HYPOTHETICAL SYLLOGISM

Sentence pattern:

if [sentence 1] then [sentence 2]
if [sentence 2] then [sentence 3]

Therefore, [sentence 1] then

[sentence 3]
Form:
Example:


If Roxin contains morphine then it is habit forming..
If it is habit forming then it must be labeled..
Therefore, if Roxin contains morphine then it must be labeled..
Example symbolized:
Following the logical convention of letting a single letter represent an atomic sentence:

R = Rexin contains morphine.
H = It is habit forming.
L = It must be labeled.

And replacing if...then... with a symbol for implication: >

R > H
H > L
------
R > L
 Examples of HS:

B>~K
~A > B
-------- --------------
~A>~K

F>~(~Y >T)
~(~Y > T) > [B . (C = D)]
--------------------------
F>[B . (C = D)]

 Application:

1. (O > N) > (X > H)]
2. (X > H) > (J > L)
3. (J > L) > V   / (O > H) > V
4. (O > H) > (J > L )  1, 2 HS
5. (O > H) > V       4, 3 HS