13 people found this helpful

ByAlan U. Kenningtonon October 27, 2013

This reproduction by Merchant Books of the 1910 Principia Mathematica (Volume I) by Whitehead and Russell is very nicely printed. It's crisp and clear, with good binding which makes it a delight to turn the pages.

It is difficult to think of any other work in the mathematical foundations literature which has been so significant or influential in the development of the modern approach. Although the Whitehead/Russell theory of types has been abandoned in favour of the type-free Zermelo-Fraenkel and Neumann-Bernays-Gödel approaches, most aspects of the Whitehead/Russell approach have been incorporated into the modern literature.

The first half of Volume I presents mathematical logic, both propositional calculus and predicate calculus, and a theory of classes which is essentially equivalent to a set theory. The second half of Volume I presents some introductory concepts which are used in the first half of Volume II for cardinal arithmetic.

The notation of the Principia Mathematica is unfamiliar in some ways, but a large proportion of the modern conventions for notating logic and set theory have their historical origins in this book, which in turn obtained many notations from the works of Peano and Frege. The main obstacle for the modern reader might be the dot-notation. Unfortunately, this annoying dot-notation (which was based on Peano's 1889 dot-notation) was adopted by many authors during the 20th century. With a bit of effort, though, one starts to be able to quickly convert the logical formulas into modern parenthesis-notation.

After the Russell/Whitehead Principia Mathematica, no other work attempted to fully write out a derivation of the foundations of mathematics from the lowest levels of logic up to the theories of real numbers and series. Their bold claim that mathematics can be securely based on pure logic issued a challenge to later authors to continue and develop the logicism research program, which effectively achieved success by about 1970.

It is difficult to think of any other work in the mathematical foundations literature which has been so significant or influential in the development of the modern approach. Although the Whitehead/Russell theory of types has been abandoned in favour of the type-free Zermelo-Fraenkel and Neumann-Bernays-Gödel approaches, most aspects of the Whitehead/Russell approach have been incorporated into the modern literature.

The first half of Volume I presents mathematical logic, both propositional calculus and predicate calculus, and a theory of classes which is essentially equivalent to a set theory. The second half of Volume I presents some introductory concepts which are used in the first half of Volume II for cardinal arithmetic.

The notation of the Principia Mathematica is unfamiliar in some ways, but a large proportion of the modern conventions for notating logic and set theory have their historical origins in this book, which in turn obtained many notations from the works of Peano and Frege. The main obstacle for the modern reader might be the dot-notation. Unfortunately, this annoying dot-notation (which was based on Peano's 1889 dot-notation) was adopted by many authors during the 20th century. With a bit of effort, though, one starts to be able to quickly convert the logical formulas into modern parenthesis-notation.

After the Russell/Whitehead Principia Mathematica, no other work attempted to fully write out a derivation of the foundations of mathematics from the lowest levels of logic up to the theories of real numbers and series. Their bold claim that mathematics can be securely based on pure logic issued a challenge to later authors to continue and develop the logicism research program, which effectively achieved success by about 1970.

One person found this helpful

ByBenjamin Rumsonon June 17, 2016

Probably sufficient for genius tastes, but way too complex for this brain. All symbolic in content, and completely unreadable!

ByAlan U. Kenningtonon October 27, 2013

This reproduction by Merchant Books of the 1910 Principia Mathematica (Volume I) by Whitehead and Russell is very nicely printed. It's crisp and clear, with good binding which makes it a delight to turn the pages.

It is difficult to think of any other work in the mathematical foundations literature which has been so significant or influential in the development of the modern approach. Although the Whitehead/Russell theory of types has been abandoned in favour of the type-free Zermelo-Fraenkel and Neumann-Bernays-Gödel approaches, most aspects of the Whitehead/Russell approach have been incorporated into the modern literature.

The first half of Volume I presents mathematical logic, both propositional calculus and predicate calculus, and a theory of classes which is essentially equivalent to a set theory. The second half of Volume I presents some introductory concepts which are used in the first half of Volume II for cardinal arithmetic.

