sandy whitelinger
Veteran Member
P1 Socrates is a man
P2 All men are moral
C Socrates is mortal
If so then keep reading:
The Cogito
P1 I am thinking
P2 Whatever has the property of thinking, exists
C I exist
If P1 were not the case then its contradiction "I am not thinking" would be the case. However, this cannot be asserted coherently and so it cannot be the case. Therefore, P1 is the case.
P2 is an instance of the instantiation principle. If the instantiation principle were not the case then its contradiction "Whatever has the property S, does not exist" would be the case. However, this cannot be asserted coherently and so it cannot be the case. Therefore, P2 is the case.
The argument is in Disamis syllogistic form:
P1 Some A are B
P2 All B are C
C Therefore some A are C
Therefore the inference from P1 and P2 to C is valid.
Additionally, P1 and P2 are the case.
Therefore, The Cogito is sound.
Therefore, C is the case.
P2 All men are moral
C Socrates is mortal
If so then keep reading:
The Cogito
P1 I am thinking
P2 Whatever has the property of thinking, exists
C I exist
If P1 were not the case then its contradiction "I am not thinking" would be the case. However, this cannot be asserted coherently and so it cannot be the case. Therefore, P1 is the case.
P2 is an instance of the instantiation principle. If the instantiation principle were not the case then its contradiction "Whatever has the property S, does not exist" would be the case. However, this cannot be asserted coherently and so it cannot be the case. Therefore, P2 is the case.
The argument is in Disamis syllogistic form:
P1 Some A are B
P2 All B are C
C Therefore some A are C
Therefore the inference from P1 and P2 to C is valid.
Additionally, P1 and P2 are the case.
Therefore, The Cogito is sound.
Therefore, C is the case.