Formal fallacies

Infinite regress

An infinite regress is an infinite series of entities governed by a recursive principle that determines how each entity in the series depends on or is produced by its predecessor. In the epistemic regress, for example, a belief is justified because it is based on another belief that is justified. But this other belief is itself in need of one more justified belief for itself to be justified and so on. An infinite regress argument is an argument against a theory based on the fact that this theory leads to an infinite regress. For such an argument to be successful, it has to demonstrate not just that the theory in question entails an infinite regress but also that this regress is vicious. There are different ways in which a regress can be vicious. The most serious form of viciousness involves a contradiction in the form of metaphysical impossibility. Other forms occur when the infinite regress is responsible for the theory in question being implausible or for its failure to solve the problem it was formulated to solve. Traditionally, it was often assumed without much argument that each infinite regress is vicious but this assumption has been put into question in contemporary philosophy. While some philosophers have explicitly defended theories with infinite regresses, the more common strategy has been to reformulate the theory in question in a way that avoids the regress. One such strategy is foundationalism, which posits that there is a first element in the series from which all the other elements arise but which is not itself explained this way. Another way is coherentism, which is based on a holistic explanation that usually sees the entities in question not as a linear series but as an interconnected network. Infinite regress arguments have been made in various areas of philosophy. Famous examples include the cosmological argument, Bradley's regress and regress arguments in epistemology. (Wikipedia).

Video thumbnail

Infinite Limits With Equal Exponents (Calculus)

#Calculus #Math #Engineering #tiktok #NicholasGKK #shorts

From playlist Calculus

Video thumbnail

Epsilon delta limit (Example 3): Infinite limit at a point

This is the continuation of the epsilon-delta series! You can find Examples 1 and 2 on blackpenredpen's channel. Here I use an epsilon-delta argument to calculate an infinite limit, and at the same time I'm showing you how to calculate a right-hand-side limit. Enjoy!

From playlist Calculus

Video thumbnail

Introduction to Infinite Limits in Calculus 1

Introduction to Infinite Limits in Calculus 1

From playlist Calculus 1 Exam 1 Playlist

Video thumbnail

Limits At Infinity

http://mathispower4u.wordpress.com/

From playlist Limits

Video thumbnail

The Limit Does NOT Exist (Limit Example 4)

Epsilon Definition of a Limit In this video, I illustrate the epsilon-N definition of a limit by showing that the limit of (-1)^n as n goes to infinity does NOT exist. The method I present is more generally useful to show that a limit does not exist. Other examples of limits can be seen

From playlist Sequences

Video thumbnail

Continuity using Limits

http://mathispower4u.wordpress.com/

From playlist Continuity Using Limits

Video thumbnail

The Limit Definition of Continuity - Making Sense of the Definition

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! The Limit Definition of Continuity - Making Sense of the Definition. In this video, I just try to shed some light on the limit definition of continuity and hop

From playlist Limits

Video thumbnail

Infinite Series: The Alternating Series Test

This video provides an examples of how to apply the alternating series test to determine if a infinite series is convergent or divergent. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com

From playlist Infinite Series

Video thumbnail

Infinite Hypothesis Set - Data Science

In this video, I walk you through the concept of infinite hypotheses and we use linear regression to properly understand it. We also learn that we can learn over the set of infinite hypotheses. Following this, we go over a rule of thumb that will help use make learning decisions. Finally,

From playlist Introduction to Data Science - Foundations

Video thumbnail

Stanford CS229: Machine Learning | Summer 2019 | Lecture 5 - Perceptron and Logistic Regression

For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3Eb7jw6 Anand Avati Computer Science, PhD To follow along with the course schedule and syllabus, visit: http://cs229.stanford.edu/syllabus-summer2019.html

From playlist Stanford CS229: Machine Learning Course | Summer 2019 (Anand Avati)

Video thumbnail

Stanford CS229: Machine Learning | Summer 2019 | Lecture 8 - Kernel Methods & Support Vector Machine

For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3DYVYzo Anand Avati Computer Science, PhD To follow along with the course schedule and syllabus, visit: http://cs229.stanford.edu/syllabus-summer2019.html

From playlist Stanford CS229: Machine Learning Course | Summer 2019 (Anand Avati)

Video thumbnail

Aquinas & the Cosmological Arguments: Crash Course Philosophy #10

Our unit on the philosophy of religion and the existence of god continues with Thomas Aquinas. Today, we consider his first four arguments: the cosmological arguments. -- Images and video via VideoBlocks or Wikimedia Commons, licensed under Creative Commons by 4.0: https://creativecommon

From playlist Philosophy

Video thumbnail

Stanford CS229: Machine Learning | Summer 2019 | Lecture 23 - Course Recap and Wrap Up

For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3B6WitS Anand Avati Computer Science, PhD To follow along with the course schedule and syllabus, visit: http://cs229.stanford.edu/syllabus-summer2019.html

From playlist Stanford CS229: Machine Learning Course | Summer 2019 (Anand Avati)

Video thumbnail

Statistical Rethinking 2022 Lecture 16 - Gaussian Processes

Slides and other course materials: https://github.com/rmcelreath/stat_rethinking_2022 Intro: https://www.youtube.com/watch?v=uYNzqgU7na4 Music: https://www.youtube.com/watch?v=kXuasY8pDpA Music: https://www.youtube.com/watch?v=eTtTB0nZdL0 Pause: https://www.youtube.com/watch?v=pxPdsqrQByM

From playlist Statistical Rethinking 2022

Video thumbnail

ML Tutorial: Gaussian Processes (Richard Turner)

Machine Learning Tutorial at Imperial College London: Gaussian Processes Richard Turner (University of Cambridge) November 23, 2016

From playlist Machine Learning Tutorials

Video thumbnail

A Defense of Classical Theology (Part 1): The New Atheism and the Cosmological Arguments

In part 1, I will go over the major misconceptions of the cosmological arguments promulgated by the likes of popular atheists such as Daniel Dennett, Sam Harris, Christopher Hitchens, and Richard Dawkins. We’ll conclude that their objections, which are also the most common ones in popular

From playlist Theology

Video thumbnail

Convergent sequences are bounded

Convergent Sequences are Bounded In this video, I show that if a sequence is convergent, then it must be bounded, that is some part of it doesn't go to infinity. This is an important result that is used over and over again in analysis. Enjoy! Other examples of limits can be seen in the

From playlist Sequences

Video thumbnail

Singular Learning Theory - Seminar 4 - From analytic to algebraic I

This seminar series is an introduction to Watanabe's Singular Learning Theory, a theory about algebraic geometry and statistical learning theory. In this seminar Spencer Wong gives the first of a series of talks about how the analytic function at the heart of singular learning theory (the

From playlist Metauni

Related pages

Bayesian epistemology | Droste effect | Zeno's paradoxes | Antecedent-contained deletion | Well-founded relation | Fractal | Peano axioms | Contradiction | Recursion