I can't see how his categorisation works.  Existence is generally
considered to be a property of "kicking back" - of something existing
independently of us, and not conforming to whatever we'd like it to be. For
example. a planet is generally considered to exist - we can observer it (or
land things on it) and discover unexpected results - Mars is *not* covered
in H.G.Wells' Martian civilisation or Ray Bradbury's crystal cities, no
matter how much we might want it to be. God (in the conventional sense of
supreme being who created the universe) is sometimes considered not to
exist because it's a concept that gets modified to account for new
scientific discoveries - few Christians nowadays consider that God created
the Earth 6000 years ago, or directly caused it to be entirely flooded, for
example.

Roberto Unger and Lee Smolin are trying to claim that something can exist
(kick back - or as they put it, have rigid properties) yet not have existed
prior to being thought of by human minds. It seems hard to reconcile these
properties. Something thought up that describes something that exists could
reasonably be called an accurate scientific theory; something thought up
that describes something that doesn't exist could reasonably be called
fictional (or a failed scientific theory). I can see no reason why a
fiction should have rigid properties. Conversely, if the subject of some
theory kicks back, it's reasonable to consider it a (possibly) accurate
theory describing something that should be considered (at least
provisionally) real.

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