I'm reading some books on theory of knowledge and philosophy of mind. In those readings, notion of "open sentences" are used for certain extension, for example by Davidson.

Question: what does open sentence mean in philosophy?

  • 3
    Is there any chance I could persuade you to share a little more about your context? What books are you reading? – Joseph Weissman Sep 14 '15 at 14:54
  • @JosephWeissman Davidson's mental events. And D.W.Hamlyn's The theory of knowledge. – Darae-Uri Sep 14 '15 at 14:57
  • 1
    @Darae-Uri, more context would still be useful... can you edit your question with a passage for context? Also, in general, when someone asks for clarification, edit your question so that others who come across your question don't have to figure it out from the comment thread. – James Kingsbery Sep 14 '15 at 17:38
  • 1
    Yes, please provide one or two quotations involving "open sets", from both sources. – Ram Tobolski Sep 14 '15 at 22:38
  • 1
    I found no "open sets" in Mental Events, there are plenty of "open sentences" but no "open sets" fitelson.org/proseminar/davidson.pdf – Conifold Sep 15 '15 at 2:42

An open sentence is a sentence featuring a free variable. They are sometimes called open formulas.

For example, 'x is green' is an open sentence, whereas 'Sam is green' is not.

Open sentences can be thought of as expressing a (possibly complex) property.

(I've checked and this is the sense being used in the Davidson paper mentioned.)

Not the answer you're looking for? Browse other questions tagged or ask your own question.