Dr. Anil Anant Pedgaonkar

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Questions related from Dr. Anil Anant Pedgaonkar

Which theorems do not follow from countable axiom of choice?

Axiom of choice is debatable. it leads to pardoxes like well ordering theorem which is intuitively false. Inceasingly people working in fields like tructive analysis or compter science tend to...

18 October 2018 9,953 10 View

If one puts xaiom of choice in the form arbitrary cartesian product of nonempty setsis nonempty then will there exist a nonmeasurable set ?

The non measurable set is formed by selecting one element from each equivalence class obtained by the relation x ~ y if x-y is rational. but we suggest we do not accept this form of axiom of...

18 October 2018 2,590 3 View

Can we have ZFC without axiom of separation and replacement for Maths ?

this is axiomatic set theory . these axioms are needed for set theory and not for mathematics. so can we avoid them since the involve use of predicate and property. will experts guide in detail....

01 October 2017 9,709 1 View

Will the restricted Power set axiom be useful in avoiding paradoxes in set theory ?

the question is clear and is axiomatic set theory question.the axiom of choice is innocent and true. but consequences like well ordering theorem or Banach Taraski paradox are debatable.. as the...

01 October 2017 9,728 0 View