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).
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
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
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
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
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
Yes. I make mistakes ... rarely. http://www.flippingphysics.com
From playlist Miscellaneous
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
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
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
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
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
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
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
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
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
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
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)
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
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