Introduction to Arithmetic by. Nicomachus of Gerasa. Joseph Muscat last revised 15 Jul Book 1. 1. The ancients defined philosophy as the love of wisdom. Reviews. Nicomachus of Gerasa. – Introduction to Arithmetic. Translated into English by MARTIN LUTHER D’OOGE. With studies in Greek. Arithmetic by FRANK. Introduction to Arithmetic has 28 ratings and 11 reviews. Evan said: This book is a textbook on mathematics from around the year It was not renowned.
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Lists with This Book. Sep 24, Evan Leach added it Shelves: This book is a textbook on mathematics from around the year Ijtroduction was not renowned for its originality – rather, the book was famous in antiquity and in the middle ages for being a useful primer covering the mathematical knowledge of its time. I am no mathlete, and I’ll admit some of the esoteric concepts and convoluted proofs that Nicomachus throws out there made my eyes glaze over.
For me, the more interesting aspects of this book concerned Nicomachus’ philosophy. Nicomachus was a Neo-Pythago This book is a textbook introductlon mathematics from around the year Nicomachus was a Neo-Pythagorean who embraced a mystical, symbolism-heavy view of numbers and mathematics.
Most of his thoughts about philosophy are outside the scope of this book, but the Introduction will occasionally allude to them. Nicomachus subscribed to the Platonic idea of eternal forms, with the wrinkle that numbers are a superior kind ariithmetic form out of which the other forms are made and under which they are classified. Numbers are the highest forms and the properties seen primarily in them are also the essential properties of things in the world, conferred upon them by number.
Introduction to Arithmetic – Wikipedia
This philosophy led its practitioners to search for all kinds of meaning in numbers. They believed that through mathematical proofs, they could uncover universal “truths” – the number seven was associated with the leader of the universe, odd numbers were considered male and even numbers female, etc. This attitude towards mathematics persisted for centuries, at least among certain factions, but frankly it is hard for me to really grasp the rationale behind it. To modern minds, all of the arihhmetic and energy spent on “proving” these mystical numerological proofs seems pointless.
This book gave me a little bit of insight into how Nicomachus and the thinkers who followed in his footsteps thought about numbers, which was interesting at times. But Nicimachus have no idea who I introdhction recommend this to, other than specialists interested in the history of mathematics and even then, this probably takes a distant backseat to Euclid. I don’t know how inttoduction even begin to rate this one, so I’m just going to give it a pass.
A strange little book that opens a window onto an even stranger way of viewing the universe. Mar 04, Tyler rated it it was amazing. This book was not particularly difficult, but it was just All of the different properties of numbers and even some of how they apply to music were expounded in this fine piece of Greek introductkon.
If you are interested even remotely in the mystical, Pythagorean properties of numbers, or even a little bit in just arithmetic in general, then this book is definitely for you.
As opposed to its name ‘Introduction to Arithmetic’, you don’t really read this if you’re Introductlon. You would read this after you’ve read Timaeus by Plato. It’s THAT kind of book. I honestly suggest you do, too, considering this book references Plato constantly.
It’s also nice to be familiar with a few Euclidean definitions. Overall, beautifully done work of art. The whole book ends with four numbers perfectly exemplifying the Arithmetic, Geometric, and Harmonic ratios: Very well done, nice work of genius right here.
View all 3 comments. May 18, JP rated it really liked it. He flourished around a. Much of the focus is on the various categories — odd, even, perfect, superlative, deficient, prime, etc. There are quite a few orders found within a variety of series. All of this tied back to philosophy as the early mathematicians made so many connections. Perhaps not since that time has anyone thought in such away about multiple-dimensions and dualism.
May 19, Michael rated it liked it. Not at all what one ontroduction expect, but reading it one can easily see how the Ancients attributed all the mystical properties to numbers.
The correspondences are amazing. How numbers are the building blocks of everything. Sort of the creation’s nivomachus. A difficult read, because of my own unwillingness to put in the requisite attention.
Feb 16, Claire rated it liked it Shelves: Surprisingly, I sort of enjoyed this book – at least some of it.
Introduction to Arithmetic
Mathematics is a kind of elegant unifying idea, despite my inability to grasp it. Glad I read it! Jan 09, Arkar Kyaw rated it really liked it. For the eye of the soul, blinded and buried by other pursuits, is rekindled and aroused again by these and these alone, and it is better that this be saved introductoon thousands of bodily eyes, for by it alone is the truth of the universe beheld.
Aug 10, Mikelis Igovens rated it it was amazing.
Reading for the first time, I grasped the overview of the ideas, and I very liked the philosophy. Definitely introducfion need to read for the second time to get into details, and maybe even third and the fourth time Maths never was so exciting as for the ancient Greeks Jul 08, Jill rated it liked it Shelves: So amazing to see the pattern and simplicity in numbers, to recognize that we discovered what was already ariithmetic meaning the organization of numbers and quantities, equality and its opposite in all its species, existed prior to our understanding it.
Mathematics proves natural law. Mar 18, Jim rated it liked it. When you’re talking about xrithmetic, you’re talking about Metaphysics. This “Arithmetic” is harder than I thought it would be, and I was a Math major. Oct 24, Robert Kaufman rated it really liked it. As a math teacher I love the simplicity and patterns in his numbers. There is beauty in math!
Nicomachus Intro to Arithmetic
Sep 05, Jennifer rated it really liked it Shelves: I don’t think I agree with Nicomachus about the Nature of God but wow, he discovered some amazing patterns and relationships with numbers.
I’ll need to study this one again.
Robert Kaufman rated it really liked it Dec 17, Jey rated it really liked it Jul 11, Avalon rated it liked it Apr 08, Gabriela rated it liked it Feb 04, Julie rated it really liked it May 29, Karin rated it really liked it Apr 25, David rated it really liked arithmetuc Jan 23, Khethil rated it did not like it Apr 18, Dallas rated it it was ok Mar 20, Josiah rated it liked aritymetic Jul 10, L rated it it was amazing Dec 10, Rabbi Katz rated it really liked it Dec 30, Lillian rated it it was amazing Jun 13, Nathan Culley rated it liked it Jun 02, Daniel Rekshan rated it liked it Jun 06, Sunflowerj rated it liked it Jun 04, Zau Seng rated it did not like it Sep 09, Joseph Dyer rated it it was amazing Feb 12, Alex Szatmary added it Sep 04,