September 2010
Intermediate to advanced
310 pages
12h 1m
German
Content preview from Handlungstheoretische Semantik
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Beweise D5
Für G.iii: (QV*
B
) ((7) (8))
i.e.: (QV*
B
) G(a,F(b
1
) … F(b
m
))
Vx(x=b
1
G(a,F(x))) … Vx(x=b
m
G(a,F(x)))
Dazu ist zu zeigen:
G.iii.1: (QV*
B
) ((7) (8))
und
G.iii.2: (QV*
B
) ((8) (7))
Für G.iii.1: Aus (7) nach TG1c G(a,F(b
i
)) für jedes 1 i m; aus (QV*
B
)
direkt Vx(x=b
i
G(a,x=b
i
)) für jedes dieser i. Somit auch Vx(x=b
i
G(a,F(x))); damit auch (8).
Für G.iii.2: Aus (8) Vx(x=b
i
G(a,F(x))) für jedes 1 i m. Aus (QV*
B
)
für jedes dieser i Vx(x=b
i
G(a,x=b
i
)), wegen TG1c also Vx(x=b
i
G(a,x=b
i
F(x))); woraus p.l. VxG(a,x=b
i
F(x)), nach TG1h also
G(a,Vx(x=b
i
F(x))), danach TG1a also G(a,F(b
i
)), damit auch (7)
Für TG.IV: (0.) (QV*
B
) ((0.) W(a,0. ...
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