Constructive Mathematics

Some articles on mathematics, constructive mathematics, constructive:

Index Of Philosophy Articles (A–C) - C
... Society for History and Philosophy of Mathematics Candace Vogler Candide Candrakīrti Canonical form (Boolean algebra) Cantor's paradox Cantor's theorem Capacity Capital accumulation Capital punishment ... Cognitive relativism Cognitive revolution Cognitive science Cognitive science of mathematics Cognitive synonymy Cognitive wheels Cognitivism Cognitivism (ethics ... Culture and the arts Geography and places Health and fitness History and events Mathematics and logic Natural and physical sciences People and self Philosophy and thinking Religion and ...
Errett Bishop - Work
... Constructive mathematics ... His now-famous Foundations of Constructive Analysis (1967) aimed to show that a constructive treatment of analysis is feasible, something about which Weyl had been ... A 1985 revision, called Constructive Analysis, was completed with the assistance of Douglas Bridges ...
Setoid - Constructive Mathematics
... In constructive mathematics, one often takes a setoid with an apartness relation instead of an equivalence relation, called a constructive setoid ...
Cauchy Sequence - Generalizations - In Constructive Mathematics
... In constructive mathematics, Cauchy sequences often must be given with a modulus of Cauchy convergence to be useful ... However, this well-ordering property does not hold in constructive mathematics (it is equivalent to the principle of excluded middle) ... the weaker AC00), which is generally accepted by constructive mathematicians ...
Constructive Proof - Brouwerian Counterexamples
... In constructive mathematics, a statement may be disproved by giving a counterexample, as in classical mathematics ... counterexample to show that the statement is non-constructive ... shows that the statement implies some principle that is known to be non-constructive ...

Famous quotes containing the words mathematics and/or constructive:

    In mathematics he was greater
    Than Tycho Brahe, or Erra Pater:
    For he, by geometric scale,
    Could take the size of pots of ale;
    Resolve, by sines and tangents straight,
    If bread and butter wanted weight;
    And wisely tell what hour o’ th’ day
    The clock doth strike, by algebra.
    Samuel Butler (1612–1680)

    If grandparents want to have a meaningful and constructive role, the first lesson they must learn is that becoming a grandparent is not having a second chance at parenthood!
    Eda Le Shan (20th century)