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  2. Explanatory indispensability argument - Wikipedia

    en.wikipedia.org/wiki/Explanatory...

    Mathematical objects play an indispensable explanatory role in science. Therefore, we ought rationally to believe in the existence of mathematical objects. The argument is premised on the idea that inference to the best explanation, which is often used to justify theoretical entities such as electrons, can provide a similar kind of support for ...

  3. Quine–Putnam indispensability argument - Wikipedia

    en.wikipedia.org/wiki/Quine–Putnam...

    According to Melia, we only need to believe in mathematics if it is indispensable to science in the right kind of way. In particular, it needs to be indispensable to scientific explanations. [69] But according to Melia, mathematics plays a purely representational role in science, it merely "[makes] more things sayable about concrete objects". [70]

  4. The Indispensability of Mathematics - Wikipedia

    en.wikipedia.org/wiki/The_Indispensability_of...

    The Indispensability of Mathematics [1] is a 2001 book by Mark Colyvan in which he examines the Quine–Putnam indispensability argument in the philosophy of mathematics.This thesis is based on the premise that mathematical entities are placed on the same ontological foundation as other theoretical entities indispensable to our best scientific theories.

  5. 5 indispensable skills you need for the future of work - AOL

    www.aol.com/article/2016/07/10/5-indispensable...

    The way we work is changing and the pace of change is accelerating faster than you think. Change is rapid, radical and unpredictable.

  6. 5 ways to become indispensable - AOL

    www.aol.com/article/2016/08/17/5-ways-to-become...

    For premium support please call: 800-290-4726 more ways to reach us

  7. How to Be Indispensable at Work - AOL

    www.aol.com/2009/08/07/how-to-be-indispensable...

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  8. Guru - Wikipedia

    en.wikipedia.org/wiki/Guru

    Verse 1.2.8 of the Katha Upanisad declares the guru "as indispensable to the acquisition of knowledge." [ 31 ] In chapter 3 of Taittiriya Upanishad , human knowledge is described as that which connects the teacher and the student through the medium of exposition, just like a child is the connecting link between the father and the mother through ...

  9. Naked teacher caught inside elementary school with sex toys ...

    www.aol.com/naked-teacher-caught-inside...

    A Florida teacher was caught naked inside of an elementary school classroom with sex toys, marijuana and women’s underwear — and punched a cop while trying to flee the scene, according to police.

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