• Edward Tranter
    5
    This is my first post. I'm British, 18, and live in Cambridge. I will begin studying Philosophy at Harvard in the autumn.

    I have read a wide variety of introductory texts, as well as some of the good stuff. I would like to delve into understanding logic. I have in my possession a copy of Principia Mathematica and Logic And Knowledge (a collection of essays by Russell).

    These works, particularly Russell's 1901 essay 'The Logic of Relations', I simply cannot apprehend. The writing itself is perfectly understandable - it is the logical notations that I struggle to grasp. I am able to find what every symbol means and put individual notations together slowly, but if I was to continue doing this the works would take multiple years to read.

    Question: Where can I learn systems of logic? Websites? Books? Or do I need to wait until I get to university (I would not like to do this)? I would like to be able to read a passage and understand every symbol and how each notation relates; I want to be able to speak the language, not just use google translate every time, if that makes sense.

    To be clear, I understand how arguments are formulation and how standard form works etc.
  • fdrake
    7.1k


    Luckily there are a lot of introductory texts in logic. Logic With Trees is a popular undergraduate one covering propositional and predicate calculus - sequent calculus, semantic tableaux and elementary model theory for both. You'll also probably have to study modal logic at some point in your degree, this is a free introductory reference with a few citations.

    More advanced logic classes might have you learn proof/model and category/topos theory, but I never got to those. :)
  • Deleted User
    0
    This user has been deleted and all their posts removed.
  • LD Saunders
    312
    I think your best bet is to start with a mathematics textbook that assists students in transitioning from computational classes to classes dealing with proofs. I think there are a number of good books out there, and one I have in my personal library is titled something like "Mathematical Reasoning," just not sure of the subtitle off the top of my head. Many books on logic do not provide answers, as do many math books on non-computational subjects, like in discrete mathematics, so you should see what the people reviewing such books say online. Is it self-study friendly? That's the main thing you need to make sure the book is good at --- allowing one to study it without an instructor, so the books will definitely need exercises along with answers. I'm teaching myself a lot of math in the hope of going to grad school in applied mathematics, and I have been burned a number of times by purchasing books online only to later discover that there are no answers to any of the exercises.
  • Edward Tranter
    5
    Thank you all! I have ordered some of the suggested books.
bold
italic
underline
strike
code
quote
ulist
image
url
mention
reveal
youtube
tweet
Add a Comment

Welcome to The Philosophy Forum!

Get involved in philosophical discussions about knowledge, truth, language, consciousness, science, politics, religion, logic and mathematics, art, history, and lots more. No ads, no clutter, and very little agreement — just fascinating conversations.

×
We use cookies and similar methods to recognize visitors and remember their preferences.