In Proof, is Claire really cold, calculating, and insensitive?

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Claire is a practical woman who likes to take charge. She left to make a life for herself in New York, while Catherine had to quit school to stay home and care for her father. But, Claire did send money to her father and Catherine so they could pay off the house. It's not as if she abandoned the two of them totally. Claire seems to have taken her family responsibilities seriously. I think  Claire is very jealous of the relationship between Catherine and their father. Catherine inherited her father's genius for mathematics, and Claire doesn't fit into this world that her father and Catherine share. Claire felt he belonged in an institution, but Catherine totally disagreed. Along with dad's mathematical genius, Catherine seems to...

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