What is logic?
Logic is the study of formal reasoning, and makes up a key part of philosophy. At the college level, students learn to reason through symbols and methods often reminiscent of math. Without getting into specifics, this article provides a basic overview of the benefits and challenges of delving into logic, in addition to resources to get started.
Challenges
Logic–as a college-level philosophy class–brings more than a few challenges for beginners. For one, the complicated math-like nature of logic perplexes many interested learners. Utilizing rules and systems that strongly differ from other topics, logic stands out from typical humanities classes. Adding to the confusion, logic existing as an area of philosophy can lead students interested in thought-provoking, reasoning-based learning to struggle with its problem-solving aspects. By concealing practical thought into abstract letters and symbols, logic proves difficult to enjoy for many people.
Benefits
Despite its challenges, logic offers numerous benefits to those who pursue it. To start, for learners who value unique problem-solving patterns, logic is one practical tool to work towards a solution while minimizing human error and bias. In the process of separating independent thoughts into singular letters, you stop weighing on the tangible meaning of an argument. If we take a look at one example, we see where some challenges lie:
Q → ~ X
Taking “Q” to signify “It rains,” and “X” to be “I go outside,” the translation would be “if it rains, then I will not go outside.” However, when looking at complicated versions of similar sentences, the letters stand out, somewhat detracting from the content of the argument. This process can lead you to solutions without needing to consider the meaning, offering an alternate way of tackling problems.
Getting Started
So, after going through this article, you’re finally intrigued! Now what? To get started with logic, here are a few tips for exploring this uncommon subject. First, consider your personal strengths.
- If the intricate problem-solving processes of math appeal to you, most of logic–but especially derivations–are good topics to explore.
- For thoughtful reasoning, logical fallacies are a fascinating topic with real-life relevance.
Next, consider your options. For college students, check out your school’s philosophy department for classes and textbooks. Connecting with professors teaching logic can help you form a path to look into the subject further. Otherwise, free online resources may offer a start into introductory logic.
Further Reading
Carnap Textbook — Carnap is a free website dedicated to furthering the study of logic. Many colleges utilize this platform, and the free textbook is available at the attached link.
Introduction to Logic and Critical Thinking — This publicly available logic textbook covers enough material to get you through the basics of logic at your own pace.
Internet Archive — Internet Archive contains more than a few free resources on logic, such as Peter Smith’s An Introduction to Formal Logic. Keep in mind that you may run into resources that are outdated or difficult to understand.
…and more! The internet is boundless, and contains numerous easily accessible resources for logic. Keep in mind that this article discusses sentential logic at the introductory level. Best of luck with your journey in logic!
Thank you to Milo D for editing this article!