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 ... 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 ...
Setoid - Constructive Mathematics
... In constructive mathematics, one often takes a setoid with an apartness relation instead of an equivalence relation, called a constructive setoid ...
Constructive Proof - Brouwerian Counterexamples
... In constructive mathematics, a statement may be disproved by giving a counterexample, as in classical mathematics ... to show that the statement is non-constructive ... statement implies some principle that is known to be non-constructive ...
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 pessimistic ... A 1985 revision, called Constructive Analysis, was completed with the assistance of Douglas Bridges ...
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) ... fact, it will follow from the weaker AC00), which is generally accepted by constructive mathematicians ...

Famous quotes containing the words mathematics and/or constructive:

    It is a monstrous thing to force a child to learn Latin or Greek or mathematics on the ground that they are an indispensable gymnastic for the mental powers. It would be monstrous even if it were true.
    George Bernard Shaw (1856–1950)

    Euphemisms are not, as many young people think, useless verbiage for that which can and should be said bluntly; they are like secret agents on a delicate mission, they must airily pass by a stinking mess with barely so much as a nod of the head, make their point of constructive criticism and continue on in calm forbearance. Euphemisms are unpleasant truths wearing diplomatic cologne.
    Quentin Crisp (b. 1908)