Notes on Logic and Symbolic Logic Introduction

Introduction to Logic

  • Speaker: Jeffrey Bagwell, Philosophy Faculty at Spokane Community College.
  • Topic: Introduction to Logic and Symbolic Logic.

What is Logic?

  • Logic is an ancient discipline initiated by Aristotle in ancient Greece and concurrent discoveries by Nayaya philosophers in India.
  • Definition: Logic is a branch of philosophy that examines correct and incorrect forms of reasoning.
    • Focuses on improving clear and precise thinking.
    • Helps in drawing conclusions, strategizing, and problem-solving.

Distinction Between Logic and Symbolic Logic

  • This course focuses on symbolic logic, which incorporates algebraic concepts.
  • Symbolic Logic:
    • Uses algebra to analyze reasoning rather than conventional math.
    • Applies algebraic techniques to assess the consistency of beliefs.

Logical Consistency Explained

  • Definition: Logical consistency exists when two or more beliefs can be true simultaneously.

  • Example 1:

    • Belief A: "Lying is always wrong."
    • Belief B: "Sometimes it's okay for people to lie."
    • Inconsistency: These beliefs cannot both be true, thus they are logically inconsistent.

  • Example 2:

    • Belief A: "I have the freedom to make my own choices."
    • Belief B: "The universe is governed by absolute laws of nature."
    • Potential Inconsistency: If absolute laws govern behavior, can true freedom of choice exist?
    • However, people often make choices unaffected by natural laws, suggesting these beliefs could represent a consistent framework.

Importance of Consistency in Beliefs

  • Significance: Having consistent beliefs is crucial for multiple reasons:
    • Hypocrisy Dislike: Discrepancies between preached beliefs and actions create annoyance and distrust.
    • Actions Derived from Beliefs: Actions stem from beliefs, and inconsistent beliefs lead to erratic behaviors which affect life choices and actions.
    • Life Consistency: Beliefs shape actions, and consistent beliefs lead to predictable behaviors, contributing to lived experiences.

Consequences of Inconsistent Beliefs

  • Logically inconsistent beliefs lead to ambiguity in behavior and expectations.
  • For instance, someone who claims stealing is wrong yet justifies personal stealing will appear erratic in their decisions.
  • Such a person is hard to predict and can lead to a chaotic life.

Conclusion

  • The objective of this course on symbolic logic is to:
    • Enhance reasoning skills using algebraic logic.
    • Identify consistent vs. inconsistent beliefs to encourage clearer thinking and better problem-solving, thereby facilitating the best possible life.