
Universe = {a,b,c}
2013
In predicate logic, many different styles of expression in English get cast into the same 'property-is-had-by-entity' form. For example,
8/13/26
To start learning how to symbolize propositions using predicate logic.
There are many valid arguments which cannot be shown to be valid using propositional logic alone. For example,
Beryl is a philosopher.
All philosophers are wise.
Therefore
Beryl is wise.
There are many valid arguments which cannot be shown to be valid using propositional logic alone. For example,
Beryl is a philosopher.
All philosophers are wise.
Therefore
Beryl is wise.
Welcome!
These web pages provide an introduction to logic to the level of Propositional and Predicate Calculus.
The focus of the program is on arguments and the question of whether they are valid. Arguments have the form <list of premises> ∴<conclusion>. An argument is valid if and only if it is not possible for all its premises to be true and its conclusion false at one and the same time; an argument which is not valid is invalid.
8/13/26
The very first lesson that we have a right to demand that logic shall teach us is, how to make our ideas clear; and a most important one it is, depreciated only by minds who stand in need of it. To know what we think, to be masters of our own meaning, will make a solid foundation for great and weighty thought. [CS Peirce, How to make our ideas clear]
Welcome!
These web pages provide an introduction to logic to the level of Propositional and Predicate Calculus.
The focus of the program is on arguments and the question of whether they are valid. Arguments have the form <list of premises> ∴<conclusion>. An argument is valid if and only if it is not possible for all its premises to be true and its conclusion false at one and the same time; an argument which is not valid is invalid.
2/3/08 10 Software The Widget for this has yet to be written.
However, the Tree Quiz can be done in the web application.
You might want to glance at Deriver in a web page Then you can launch Deriver from here Deriver20 [Howson Parser].
Preferences
You will need the relevant Preferences for this.
9/16/08 10 Software
Richard Jeffrey, [1967-2006] Formal Logic: its Scope and Limits