I agree with all of this Three points to make for the sake of precision i I think that classical recursive mathematics and Markov s constructivism are essentially the same and I think that this is the constructivism that the Russian constructivist school came to hold although I feel some doubt that I am right in this ii The most important theory of constructive set theory CZF is a more or less successful attempt ie modulo hand waving to clothe Martin Loef s type theory in the language of ZF and iii I don t think Brouwerian intuitionism was really faithfully followed by anyone else Heyting s approach is essentially the same sort of thing as BishopMartin Loef and who else really tried to take up Brouwer Kolmogorov And excellent I am pleased I think that documenting the three schools is a good place to start and then get started on the real content It sounds like I have most to say on measure theory and you have most to say on analysis If so there s a possible division of labour Charles Stewart