Constructive Mathematics

Some articles on constructive mathematics, constructive, mathematics:

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 ...
Index Of Philosophy Articles (A–C) - C
... Journal of Philosophy Canadian Society for History and Philosophy of Mathematics Candace Vogler Candide Candrakīrti Canonical form (Boolean algebra ... psychology Cognitive relativism Cognitive revolution Cognitive science Cognitive science of mathematics Cognitive synonymy Cognitive wheels Cognitivism Cognitivism (ethics ... Geography and places Health and fitness History and events Mathematics and logic Natural and physical sciences People and self Philosophy and thinking Religion and belief systems Society ...
Constructive Proof - Brouwerian Counterexamples
... In constructive mathematics, a statement may be disproved by giving a counterexample, as in classical mathematics ... Brouwerian counterexample to show that the statement is non-constructive ... implies some principle that is known to be non-constructive ...
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) ... choice (in fact, it will follow from the weaker AC00), which is generally accepted by constructive mathematicians ...

Famous quotes containing the words mathematics and/or constructive:

    ... though mathematics may teach a man how to build a bridge, it is what the Scotch Universities call the humanities, that teach him to be civil and sweet-tempered.
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    Friendship among nations, as among individuals, calls for constructive efforts to muster the forces of humanity in order that an atmosphere of close understanding and cooperation may be cultivated.
    Franklin D. Roosevelt (1882–1945)