|
|
|
|
|
by jackson1372
3454 days ago
|
|
I'm a philosophy Philosophy PhD student. There can be a number of different reasons to read the original text of some older work of philosophy. But two central reasons that seem to be ignored here are: 1. Philosophy is closer to logic/math than science. And the reason to learn 'what Aristotle said about X' is similar to the reason to learn 'what Pythagoras said about triangles'. The pythagorean theorem doesn't become outdated in the way that scientific knowledge becomes outdated. (The difference here is just between a priori and a posteriori domains of knowledge.) 2. Explaining philosophical reasoning is, itself, doing philosophy--it requires careful reasoning and argumentation. The central thing we do (in UC Berkeley Philosophy classes) is evaluate philosophical reasoning. And so you can't simply rely on some interpreter's take on the original text--you must grapple with it yourself. Sometimes interpreters do get things right, but sometime's they don't. And telling the difference requires doing some philosophy. |
|
Only a small groups of researches of mathematical history reads what exactly Pythagoras said about triangles, in mainstream mathematics people just have a general idea of the results of Pythagoras or some rehash of his ideas and a few later/former mathematicians. Moreover, most theorems names are misattributed. The name of Pythagoras is more a nice historical anecdote about triangles and the equation x^2+y^2=z^2. Moreover, IIRC none of his books have survived. It's just a mix of folklore and indirect sources.
A better example is the work of Euclid. He wrote some books and some copies survived and you can still read them. Anyway, most mathematician don't read them, they have only a general idea of what Euclid wrote. I'm not sure what parts of his books were original and what parts were only a recompilation of the common knowledge of his time. He had a very interesting idea. You can choose some sensible axioms and derive all the geometry from them. [Whatever sensible means.] This idea survived, but the axioms he choose were wrong. Some are confusing, there are some missing cases ... IIRC with the Euclid's axioms you don't get the "real plane" with all it's points of , you can use them in a smaller plane were x and y are algebraic numbers, like fractions and square roots, ... but the point (x=pi, y=e) doesn't exist. IIRC the modern versions of axiomatic geometry use about 20 axioms, and some are very technical.
With most people like Gauss or Euler gets a few theorems named after them and a few anecdotes, but most mathematicians don't read the original material.
In some cases, it's nice to see as a curiosity a copy of the original publication. IIRC there are some copies of the work of Newton, Leibnitz or Cauchy were you can see that the notation they used is very similar to the current notation.
In other cases, the following mathematicians buried completely the original work and only the original name remains but most of the intermediate steps and notation are not made by the original author. IIRC all what you usually study about Galois theory is actually the version that was written later by Artin and Noether.