Logic and statistics

Statistical syllogism

A statistical syllogism (or proportional syllogism or direct inference) is a non-deductive syllogism. It argues, using inductive reasoning, from a generalization true for the most part to a particular case. (Wikipedia).

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Lecture06 Standard Deviation

The dispersion of data by means of the standard deviation.

From playlist Medical Statistics

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(PP 6.1) Multivariate Gaussian - definition

Introduction to the multivariate Gaussian (or multivariate Normal) distribution.

From playlist Probability Theory

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More Standard Deviation and Variance

Further explanations and examples of standard deviation and variance

From playlist Unit 1: Descriptive Statistics

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Statistics Lecture 5.2: A Study of Probability Distributions, Mean, and Standard Deviation

https://www.patreon.com/ProfessorLeonard Statistics Lecture 5.2: A Study of Probability Distributions, Mean, and Standard Deviation

From playlist Statistics (Full Length Videos)

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Mean v Median and the implications

Differences between the mean and median suggest the presence of outliers and/or the possible shape of a distribution

From playlist Unit 1: Descriptive Statistics

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Lecture01 Introduction to this course on medical statistics

A new course in medical statistics using widely available spreadsheet software.

From playlist Medical Statistics

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Political Ideology & Thinking || Psych Streams & Remote Office Hours w/ Dr. Swan

This video is the video on demand (VOD) from my Twitch livestream. There are no edits for length or flow, except for discussion before or after the relevant topics listed below. Topic for this stream: My recent research that focuses on the connection between political ideology and thinkin

From playlist Twitch Livestream VODs

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Statistics Lecture 3.3: Finding the Standard Deviation of a Data Set

https://www.patreon.com/ProfessorLeonard Statistics Lecture 3.3: Finding the Standard Deviation of a Data Set

From playlist Statistics (Full Length Videos)

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Aristotle's syllogisms revisited with the Algebra of Boole | MathFoundations 280 | N J Wildberger

We have another look at the syllogisms of Aristotle, now from the Algebra of Boole point of view. Two of his logical forms are quite different from the other two, and by restating the sylllogisms using modern Propositional Logic we can then convert exactly four of them into the Algebra of

From playlist Boole's Logic and Circuit Analysis

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Educ 151. Lec 02. Language and Literacy: Understanding Language, Literacy, and Thought, Part II

UCI Education 151: Language and Literacy (Fall 2011) Lec 02. Language and Literacy: Understanding Language, Literacy, and Thought, Part II View the complete course: http://ocw.uci.edu/courses/education_151_language_and_literacy.html Instructor: Penelope Collins License: Creative Commons C

From playlist Education 151: Language and Literacy

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Logic: The Structure of Reason

As a tool for characterizing rational thought, logic cuts across many philosophical disciplines and lies at the core of mathematics and computer science. Drawing on Aristotle’s Organon, Russell’s Principia Mathematica, and other central works, this program tracks the evolution of logic, be

From playlist Logic & Philosophy of Mathematics

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Formal Logic

This video functions as a brief introduction to many different topics in formal logic. Notes on the Images: I looked into the legality of using images for this video a good deal and I've come to the conclusion that there is nothing in this video which could remotely imply these images ar

From playlist Summer of Math Exposition 2 videos

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Truth and Validity // Lesson 23 [INTRODUCTORY LOGIC]

The fact that truth and validity are different (though related) concepts is one of the most difficult ideas for logic students to grasp. A valid syllogism can contain false statements. And true statements can often be found in invalid syllogisms. But the two concepts are neither necessary

From playlist Introductory Logic

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Statistics Lecture 5.2 Part 1

Statistics Lecture 5.2 Part 1: Probability Distributions, Mean, and Standard Deviation

From playlist Statistics Playlist 1

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Introduction to Statistics

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Introduction to Statistics - Quantitative Data versus Qualitative Data

From playlist Statistics

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Mood and Figure of Standard Categorical Syllogisms // Lessons 21 and 22 [INTRODUCTORY LOGIC]

Standard categorical syllogisms can be grouped together by two characteristics called mood and figure. Given a mood and figure, we should be able to build a schema (think, skeleton) of the syllogism, and eventually, tell whether it is valid or invalid. The mood of the syllogism has to do w

From playlist Introductory Logic

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The Logic of Aristotle

Gabriele Giannantoni explains the logic of Aristotle in the context of the history of logic in interview from 1990. These clips are from the Multimedia Encyclopedia of the Philosophical Sciences. The translation is my own. #Philosophy #Aristotle

From playlist Aristotle

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Testing Syllogisms by Counterexample // Lesson 24 [INTRODUCTORY LOGIC]

Although it can feel like there are infinitely many kinds of categorical syllogisms, in fact there are only 256, and of those, only 40 are valid. So how can we confirm which ones are valid and which ones are invalid, especially if we're not already familiar with the terms of the argument?

From playlist Introductory Logic

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Linear regression

Linear regression is used to compare sets or pairs of numerical data points. We use it to find a correlation between variables.

From playlist Learning medical statistics with python and Jupyter notebooks

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Inference Rules via the Algebra of Boole | MathFoundations 275 | N J Wildberger

We show how to introduce Inference Rules in Propositional Logic in the framework of the Algebra of Boole, which provides a cut and dried technology to easily establish all such rules. Prominent amongst these are Modus Ponens, Modus Tollens, Hypothetical Syllogism and Disjunctive Syllogism

From playlist Boole's Logic and Circuit Analysis

Related pages

Statistical inference | Accident (fallacy) | Converse accident | Reference class problem | Statistics | Fuzzy logic | Deductive reasoning | Inductive reasoning