Want to keep learning?

This content is taken from the University of York's online course, Logic: The Language of Truth. Join the course to learn more.
A number of beautifully smooth and precisely-made interlinked metal cog wheels

'Valid' in logic and in everyday English

Some important words in logic are used with meanings different to the meanings they usually have in everyday English. ‘Valid’ is one of these words.

In everyday English, people often say an argument (or sometimes just a single claim) is valid just to indicate they agree with it, or even just to indicate that they think it shouldn’t be ignored or not listened to (as in ‘that is a valid point of view’). It’s important to note that ‘valid’ (meaning deductively valid) has a different meaning in logic.

In thinking and talking about logic in this course, you should try to avoid using ‘valid’ in its everyday sense and use it only to talk about the specific property of arguments we’ve defined here.

Another quick bit of terminology: Arguments that are both valid and have all their premises true are called sound. Obviously, when we’re investigating particular issues and subject-matter we’re looking for sound arguments but, when we’re doing logic, our focus is on the reasoning. What we’re looking at in logic is what follows from what: whether, if the premises were true, the conclusion would have to be true too.

Take a look at the following arguments. For each one, decide whether you think it’s deductively valid or not. Pick one or more and share your views on it/them in Comments. (If you think an argument is invalid, add a description of a situation in which the premises are true and the conclusion false.)

  1. Benton is a person. Therefore, Benton is a human being.
  2. If a card in pack 1 has an ‘A’ on one side, it has a ‘B’ on the other side. This card is from pack 1, and it has a ‘B’ on one side. Therefore, it has an ‘A’ on its other side.
  3. Trump is a Canadian or Trump is an Australian. Trump is not a Canadian. Therefore, Trump is an Australian.
  4. Figure Y is a triangle. Therefore, the internal angles of Figure Y add up to 180 degrees.

Share this article:

This article is from the free online course:

Logic: The Language of Truth

University of York