The notation of the Principia Mathematica is unfamiliar in some ways, but a large proportion of the modern conventions for notating logic and set theory have their historical origins in this book, which in turn obtained many notations from the works of Peano and Frege. The main obstacle for the modern reader might be the dot-notation. Unfortunately, this annoying dot-notation (which was based on Peano's 1889 dot-notation) was adopted by many authors during the 20th century. With a bit of effort, though, one starts to be able to quickly convert the logical formulas into modern parenthesis-notation.

After the Russell/Whitehead Principia Mathematica, no other work attempted to fully write out a derivation of the foundations of mathematics from the lowest levels of logic up to the theories of real numbers and series. Their bold claim that mathematics can be securely based on pure logic issued a challenge to later authors to continue and develop the logicism research program, which effectively achieved success by about 1970.

It is difficult to think of any other work in the mathematical foundations literature which has been so significant or influential in the development of the modern approach. Although the Whitehead/Russell theory of types has been abandoned in favour of the type-free Zermelo-Fraenkel and Neumann-Bernays-Gödel approaches, most aspects of the Whitehead/Russell approach have been incorporated into the modern literature.

The first half of Volume I presents mathematical logic, both propositional calculus and predicate calculus, and a theory of classes which is essentially equivalent to a set theory. The second half of Volume I presents some introductory concepts which are used in the first half of Volume II for cardinal arithmetic.

The notation of the Principia Mathematica is unfamiliar in some ways, but a large proportion of the modern conventions for notating logic and set theory have their historical origins in this book, which in turn obtained many notations from the works of Peano and Frege. The main obstacle for the modern reader might be the dot-notation. Unfortunately, this annoying dot-notation (which was based on Peano's 1889 dot-notation) was adopted by many authors during the 20th century. With a bit of effort, though, one starts to be able to quickly convert the logical formulas into modern parenthesis-notation.

After the Russell/Whitehead Principia Mathematica, no other work attempted to fully write out a derivation of the foundations of mathematics from the lowest levels of logic up to the theories of real numbers and series. Their bold claim that mathematics can be securely based on pure logic issued a challenge to later authors to continue and develop the logicism research program, which effectively achieved success by about 1970.

ByAmazon Customeron October 7, 2016

This item met my expectations in that it is a historical peice of mathematics and allowed me to gain a greater appreciation for early 20th century endeavors into the foundations of mathematics. The book, however, is not a pinacle of perfection. There are a couple a corrections to the text in the book, visible as handwritten corrections that were included in the printing, with the earliest correction of this kind found in the first chapter at the discussion of referents and relata. I would recommend this book to any true lover of logic, but would not recommend this book to anyone who firmly dislikes mathematics.

0Comment*|*
5 people found this helpful.
Was this review helpful to you?YesNoReport abuse#### There was a problem loading comments right now. Please try again later.

Comment

Insert product link

SelectWhat's this?# What are product links?

Paste the product's web address below:

Product not found. Only products offered on Amazon can be linked.

Select

In the text of your review, you can link directly to any product offered on Amazon.com. To insert a product link, follow these steps:

1. Find the product you want to reference on Amazon.com

2. Copy the web address of the product

3. Click Insert product link

4. Paste the web address in the box

5. Click Select

6. Selecting the item displayed will insert text that looks like this:
[[ASIN:014312854XHamlet (The Pelican Shakespeare)]]

7. When your review is displayed on Amazon.com, this text will be transformed into a hyperlink, like so:Hamlet (The Pelican Shakespeare)

You are limited to 10 product links in your review, and your link text may not be longer than 256 characters.

Please write at least one word

You must purchase at least one item from Amazon to post a comment

A problem occurred while submitting your comment. Please try again later.

ByMarcon February 10, 2012

This book is often put on the shelf as a mathematical classic to be shown and not read. However, this book is more than just a historical curiosity, it is actually a great practical study in propositional logic.

The first volume is the rosetta stone of what might look like some arcane language, but it is actually both a practical and philosphical discussion of how to logically approach mathematics.

