Hume’s famous statement of it is included here. He denied deducing an “ought” from an “is.” On the other hand, he indirectly denied any connection between the two using reason. This is likely why some call it Hume's guillotine.
I recently saw a video by Yaron Brook of the Ayn Rand Institute in which he talks about the is-ought problem. Around 2:00 he talks about generating an “ought” from an “is” and bridging the is-ought gap. I believe these are other ways of saying an "ought" statement can be based on an "is" statement, but they are not by deduction.
I also saw this article about Ayn Rand and the is-ought problem. I liked his following syllogisms about is/ought:
“The sole difficulty arises over the derivability of values from facts.
The following syllogism does not violate Hume's Law:
One ought not to murder human beings.
Socrates is a human being.
Therefore, one ought not to murder Socrates.
On the other hand, the syllogism below does violate Hume's Law:
Human beings have a right to life.
Socrates is a human being.
Therefore, one ought not to murder Socrates.
The second syllogism is defective, for it requires for its conclusion the premise that one ought to respect the rights of others. Add that assumption, and one has a valid syllogism which integrates facts and values” (84-5).
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