Is Bertrand Russell's "Principles of Mathematics" a good way to approach math as an amateurish enthusiast?
>>9091927
No, absolutely not. Use a modern textbook instead.
But if you're still generally curious about Russell you would be perhaps also be better served by reading Russell's Introduction to Mathematical Philosophy, a later text which is not to be confused with the earlier one which you've just cited. Russell explains the ideas in a more conversational prose fashion, after having actually spent time with them. In particular, Russell actually understands what a number is.
>>9091927
nope. it's only important in a historical sense to see what was going to be btfo'd by godel and wittgenstein
>>9092670
Wittgenstein was a mere philosopher, and so with his vagaries had no meaningful part in "blowing the fuck out" of Russell. That work was done decisively by Gödel, who employed the method of a /proof/.
We should also couch Russell's major mathematical works in their right historical periods, for clarity. the text that the OP had referred to, "Principles of Mathematics" (1903) is a quasi-autistic thing which yet comprises a single volume, and is a bit tedious. When it became clear that its ideas would need expansion, Whitehead and Russell joined forced to produce the Principia Mathematica (1910-1913), a three-volume, two-thousand page work of unparalleled and focused autism in the history of the world, outside maybe of whatever it is that computer programmers and web designers do these days which permeate our lives. The second and final edition came out in 1927, with a small list of error corrections and about a hundred pages of appendix-notes. This was the last edition of the Great Meme to have been produced while both men were still alive.
Russell wrote the more useful Introduction to Mathematical Philosophy while imprisoned for his anti-war activities. Russell thus joined a great tradition of significant literary works being written while the author was in prison.
>>9092685
>>Wittgenstein was a mere philosopher,
kek
he was russell's prized and most favored protoge who hoped that wittgenstein could complete russell's autistic project of autism - using mathematical logic as the axe and scalpel for every philosophical problem of the ages. that was until his star pupil wrote TLP
>don't understand the tractatus
>ask your student to explain it to you in great detail
>still don't get it
>urge him to submit it as his ph.d dissertation anyways
>he straight up disses you afterwards
>>9092721
as to what happened russell's project - that became what is known today as analytic philosophy
Here's one good story:
>In 1913, however, Russell stopped treating Wittgenstein as a student altogether, and began to defer to him on points of logic. In the summer of that year, a few months after this review was written, Russell's deferential attitude towards Wittgenstein was to have a devastating repercussions on Russell's own intellectual development, when, after Wittgenstein criticized with great severity a draft of a book that he was working on, Russell became convinced, temporarily at least, that he had nothing further to contribute to fundamental questions in philosophy.
>>9092723
>Continental philosophy
>This is how I feel about a subject and I will convince you that what I feel is right by pure rhetoric
This is seriously all continental philosophy is.