While their text is not casual, it is conversational as they talk through the process. Their discussion illustrates common fallacies and serve as instruction to the student. It is by no means pleasure reading, but if you really read the text, you will learn alot. At least I am.

The first volume is the rosetta stone of what might look like some arcane language, but it is actually both a practical and philosphical discussion of how to logically approach mathematics.

While their text is not casual, it is conversational as they talk through the process. Their discussion illustrates common fallacies and serve as instruction to the student. It is by no means pleasure reading, but if you really read the text, you will learn alot. At least I am.

0Comment*|*
33 people found this helpful.
Was this review helpful to you?YesNoReport abuse#### There was a problem loading comments right now. Please try again later.

Comment

Insert product link

SelectWhat's this?# What are product links?

Paste the product's web address below:

Product not found. Only products offered on Amazon can be linked.

Select

In the text of your review, you can link directly to any product offered on Amazon.com. To insert a product link, follow these steps:

1. Find the product you want to reference on Amazon.com

2. Copy the web address of the product

3. Click Insert product link

4. Paste the web address in the box

5. Click Select

6. Selecting the item displayed will insert text that looks like this:
[[ASIN:014312854XHamlet (The Pelican Shakespeare)]]

7. When your review is displayed on Amazon.com, this text will be transformed into a hyperlink, like so:Hamlet (The Pelican Shakespeare)

You are limited to 10 product links in your review, and your link text may not be longer than 256 characters.

Please write at least one word

You must purchase at least one item from Amazon to post a comment

A problem occurred while submitting your comment. Please try again later.

ByJohn Batchleron May 5, 2017

Great book for understanding Egyptian hieroglyphics symbols. Up date later

0Comment*|*Was this review helpful to you?YesNoReport abuse#### There was a problem loading comments right now. Please try again later.

Comment

Insert product link

SelectWhat's this?# What are product links?

Paste the product's web address below:

Product not found. Only products offered on Amazon can be linked.

Select

In the text of your review, you can link directly to any product offered on Amazon.com. To insert a product link, follow these steps:

1. Find the product you want to reference on Amazon.com

2. Copy the web address of the product

3. Click Insert product link

4. Paste the web address in the box

5. Click Select

6. Selecting the item displayed will insert text that looks like this:
[[ASIN:014312854XHamlet (The Pelican Shakespeare)]]

7. When your review is displayed on Amazon.com, this text will be transformed into a hyperlink, like so:Hamlet (The Pelican Shakespeare)

You are limited to 10 product links in your review, and your link text may not be longer than 256 characters.

Please write at least one word

You must purchase at least one item from Amazon to post a comment

A problem occurred while submitting your comment. Please try again later.

ByGiuseppe Tullion February 11, 2010

Just to note that this is the 1910-13 Edition, so you're missing the introduction to the 1927 Second Edition, which can be found though in The Basic Writings of Bertrand Russell (Routledge Classics), and 2 new appendixes: Appendix A replacing *9 and an all-new Appendix C.

0Comment*|*
73 people found this helpful.
Was this review helpful to you?YesNoReport abuseInsert product link

SelectWhat's this?# What are product links?

In the text of your review, you can link directly to any product offered on Amazon.com. To insert a product link, follow these steps:6. Selecting the item displayed will insert text that looks like this:
[[ASIN:014312854XHamlet (The Pelican Shakespeare)]]
7. When your review is displayed on Amazon.com, this text will be transformed into a hyperlink, like so:Hamlet (The Pelican Shakespeare)You are limited to 10 product links in your review, and your link text may not be longer than 256 characters.

#### There was a problem loading comments right now. Please try again later.

Comment

Paste the product's web address below:

Product not found. Only products offered on Amazon can be linked.

Select

1. Find the product you want to reference on Amazon.com

2. Copy the web address of the product

3. Click Insert product link

4. Paste the web address in the box

5. Click Select

Please write at least one word

You must purchase at least one item from Amazon to post a comment

A problem occurred while submitting your comment. Please try again later.

ByKatie Belleon February 10, 2014

I bought this as a gift for my husband who has wanted this set for a long time and we were both surprised and thrilled with the quality. I was worried when other reviewers has stated that the print was somewhat smudged or looked scanned. However, at least in our set, we did not experience this. Well worth the price!

0Comment*|*
3 people found this helpful.
Was this review helpful to you?YesNoReport abuseInsert product link

SelectWhat's this?# What are product links?

In the text of your review, you can link directly to any product offered on Amazon.com. To insert a product link, follow these steps:6. Selecting the item displayed will insert text that looks like this:
[[ASIN:014312854XHamlet (The Pelican Shakespeare)]]
7. When your review is displayed on Amazon.com, this text will be transformed into a hyperlink, like so:Hamlet (The Pelican Shakespeare)You are limited to 10 product links in your review, and your link text may not be longer than 256 characters.

#### There was a problem loading comments right now. Please try again later.

Comment

Paste the product's web address below:

Product not found. Only products offered on Amazon can be linked.

Select

1. Find the product you want to reference on Amazon.com

2. Copy the web address of the product

3. Click Insert product link

4. Paste the web address in the box

5. Click Select

Please write at least one word

You must purchase at least one item from Amazon to post a comment

A problem occurred while submitting your comment. Please try again later.

ByPatti R.on October 26, 2015

Love math

0Comment*|*
2 people found this helpful.
Was this review helpful to you?YesNoReport abuseInsert product link

SelectWhat's this?# What are product links?

In the text of your review, you can link directly to any product offered on Amazon.com. To insert a product link, follow these steps:6. Selecting the item displayed will insert text that looks like this:
[[ASIN:014312854XHamlet (The Pelican Shakespeare)]]
7. When your review is displayed on Amazon.com, this text will be transformed into a hyperlink, like so:Hamlet (The Pelican Shakespeare)You are limited to 10 product links in your review, and your link text may not be longer than 256 characters.

#### There was a problem loading comments right now. Please try again later.

Comment

Paste the product's web address below:

Product not found. Only products offered on Amazon can be linked.

Select

1. Find the product you want to reference on Amazon.com

2. Copy the web address of the product

3. Click Insert product link

4. Paste the web address in the box

5. Click Select

Please write at least one word

You must purchase at least one item from Amazon to post a comment

A problem occurred while submitting your comment. Please try again later.

ByN. Coppedgeon February 2, 2015

this is the text to buy. However, from a more pedestrian point of view, I found that some clarifications were lacking. The kinds of clarifications that made some people wonder if Bertrand Russell indeed knew advanced mathematics at all (the book is also by Alfred North Whitehead, who was a mathematician, but nonetheless).

Some of the criticisms that have been aimed towards the text actually refer to the wrong edition, as I have heard. This is the correct edition, and has a lot more genuine content than any of the other editions that I know about.

This book is heavy on the logic, and I guess, heavy on the math as well (from a logician's point of view). But it is not an introductory text, and may require undo specialism to support its relevance to mathematics. Some of the criticisms are valid, whereas others fail to realize the book's very actual complexity.

Some of the criticisms that have been aimed towards the text actually refer to the wrong edition, as I have heard. This is the correct edition, and has a lot more genuine content than any of the other editions that I know about.

This book is heavy on the logic, and I guess, heavy on the math as well (from a logician's point of view). But it is not an introductory text, and may require undo specialism to support its relevance to mathematics. Some of the criticisms are valid, whereas others fail to realize the book's very actual complexity.

0Comment*|*
3 people found this helpful.
Was this review helpful to you?YesNoReport abuseInsert product link

SelectWhat's this?# What are product links?

In the text of your review, you can link directly to any product offered on Amazon.com. To insert a product link, follow these steps:6. Selecting the item displayed will insert text that looks like this:
[[ASIN:014312854XHamlet (The Pelican Shakespeare)]]
7. When your review is displayed on Amazon.com, this text will be transformed into a hyperlink, like so:Hamlet (The Pelican Shakespeare)You are limited to 10 product links in your review, and your link text may not be longer than 256 characters.

#### There was a problem loading comments right now. Please try again later.

Comment

Paste the product's web address below:

Product not found. Only products offered on Amazon can be linked.

Select

1. Find the product you want to reference on Amazon.com

2. Copy the web address of the product

3. Click Insert product link

4. Paste the web address in the box

5. Click Select

Please write at least one word

You must purchase at least one item from Amazon to post a comment

A problem occurred while submitting your comment. Please try again later.

ByPDXBuyson May 15, 2015

Takes some work read it. But the reward is worth it.

0Comment*|*
2 people found this helpful.
Was this review helpful to you?YesNoReport abuseInsert product link

SelectWhat's this?# What are product links?

In the text of your review, you can link directly to any product offered on Amazon.com. To insert a product link, follow these steps:6. Selecting the item displayed will insert text that looks like this:
[[ASIN:014312854XHamlet (The Pelican Shakespeare)]]
7. When your review is displayed on Amazon.com, this text will be transformed into a hyperlink, like so:Hamlet (The Pelican Shakespeare)You are limited to 10 product links in your review, and your link text may not be longer than 256 characters.

#### There was a problem loading comments right now. Please try again later.

Comment

Paste the product's web address below:

Product not found. Only products offered on Amazon can be linked.

Select

1. Find the product you want to reference on Amazon.com

2. Copy the web address of the product

3. Click Insert product link

4. Paste the web address in the box

5. Click Select

Please write at least one word

You must purchase at least one item from Amazon to post a comment

A problem occurred while submitting your comment. Please try again later.

ByR. Abramovitzon May 19, 2009

Principia Mathematica is a landmark book on the elements of mathematics. This edition is the best price I have seen in decades.

Both Whitehead and Russell are known for their insights into philosophy and mathematics. This book, although a mathematics book, is based upon their philosophy of how the universe works. The basic assumption of this book is that symbolic logic can be used to describe the universe. From that starting point they develop the elements of modern mathematics.

This book is meant for those of us nerds who want to understand why mathematics works and how it relates to a philosophy of the universe. Note that this book is heavy on mathematical symbols (which are explained). It can be slow reading, but Whitehead and Russell's insights are stunning.

Both Whitehead and Russell are known for their insights into philosophy and mathematics. This book, although a mathematics book, is based upon their philosophy of how the universe works. The basic assumption of this book is that symbolic logic can be used to describe the universe. From that starting point they develop the elements of modern mathematics.

This book is meant for those of us nerds who want to understand why mathematics works and how it relates to a philosophy of the universe. Note that this book is heavy on mathematical symbols (which are explained). It can be slow reading, but Whitehead and Russell's insights are stunning.

33 comments*|*
62 people found this helpful.
Was this review helpful to you?YesNoReport abuseInsert product link

SelectWhat's this?# What are product links?

In the text of your review, you can link directly to any product offered on Amazon.com. To insert a product link, follow these steps:6. Selecting the item displayed will insert text that looks like this:
[[ASIN:014312854XHamlet (The Pelican Shakespeare)]]
7. When your review is displayed on Amazon.com, this text will be transformed into a hyperlink, like so:Hamlet (The Pelican Shakespeare)You are limited to 10 product links in your review, and your link text may not be longer than 256 characters.

#### There was a problem loading comments right now. Please try again later.

Comment

Paste the product's web address below:

Product not found. Only products offered on Amazon can be linked.

Select

1. Find the product you want to reference on Amazon.com

2. Copy the web address of the product

3. Click Insert product link

4. Paste the web address in the box

5. Click Select

Please write at least one word

You must purchase at least one item from Amazon to post a comment

A problem occurred while submitting your comment. Please try again later.

There's a problem loading this menu right now.

Get fast, free shipping with Amazon Prime

Prime members enjoy FREE Two-Day Shipping and exclusive access to music, movies, TV shows, original audio series, and Kindle books.

Back to top

Get to Know Us | Make Money with Us | Amazon Payment Products | Let Us Help You |

- Conditions of Use
- Privacy Notice
- Interest-Based Ads
- © 1996-2017, Amazon.com, Inc. or its affiliates

|13 people found this helpful. Was this review helpful to you?YesNoReport abuse