diagonalization love

diagonalization

Definitions

from Wiktionary, Creative Commons Attribution/Share-Alike License.

  • noun US spelling of diagonalisation.

from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.

  • noun changing a square matrix to diagonal form (with all non-zero elements on the principal diagonal)

Etymologies

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Examples

  • Continuing down the list, this mathematical method called "diagonalization" generates a real number p between zero and one that, by its construction, differs from every real number on the list in at least one decimal place.

    Strange but True: Infinity Comes in Different Sizes | Impact Lab 2007

  • These include: providing preventive and primary care services; developing a health workforce; devising equitable financing arrangements; regulating the private sector; and leveraging vertical programs (such as malaria control) to strengthen, rather than distort, the overall health system ( "diagonalization"

    PLoS Medicine: New Articles 2010

  • These include: providing preventive and primary care services; developing a health workforce; devising equitable financing arrangements; regulating the private sector; and leveraging vertical programs (such as malaria control) to strengthen, rather than distort, the overall health system ( "diagonalization"

    PLoS Medicine: New Articles Suerie Moon et al. 2010

  • By diagonalization, self-reference or the like we can get a sentence C such that

    Curry's Paradox Beall, JC 2008

  • On the diagonalization strategy, we make use of our preexisting grasp of ordinary content to determine what ordinary content the thought would express if it were located at the center of a particular centered world, and then determine whether that ordinary content is true at that centered world.

    Narrow Mental Content Brown, Curtis 2007

  • Gödel's construction was soon given a general form, as a general diagonalization lemma, which refers to arbitrary definable properties.

    Paradoxes and Contemporary Logic Cantini, Andrea 2007

  • Just as there can be no set of all sets, there can for diagonalization reasons also not be a proper class of all proper classes.

    Philosophy of Mathematics Horsten, Leon 2007

  • It is also important to stress that a few years later (1938) an analog of the diagonalization lemma (the so-called second recursion theorem) was discovered by Kleene and was soon to become a basic tool in the foundations of recursion theory and computability theory.

    Paradoxes and Contemporary Logic Cantini, Andrea 2007

  • The problem of identifying the bearer of narrow content is obviously closely related to the problem of what to hold constant when employing the diagonalization strategy.

    Narrow Mental Content Brown, Curtis 2007

  • Unlike the diagonalization strategy, the epistemic strategy does not depend on a prior determination of the broad content of the expression or state.

    Narrow Mental Content Brown, Curtis 2007

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