Critical Thinking Lecture 6 - Complex Arguments
Learning O'Clock - Complex Arguments
Introduction to the Module
Discussing complex arguments, found in Module Six.
Content from Modules One to Five should be familiar as it relates to the first assignment, which is due Sunday.
Assignment One does not cover Module Six.
Assignment One Reminder
Due on Sunday; can be submitted until Tuesday with late penalties.
Extensions require prior notice, not at the last minute.
Help hours available for questions prior to the submission.
Understanding Complex Arguments
Definition: Complex arguments consist of smaller arguments within a larger one.
It's common to feel overwhelmed when encountering layers in complex arguments.
The underlying principles of argument analysis remain the same; it's a matter of handling more components.
New Terminology
Main Conclusion: The final conclusion in an argument, which aids analysis.
Subarguments: Smaller arguments that support the main conclusion or other sub conclusions.
Overall Argument: The complete argument as a structure that includes every layer (main conclusion, sub arguments).
Unsupported Premises: Elements designated as “p” that do not serve as conclusions.
Changes to Standard Form
Introduced labeling for sub conclusions as C1, C2, etc., while maintaining the main conclusion, C.
Main conclusion is never an unsupported premise unless circular reasoning is present.
Sub arguments within the overall argument must all be deductive for the entire argument to be deductive.
Analogy: Introducing uncertainty into an argument is similar to contaminating a pot of soup—if even one factor is uncertain (like dirty laundry), it affects the whole.
Standard Form Notation
Use notation next to each conclusion to indicate supporting premises.
Support Types:
Dependently Supported ( + ): Components that work in tandem to support a conclusion.
Independently Supported ( ; ): Separate reasons contributing to the conclusion.
Example Argument Setup
Highlight structure of an example complex argument without focusing on the content.
Discuss practical reasons for labeling sub arguments and premises properly.
Mention the complexity of renumbering or adding statements if assistance is needed in argument formulation.
Evaluation Process for Complex Arguments
Evaluation remains similar but requires careful attention, particularly regarding support and premise acceptability.
Potential for wasting effort exists in evaluating weak parts of a structure without examining strong arguments first.
Focus shifts to the nondescriptive nature of discussions about sub conclusions and the evaluation of unsupported premises.
Pruning Process
Evaluating the overall argument involves identifying weak premises and discarding them—this is termed pruning, likened to trimming bad parts of a tree to keep it healthy.
This iterative process helps refine the argument by checking the support, then returning to assess revised acceptability until stability is achieved.
Practical Example of Argument Evaluation
Scenario where an argument about a lecturer's capabilities uses premises reflecting employment and affinity for small frogs.
Distinguish validity of premises, such as what can be considered support based on true statements or circumstantial gaps that necessitate reevaluation.
Second Example Argument
Assessing a statement about chimpanzees subjected to diseases due to environmental factors leading to endangerment.
Steps in evaluating premises lead to discussions about the strength of arguments and necessary shifts in conclusions.
Discussion of Common Fallacies
Introduction of various logical fallacies such as:
Sunk Cost Fallacy: Continuing based on bygone investments;
Special Pleading: Seeking exceptions to rules without justification;
No True Scotsman: Excluding exceptions from universal claims;
Genetic Fallacy: Judging arguments by their origin rather than current relevance.
Conclusion of the Module
Highlight danger in overly interwoven arguments that risk total collapse based on shared dependencies.
Transition towards future modules focusing on types of argumentation that require different skills beyond those practiced here.
Introduce the disposition of discretion, relating to when to engage in argumentation or critical reasoning based on context.
Deep Disagreements
Definition and examples of situations where audiences cannot arrive at common ground despite skills in critical thinking.
Importance of walking away if conversations lead to harm rather than understanding; discusses recognizing indicators of deep disagreement.
Final Assignment Practice
Hands-on exercise converting an argument into standard form and evaluating it collaboratively providing a methodology example to enhance understanding.