Nonstandard analysis

Criticism of nonstandard analysis

Nonstandard analysis and its offshoot, nonstandard calculus, have been criticized by several authors, notably Errett Bishop, Paul Halmos, and Alain Connes. These criticisms are analyzed below. (Wikipedia).

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Why You Should Never Say "It's Just A Theory"

A portion of our culture distrusts the scientific method, assuming that there are transcendent truths unknowable by science. But nothing is truly out of bounds for science. If it's real, it can be studied, and tested. Perhaps the greatest misunderstanding our culture has about the scientif

From playlist Science for Common Folk

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Moral Skepticism - Philippa Foot (1970)

A criticism of moral skepticism in which expressions of form is analyzed and found to be other than skeptics have maintained. Moral concepts are suggested to have primary and dependent uses. The skeptics have latched on to the dependent; hence, their error. #Philosophy #Ethics #Metaethics

From playlist Ethics & Moral Philosophy

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Non Probability Sampling

Overview of non probability sampling; advantages and disadvantages, types. Check out my e-book, Sampling in Statistics, which covers everything you need to know to find samples with more than 20 different techniques: https://prof-essa.creator-spring.com/listing/sampling-in-statistics

From playlist Sampling

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A Defense of Classical Theology (Part 3): A Critique of Scientism and Naturalism

In part 3 of this series, I'd like to talk a bit about scientism and naturalism, which are two ideas that often surface when talking about natural theology. Usually they are brought in to outright dismiss any argument from metaphysics because it's not 'scientific' or cannot be 'empirically

From playlist Theology

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Transformation matrix with respect to a basis | Linear Algebra | Khan Academy

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/linear-algebra/alternate-bases/change-of-basis/v/lin-alg-transformation-matrix-with-respect-to-a-basis Finding the transformation matrix with respect to a non-stan

From playlist Alternate coordinate systems (bases) | Linear Algebra | Khan Academy

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Outtakes

Yes. I make mistakes ... rarely. http://www.flippingphysics.com

From playlist Miscellaneous

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Episode 5: Positive vs Normative

What's the difference between positive analysis and normative analysis? What is the role of each? "Episode 5: Positive vs Normative" by Dr. Mary J. McGlasson is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.

From playlist Microeconomics modules

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Using nonstandard natural numbers in Ramsey Theory - M. Di Nasso - Workshop 1 - CEB T1 2018

Mauro Di Nasso (Pisa) / 01.02.2018 In Ramsey Theory, ultrafilters often play an instrumental role. By means of nonstandard models, one can reduce those third-order objects (ultrafilters are sets of sets of natural numbers) to simple points. In this talk we present a nonstandard technique

From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields

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Lec 14 | MIT 16.885J Aircraft Systems Engineering, Fall 2005

Ground Operations - Launching the Shuttle View the complete course: http://ocw.mit.edu/16-885F05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 16.885J Aircraft Systems Engineering, Fall 2005

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What Is Narcissism?

Narcissism is the word we routinely use to describe someone self-satisfied and arrogant. But what do we really mean by the word – and are we applying it correctly? If you like our films, take a look at our shop (we ship worldwide): https://goo.gl/YfXSQO Join our mailing list: http://bit.ly

From playlist SELF

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22. Causality, Natural Computing, and Engineering Genomes

MIT 7.91J Foundations of Computational and Systems Biology, Spring 2014 View the complete course: http://ocw.mit.edu/7-91JS14 Instructor: George Church This guest lecture by Prof. George Church is on the topic of causality, in particular, how to use genomic data and the tools of natural c

From playlist MIT 7.91J Foundations of Computational and Systems Biology

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Standard and Nonstandard Comparisons of Relative Trace Formulas - Yiannis Sakellaridis

Yiannis Sakellaridis Rutgers, The State University of New Jersey March 1, 2013 The trace formula has been the most powerful and mainstream tool in automorphic forms for proving instances of Langlands functoriality, including character relations. Its generalization, the relative trace formu

From playlist Mathematics

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Alternate basis transformation matrix example | Linear Algebra | Khan Academy

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/linear-algebra/alternate-bases/change-of-basis/v/lin-alg-alternate-basis-tranformation-matrix-example Example of finding the transformation matrix for an alternate

From playlist Alternate coordinate systems (bases) | Linear Algebra | Khan Academy

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Nicholas Wolterstorff on Opposing Public Reason

Nicholas Wolterstorff, Emeritus Professor of Philosophical Theology at Yale Divinity School, discusses his opposition to the public reason position.

From playlist Faith and Globalization

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Category Theory 1.2: What is a category?

What is a Category?

From playlist Category Theory

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Two Nonstandard Infinite Geometric Series (visual proof)

My previous wordless Wednesday video showing the sum of the powers of 1/7 generated some interesting questions about using the same technique for nonstandard geometric series. Here we include a short, animated visual proof demonstrating the infinite sum of the powers of 2/7 and 3/11; from

From playlist Geometric Sums

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Find a Polynomial Given B-coordinates and a Nonstandard Basis

This video explains how to determine a polynomial given the B-coordinates and a nonstandard basis.

From playlist Transformations of General Vector Spaces

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Primordial Black Holes and Gravitational Waves In Non-Standard Cosmologies by Sukannya Bhattacharya

PROGRAM LESS TRAVELLED PATH OF DARK MATTER: AXIONS AND PRIMORDIAL BLACK HOLES (ONLINE) ORGANIZERS: Subinoy Das (IIA, Bangalore), Koushik Dutta (IISER, Kolkata / SINP, Kolkata), Raghavan Rangarajan (Ahmedabad University) and Vikram Rentala (IIT Bombay) DATE: 09 November 2020 to 13 Novemb

From playlist Less Travelled Path of Dark Matter: Axions and Primordial Black Holes (Online)

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Find the B-coordinates of a Vector Given Coordinates Relative to Standard Basis (R3)

This video explains how to find the standard basis coordinates of a vector given a nonstandard basis and nonstandard coordinates. https://mathispower4u.com

From playlist Vectors: Change of Basis

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Why There Will Never Be A World Without Stereotypes

Stereotyping, no matter how small or insignificant, can lead to prejudice and discrimination. But is it possible to avoid stereotyping?

From playlist Stereotypes: The Good, The Bad, & The Truthful

Related pages

Conservative extension | Philip J. Davis | Wilhelmus Luxemburg | Smooth infinitesimal analysis | Abraham Robinson | Paul Halmos | Elementary Calculus: An Infinitesimal Approach | L. E. J. Brouwer | Hyperreal number | Internal set theory | Law of excluded middle | Constructive nonstandard analysis | Nonstandard analysis | Dixmier trace | Influence of nonstandard analysis | Zermelo–Fraenkel set theory | Nonstandard calculus | Errett Bishop