Determine whether each of the following arguments is intuitively valid or invalid. For valid arguments, determine whether they are sound $($if you can$).$

$3.$ Frankfort is the capital of Kentucky. Trenton is the capital of New Jersey. Phoenix is the capital of Arizona. It follows that Raleigh is the capital of North Carolina.

All circles are shapes. All shapes have distinct sides. Therefore, a circle has distinct sides.

All windows are made of glass. Glass is transparent. So$,$ all windows must be transparent.

All logical empiricists are verificationists. Some verificationists are holists. So$,$ some holists are logical empiricists.