Across and Down

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There are 14 clues with the answer 'SETTHEORY'
# CLUE
1.
Cantor was behind this fixed idea
2.
Branch of mathematics that uses union and intersection operations
3.
Field with intersections and unions
4.
Hypothesis about domestic animals or hobbyhorse (3,6)
5.
Scientist's favourite proposition (3,6)
6.
Cantor started this fixed idea
7.
Notions about theatre backdrops?
8.
Math major's class
9.
Firm proposition?
10.
Cantor was behind this fixed idea (3,6)
11.
Mathematical branch; the oyster (anag.) (3,6)
12.
Branch of mathematics focused on collections
13.
Determined those people will accept alternative work on collections? (3,6)
14.
Bit of maths problematic for the oyster (3,6)