Not signed in (Sign In)

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Site Tag Cloud

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics comma complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration finite foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).
    • CommentRowNumber1.
    • CommentAuthorTodd_Trimble
    • CommentTimeNov 8th 2011

    This is for Toby: in the article on Errett Bishop, it is stated, “Before [his interest in constructive mathematics], he had an ordinary career in approximation theory.” This sounds rather odd to me; most accounts I have read have said his career in (for example) function algebras and in several complex variables – not to mention approximation theory – was extraordinary and brilliant. (Quite a few people with no interest in his constructive mathematics hailed him as an authentic genius in these areas.) Would you clarify this, please?

    • CommentRowNumber2.
    • CommentAuthorTodd_Trimble
    • CommentTimeNov 8th 2011
    • (edited Nov 8th 2011)

    Some very impressive testimony regarding the mathematical (analytic) prowess of Bishop can be found here.

    • CommentRowNumber3.
    • CommentAuthorTobyBartels
    • CommentTimeNov 10th 2011

    By ‘ordinary’ I meant not focussed on constructive mathematics.

    I’ve edited the sentence slightly, but you should add more if you like.

    • CommentRowNumber4.
    • CommentAuthorTodd_Trimble
    • CommentTimeNov 10th 2011

    You mean, then, a career in classical or ordinary approximation theory, not a classical career in approximation theory! The latter sounds bizarre to me! Just to underscore this, wouldn’t it sound weird to say “a non-constructive career in approximation theory”, when you mean “a career in non-constructive approximation theory”?

    • CommentRowNumber5.
    • CommentAuthorTobyBartels
    • CommentTimeNov 10th 2011

    Goodness, you’re right!

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeNov 10th 2011

    That’s fun. Let’s see, what kind of careers can we envision:

    A perverse career in sheaf theory.

    A pointless career in topology.

    An unbounded career in chain complex theory.

    A simple career in group theory

    An empty career in set theory. (Nah, then better a career in empty set theory ;-)

    Okay, I better stop now.