Appendix
Appendix I
( y)
[Ty
(Bxy
Axy)] = ( y)
[Ty
(~Axy
~Bxy)] is explained as follows: |
( y) |
-- there is a y such that |
Ty |
-- y is a year-round temperature range |
|
-- and |
Bxy |
-- x is behaviorally active throughout y |
 |
-- goes between a clause beginning with if and a
following clause beginning with then |
Axy |
-- x is in an animal adapted to y |
 |
-- is equivalent to |
~ |
-- not |
Appendix II
The basic structure requirement is an offshoot of the linguistic
emphasis in 20th century philosophy and logic. Embedded
in ‘entity x has a property related to an environmental
condition’ is a principle of predication, wherein such an
entity is the subject of a sentence of which the rest is the predicate.
Corresponding to ‘Alice loves Bill’ or ‘Alice
has lovingness for Bill’ is ‘x is adapted to
y’ or ‘x has adaptedness to y’.
The property of lovingness is a part of Alice and is separated off
by predication. Likewise the property of adaptedness is separated
off from the organism of which it is a part – by predication,
the unavoidable feature of language. Other beings have one-word
sentences (the bark of a dog or song of a bird), but we have a complete
language, with many-worded subject-predicate sentences. And the
subjective structure of our sentences determines the external structure
of the world as particular entities composed of properties, in the
realist’s view.
Appendix III
The two-thousand–year-old debate about the existence of universals
began with Plato (Jowett). Plato’s words from the Parmenides
are: “great things become great, because they partake of greatness,
and just and beautiful things become just and beautiful, because
they partake of justice and beauty”. But justice and beauty
cannot be reduced to just and beautiful things for the following
reason.
Frank Jackson (1977) provides an “apparently decisive”
objection to the reduction of properties to particulars. “Everything
red is both shaped and extended, but red is neither a shape nor
an extension.” “This is not to deny that ‘Red
is a color’ entails that necessarily everything red is coloured.
But the former says more than the latter. If red’s being a
colour were nothing more than a matter of every red thing necessarily
being coloured, then red’s being a shape and an extension
would be nothing more than the fact that necessarily every red thing
is shaped and extended. And red is not a shape and not an extension.
It seems that ‘Red is a colour’ says, as the realist
maintains, something about red not reducible to something about
red things.” These are Jackson’s important words. And
by analogy justice and beauty are not reducible to just and beautiful
things.
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