Sender: lojban@googlegroups.com
Date: Sat, 26 Sep 2020 01:51:15 -0700 (PDT)
From: "gleki.is...@gmail.com" <gleki.is.my.name@gmail.com>
To: lojban <lojban@googlegroups.com>
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Subject: [lojban] Re: Fuzzy set theory
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Em quinta-feira, 24 de setembro de 2020 =C3=A0s 20:57:32 UTC+3, Corbin Simp=
son=20
escreveu:

>
> la gleki asks in private communication whether I've figured out fuzzy set=
=20
> theory semantics.
> ...
> In the framing set up so far, la gleki's central question for me was=20
> whether we can have a selbri with a structure like "x1 is an element of=
=20
> fuzzy set x2 with probability/grade x3".
>
>
somewhat. My question was about a predicate "blalaseta =3D x1 is a member o=
f=20
set x2 in property x3"  but it should probably be extended to "x1 is a=20
member of x2 (set of elements of the same type as x1) in property x3 (ka,=
=20
property of each element of x2) to the degree x4 (li, belongs [-1:1])".
Then x4=3Dli ni'u pa would be equal to x3=3Dli pa but with x3 having the=20
predicate of the property inverted with {na}. Or alternatively, x4 could be=
=20
limited to [0:1]. Additionally, x5=3Depistemology could be added or it all=
=20
could be split into something like=20

A boi S boi P boi J boi E blalaseta =3D> J jei Aboi Sboi Pboi ckini* kei be=
 E=20
(obviously ckini needs a bit of pretuning)


 =20

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<br><br><div class=3D"gmail_quote"><div dir=3D"auto" class=3D"gmail_attr">E=
m quinta-feira, 24 de setembro de 2020 =C3=A0s 20:57:32 UTC+3, Corbin Simps=
on escreveu:<br></div><blockquote class=3D"gmail_quote" style=3D"margin: 0 =
0 0 0.8ex; border-left: 1px solid rgb(204, 204, 204); padding-left: 1ex;"><=
br><div>la gleki asks in private communication whether I've figured out fuz=
zy set theory semantics.<br></div><div>...</div><div>In the framing set up =
so far, la gleki's central question for me was whether we can have a selbri=
 with a structure like "x1 is an element of fuzzy set x2 with probability/g=
rade x3".</div><div><br></div></blockquote><div><br></div><div>somewhat. My=
 question was about a predicate "blalaseta =3D x1 is a member of set x2 in =
property x3"&nbsp; but it should probably be extended to "x1 is a member of=
 x2 (set of elements of the same type as x1) in property x3 (ka, property o=
f each element of x2) to the degree x4 (li, belongs [-1:1])".</div><div>The=
n x4=3Dli ni'u pa would be equal to x3=3Dli pa but with x3 having the predi=
cate of the property inverted with {na}. Or alternatively, x4 could be limi=
ted to [0:1]. Additionally, x5=3Depistemology could be added or it all coul=
d be split into something like&nbsp;</div><div><br></div><div>A boi S boi P=
 boi J boi E blalaseta =3D&gt; J jei Aboi Sboi Pboi ckini* kei be E&nbsp;</=
div><div>(obviously ckini needs a bit of pretuning)</div><div><br></div><di=
v><br></div><div>&nbsp;&nbsp;</div></div>

<p></p>

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