Validity, Invalidity, and Logical Form

When we say that an argument is valid we are saying something about its logical form. To put it epigrammatically, validity is a matter of form. We are saying that its form is such that no (actual or possible) argument of that form has true premises and a false conclusion. Validity is necessarily truth preserving. I just used the expression, 'its form.' But since an argument can have two or more forms, a better formulation is this:

1. An argument is valid iff it instantiates a valid argument-form.

Given (1), some will be tempted by

2. An argument is invalid iff it instantiates an invalid argument-form.

But (2) is false. After all, every (noncircular) argument instantiates an invalid form. 'Some cameras are digital devices; therefore, some digital devices are cameras,' which is obviously valid, instantiates the invalid form p therefore q. Similarly, every valid syllogism has the invalid form p, q, therefore r. Consider this argument: