6/21/07 10 Software
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 ∼ ∧ ∨ ⊃ ≡ ∃ ∴
11/27/11 10Software
You now have to tools to appraise sentential arguments.
Let us run through how these might be used with two examples.
Consider the argument
If no human action is free, then no one is responsible for what they do.
If no one is responsible for what they do, no one should be punished.
Therefore
If no human action is free, no one should be punished.
First it should be symbolized
11/27/11 10Software
2/4/08
6/21/07
This video uses '&' as the logical symbol for 'and'.
6/21/07
This video uses '&' as the logical symbol for 'and'.
12/21/06
Modus Ponens (MP)
p⊃q,
p
∴
q
Modus Tollens (MT)
p⊃q,
~q
∴
~p
Disjunctive Syllogism(DS)
p∨q,
~p
∴
qor, if desired,
p∨q,
~q
∴
p
Simplication (Simp)
p.q
∴
por, if desired,
p.q
∴
q
Conjunction (Conj)
11/27/11
Becoming familiar with common inference patterns and being able to use them via replacement rules. This helps with assessing ordinary everyday reasoning such as that found in the law, in newspapers, in advertisements, etc.
Hausman[2007] Logic and Philosophy Chapter 4