Deductive reasoning

Transcendental arguments

A transcendental argument is a deductive philosophical argument which takes a manifest feature of experience as granted, and articulates what must be the case so that such experiences are possible. Transcendental arguments may have additional standards of justification that are more demanding than those of traditional deductive arguments. (Wikipedia).

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6 Concepts, Judgment & Deduction of the Categories - Kant's Critique of Pure Reason (Dan Robinson)

Dan Robinson gives the 6th lecture in a series of 8 on Immanuel Kant's Critique of Pure Reason. All 8 lectures: https://www.youtube.com/playlist?list=PLhP9EhPApKE_OdgqNgL0AJX9-gwr4tmLw Empiricists have no explanation for how we move from "mere forms of thought" to objective concepts. The

From playlist Kant's Critique of Pure Reason - Dan Robinson

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Transcendental Functions 9 Proof of the First Derivative of e to the x.mov

Proof of the first derivative of the function e to the power x.

From playlist Transcendental Functions

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"Transcendental Number Theory: Recent Results and Open Problem​s" by Prof. Michel Waldschmidt​

This lecture will be devoted to a survey of transcendental number theory, including some history, the state of the art and some of the main conjectures.

From playlist Number Theory Research Unit at CAMS - AUB

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3 Space, Time & the "Analogies of Experiences" - Kant's Critique of Pure Reason (Dan Robinson)

Dan Robinson gives the 3rd lecture in a series of 8 on Immanuel Kant's Critique of Pure Reason. All 8 lectures: https://www.youtube.com/playlist?list=PLhP9EhPApKE_OdgqNgL0AJX9-gwr4tmLw Kant's so-called "Copernican" revolution in metaphysics begins with the recognition of the observer's c

From playlist Kant's Critique of Pure Reason - Dan Robinson

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Algebraic numbers are countable

Transcendental numbers are uncountable, algebraic numbers are countable. There are two kinds of real numbers: The algebraic numbers (like 1, 3/4, sqrt(2)) and the transcendental numbers (like pi or e). In this video, I show that the algebraic numbers are countable, which means that there

From playlist Real Numbers

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5 Idealisms & their Refutations - Kant's Critique of Pure Reason (Dan Robinson)

Dan Robinson gives the 5th lecture in a series of 8 on Immanuel Kant's Critique of Pure Reason. All 8 lectures: https://www.youtube.com/playlist?list=PLhP9EhPApKE_OdgqNgL0AJX9-gwr4tmLw The very possibility of self-awareness (an "inner sense" with content) requires an awareness of an exte

From playlist Kant's Critique of Pure Reason - Dan Robinson

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7 The "Self" & Synthetic Unity of Apperception - Kant's Critique of Pure Reason (Dan Robinson)

Dan Robinson gives the 7th lecture in a series of 8 on Immanuel Kant's Critique of Pure Reason. All 8 lectures: https://www.youtube.com/playlist?list=PLhP9EhPApKE_OdgqNgL0AJX9-gwr4tmLw Kant argues that: "The synthetic unity of consciousness is... an objective condition of all knowledge.

From playlist Kant's Critique of Pure Reason - Dan Robinson

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Kant's Copernican Turn - Kant's Project (Bernstein - 2007)

J.M. Bernstein discusses Kant's overall project through his famous Copernican Turn. This is from the first lecture of a course on Kant's Third Critique (The Critique of Judgment) as part of the so-called Bernstein Tapes. I thought it provided a good introduction to Kant. Note, the audio ha

From playlist Kant & Hegel's Philosophy (J.M. Bernstein - 2007)

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Transcendental Functions 1 Introduction.mov

Transcendental Functions in Calculus.

From playlist Transcendental Functions

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Transcendental numbers powered by Cantor's infinities

In today's video the Mathologer sets out to give an introduction to the notoriously hard topic of transcendental numbers that is both in depth and accessible to anybody with a bit of common sense. Find out how Georg Cantor's infinities can be used in a very simple and off the beaten track

From playlist Recent videos

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Functional transcendence and arithmetic applications – Jacob Tsimerman – ICM2018

Number Theory Invited Lecture 3.13 Functional transcendence and arithmetic applications Jacob Tsimerman Abstract: We survey recent results in functional transcendence theory, and give arithmetic applications to the André–Oort conjecture and other unlikely-intersection problems. © Int

From playlist Number Theory

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Kirill Lazebnik: Transcendental Julia sets of minimal Hausdorff dimension

HYBRID EVENT Recorded during the meeting "Advancing Bridges in Complex Dynamics" the September 21, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM

From playlist Analysis and its Applications

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