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Past exam of the mathematics course of the University of Cambridge
/
2019
/
iii
/
Paper 121
/
2
/
i
/
Solution
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Past exam of the mathematics course of the University of Cambridge
2019
iii
Paper 121
2
i
2026-10-03
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The
definable power set
is
D
(
A
)
=
Def
(
A
,
1
)
=
{
{
x
∈
A
:
(
A
,
∈
)
⊨
φ
(
x
,
a
1
,
…
,
a
n
)}
:
φ
is a first-order formula and
a
1
,
…
,
a
n
∈
A
}
.
(1)
Thus it contains exactly the
subsets
of
A
definable over the structure
(
A
,
∈
)
using finitely many
parameters
from
A
.
Ancestors
(11)
i
2
Paper 121
iii
2019
Past exam of the mathematics course of the University of Cambridge
Mathematics course of the University of Cambridge
Course of the University of Cambridge
University of Cambridge
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