### Some articles on *mathematics, constructive mathematics, constructive*:

Index Of Philosophy Articles (A–C) - C

... Society for History and Philosophy of

... 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

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**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 -

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**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

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**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

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**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)