Hilary Putnam: philosophy vs mathematics
Osnova sekce
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Read Putnam's paper "Mathematics without foundations" and think about the following:
1] Do you agree that one of the two ways of looking at mathematics -- which Putnam states --, i.e. ``Mathematics as Modal Logic'', can be understood with little loss of meaning as the simple provability in the first order-logic?
2] What is the other way in Putnam's paper?
3] Do you think (argue your point) that every mathematical statement has a truth value?
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If interested you can also read Putnam's paper "What is mathematical truth"?