An argument is a list of premises, statements, or propositions that end with a claim or conclusion.(SEP, Dutilh Novaes) (Hardegree, p. 3) (Gingerich)
A statement is a declarative statement, which can be true or false.(Hardegree, p. 3)
Arguments can be one of or a combination of the following:(Gingerich) (IEP, Shanahan)
- Valid argument: An argument that if premises are true so is the conclusion.
- Sound argument: An argument is valid and the premises are true.
- Invalid argument: An argument that if the premises are true it doesn’t necessarily mean that the conclusion is either.
- Unsound argument: argument that if the premises are not true or the chain of logic is not true.
Arguments can also be Deductive or Inductive:(IEP, Shanahan) (Gingerich)
- Deductive: Conclusions necessarily/certainly follows from its premises. The premises in deductive arguments are based on pure logic, and can exist regardless of reality.
- Inductive: Conclusions follow its premises with some probability. Means that conclusion could be wrong since the premises could also be wrong. The premises in inductive arguments are based in reality.