Worth it or not?: Bertrand Russell's Principia Mathematica

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Discussion Overview

The discussion revolves around the value of Bertrand Russell's "Principia Mathematica" for understanding mathematical concepts, particularly from the perspective of a physics undergraduate. Participants explore whether the book is worth purchasing and its relevance to modern mathematical logic and philosophy.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Historical

Main Points Raised

  • Some participants express that "Principia Mathematica" is overwhelmingly technical and may not be suitable for those seeking to understand modern mathematical concepts.
  • Others argue that while Russell's work is significant, it may serve better as a historical document rather than a practical guide for contemporary mathematics or logic.
  • A few participants mention the difficulty of the notation in the text, suggesting it may not be worth the time unless one is specifically interested in logic.
  • One participant humorously critiques the book's content, suggesting that it contains lengthy and convoluted arguments before arriving at simple conclusions.
  • Some suggest alternative readings, such as Russell's "Principles of Mathematics," which may provide philosophical insights without the complex notation found in "Principia Mathematica."

Areas of Agreement / Disagreement

Participants generally do not reach a consensus on the value of "Principia Mathematica." There are multiple competing views regarding its relevance, accessibility, and utility for understanding mathematical concepts.

Contextual Notes

Some participants highlight the limitations of the book in teaching modern approaches to mathematics and logic, noting that it does not use contemporary notation. There is also mention of the book's historical importance versus its practical applicability.

dlivingston
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Worth it or not?: Bertrand Russell's "Principia Mathematica"

Evening,

As a physics undergrad, I feel that my understanding of mathematics is lacking – not in terms of how to do something, but in terms of why you'd do something. For example, why take the integral of Schrödinger's Equation? Why not derive it? Why derive velocity to find acceleration? (These are examples so you can see where I'm coming from)

So because of this, I'm interested in purchasing Principia Mathematica by one of my favorite philosophers, Bertrand Russell. Is it a worthy purchase? Will it help me understand the concepts, or is there anyone book you recommend?

Thanks for your help,
Daniel
 
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dlivingston said:
Evening,

As a physics undergrad, I feel that my understanding of mathematics is lacking – not in terms of how to do something, but in terms of why you'd do something. For example, why take the integral of Schrödinger's Equation? Why not derive it? Why derive velocity to find acceleration? (These are examples so you can see where I'm coming from)

So because of this, I'm interested in purchasing Principia Mathematica by one of my favorite philosophers, Bertrand Russell. Is it a worthy purchase? Will it help me understand the concepts, or is there anyone book you recommend?

Thanks for your help,
Daniel



I think Bertrand Russell is one of the greatest minds of the last two centuries and all his books are worth reading

even more than once, but his Principia is a very, overwhelmingly technical book. I don't think there are lots of people

who read it completely. You better check first what it is about before you buy it to read it, though I guess

it could be an important book for consultations for logicians.

DonAntonio
 


Principia Mathematica could be read as a historial document, in the same manner that you could read Newton's Principia as a historial document in physics. Reading Newton's original work won't teach the modern approaches to classical phyics and it doesn't use modern notation. Reading Principia Mathematica won't teach you the modern approaches to mathematical logic and it doesn't use modern notation.
 


I tried to read the first volume, the notation there is really hard to understand.

I don't think it's worth time spent, unless you want to become a logician, and even then not every logician has read these three gigantic volumes, I guess most logicians didn't read these volumes.
 


MathematicalPhysicist said:
I tried to read the first volume, the notation there is really hard to understand.

I don't think it's worth time spent, unless you want to become a logician, and even then not every logician has read these three gigantic volumes, I guess most logicians didn't read these volumes.

even logicians don't read this stuff.. it's mostly of historical importance at this point.
 


Its a great buy, and if you believe that, then I have a few thousand pages of class notes to offer you at a dollar a page.

To be honest, there do exist people who think that book is worth reading.I do not personally know any of them.Lets put it this way. DO NOT spend one cent on that book until going to the library or online and looking at it for a while.I did that once and discovered that after a hundred pages or more of turgid nonsense they finally concluded something like 1+1 = 2.So to me that book is just absurd. But I am a mathematician, not a philosopher or logician.
 


The more rigid the foundation, the easier it is to break.

I don't know anything about Principia except that the author attempts to build everything from a rigid logic and set theory frame work and the entire work will come crashing down if an inconsistency is found.

Considering this I think the whole thing is kind of pointless. I think intuition as to why 1 + 1 = 2 is far more valuable then constructing the abstract mathematical object of 1 and 2 from it.
 

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