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

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SUMMARY

Bertrand Russell's "Principia Mathematica" is a highly technical work that is often regarded as more of a historical document than a practical guide for modern mathematical logic. While some readers may appreciate its philosophical insights, many find the notation challenging and the content dense, making it less accessible for those not pursuing a career in logic. Alternatives such as Russell's "Principles of Mathematics" are recommended for those seeking a more approachable introduction to mathematical philosophy. Overall, potential readers should explore the text online before committing to a purchase.

PREREQUISITES
  • Understanding of basic mathematical concepts such as integration and differentiation.
  • Familiarity with the historical context of mathematical logic.
  • Knowledge of set theory and its implications in logic.
  • Ability to interpret complex mathematical notation.
NEXT STEPS
  • Read Bertrand Russell's "Principles of Mathematics" for a more accessible introduction to his ideas.
  • Explore online resources about the historical significance of "Principia Mathematica."
  • Research modern approaches to mathematical logic and their differences from Russell's work.
  • Investigate the notation used in "Principia Mathematica" to better understand its complexities.
USEFUL FOR

Students of philosophy, mathematics, and logic, particularly those interested in the historical development of mathematical thought and the philosophical underpinnings of logic.

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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